
Time bar (total: 13.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 0 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 1 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 2 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 3 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 4 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 5 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 6 |
| 6.8% | 0% | 0% | 100% | 0% | 0% | 0% | 7 |
| 15.9% | 0% | 0% | 100% | 0% | 0% | 0% | 8 |
| 23.1% | 0% | 0% | 100% | 0% | 0% | 0% | 9 |
| 36.5% | 0% | 0% | 100% | 0% | 0% | 0% | 10 |
| 45.4% | 0% | 0% | 100% | 0% | 0% | 0% | 11 |
| 52.3% | 0% | 0% | 100% | 0% | 0% | 0% | 12 |
Compiled 41 to 26 computations (36.6% saved)
| 1.7s | 6 713× | 1 | valid |
| 189.0ms | 1 543× | 0 | valid |
| 121.0ms | 1 094× | 0 | invalid |
ival-mult: 592.0ms (35.8% of total)adjust: 159.0ms (9.6% of total)const: 158.0ms (9.6% of total)ival-div: 156.0ms (9.4% of total)ival-<: 136.0ms (8.2% of total)ival-add: 126.0ms (7.6% of total)ival-sqrt: 121.0ms (7.3% of total)ival-sub: 101.0ms (6.1% of total)ival-neg: 56.0ms (3.4% of total)ival-and: 34.0ms (2.1% of total)exact: 9.0ms (0.5% of total)ival-assert: 3.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 248 | 2 | (9.603366830679754e-23 1.1697311962816086e-25 1.8235152753169243e-31) | 3 | (4.389111528485476e-23 1.0552654787671041e-19 2.2945064669417803e-18) | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 3 binary64) a) c) |
| 0 | 0 | - | 0 | - | (*.f64 b b) |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
| 0 | 0 | - | 0 | - | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 0 | 0 | - | 0 | - | (neg.f64 b) |
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 3 binary64) a) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) | cancellation | 247 | 6 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 245 | 4 |
| - | 2 | 5 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 245 | 3 | 1 |
| - | 2 | 3 | 2 |
| number | freq |
|---|---|
| 0 | 9 |
| 1 | 247 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 76.0ms | 422× | 1 | valid |
| 7.0ms | 90× | 0 | valid |
Compiled 156 to 40 computations (74.4% saved)
adjust: 20.0ms (34.8% of total)ival-mult: 13.0ms (22.6% of total)ival-sqrt: 7.0ms (12.2% of total)ival-div: 6.0ms (10.4% of total)ival-add: 5.0ms (8.7% of total)ival-sub: 4.0ms (7% of total)ival-neg: 2.0ms (3.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
| 1 562× | div-sub |
| 1 088× | lower-fma.f64 |
| 1 088× | lower-fma.f32 |
| 996× | sub-neg |
| 712× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 158 |
| 1 | 152 | 144 |
| 2 | 433 | 144 |
| 3 | 1173 | 144 |
| 4 | 3171 | 144 |
| 5 | 6061 | 144 |
| 0 | 12 | 17 |
| 0 | 20 | 17 |
| 1 | 36 | 16 |
| 2 | 73 | 16 |
| 3 | 156 | 16 |
| 4 | 236 | 16 |
| 5 | 374 | 16 |
| 6 | 650 | 16 |
| 7 | 1103 | 16 |
| 8 | 2241 | 16 |
| 9 | 2510 | 16 |
| 10 | 2621 | 16 |
| 11 | 2676 | 16 |
| 12 | 2677 | 16 |
| 13 | 2677 | 16 |
| 0 | 2677 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a)) |
Compiled 20 to 12 computations (40% saved)
Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 17.6% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
Compiled 20 to 12 computations (40% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 128 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | |
| cost-diff | 128 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
| 1 088× | lower-fma.f64 |
| 1 088× | lower-fma.f32 |
| 712× | lower-*.f32 |
| 706× | lower-*.f64 |
| 430× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 66 |
| 0 | 20 | 66 |
| 1 | 36 | 64 |
| 2 | 73 | 64 |
| 3 | 156 | 64 |
| 4 | 236 | 64 |
| 5 | 374 | 64 |
| 6 | 650 | 64 |
| 7 | 1103 | 64 |
| 8 | 2241 | 64 |
| 9 | 2510 | 64 |
| 10 | 2621 | 64 |
| 11 | 2676 | 64 |
| 12 | 2677 | 64 |
| 13 | 2677 | 64 |
| 0 | 2677 | 60 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 3 binary64) a) c) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
a |
c |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64)))) b) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64)))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64))) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 3 binary64) a) c) |
(*.f64 #s(literal 3 binary64) (*.f64 a c)) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
a |
c |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.078125 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | |
| accuracy | 0.25390625 | (*.f64 (*.f64 #s(literal 3 binary64) a) c) | |
| accuracy | 0.3828125 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 52.67049415646412 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
| 35.0ms | 211× | 1 | valid |
| 4.0ms | 45× | 0 | valid |
Compiled 68 to 14 computations (79.4% saved)
ival-mult: 9.0ms (36.6% of total)ival-div: 3.0ms (12.2% of total)adjust: 3.0ms (12.2% of total)ival-sqrt: 3.0ms (12.2% of total)ival-add: 2.0ms (8.1% of total)ival-sub: 2.0ms (8.1% of total)ival-neg: 1.0ms (4.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ()) |
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/2 (/ (* a c) b)) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 b) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/2 (/ (* a c) b)) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
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#s(alt (* 3 (* a c)) (taylor -inf a) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor 0 c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor 0 c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor 0 c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor 0 c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor inf c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor inf c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor inf c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor inf c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor -inf c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor -inf c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor -inf c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor -inf c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ()) |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | b | @ | 0 | (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) |
| 1.0ms | b | @ | inf | (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) |
| 1.0ms | a | @ | inf | (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) |
| 1.0ms | c | @ | 0 | (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) |
| 1.0ms | a | @ | -inf | (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) |
| 1× | egg-herbie |
| 11 360× | lower-fma.f64 |
| 11 360× | lower-fma.f32 |
| 6 828× | lower-*.f64 |
| 6 828× | lower-*.f32 |
| 3 678× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 470 | 2458 |
| 1 | 1445 | 2441 |
| 2 | 4896 | 2418 |
| 0 | 8064 | 2302 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt (* a c)) (sqrt -3)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(* -3/2 (/ (* a c) b)) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -3/2 (/ (* a c) b)) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -3 (* a c)) |
(- (pow b 2) (* 3 (* a c))) |
(- (pow b 2) (* 3 (* a c))) |
(- (pow b 2) (* 3 (* a c))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -3 (* a c)) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(* -3 (* a c)) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -3 (* a c)) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(* -3 (* a c)) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
| Outputs |
|---|
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (neg.f64 b)) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(fma.f64 b (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/24 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))) |
(* -3/2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/.f64 (fma.f64 a (*.f64 c #s(literal -3/2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 a a)) (*.f64 b b))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/.f64 (fma.f64 (*.f64 a a) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b b)) (fma.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 a c) #s(literal -3/2 binary64)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/16 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 a (*.f64 c #s(literal -3/2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 a a)) (*.f64 b b))))) b) |
(* -2 b) |
(*.f64 b #s(literal -2 binary64)) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(neg.f64 (*.f64 b (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64)))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(*.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64))) (neg.f64 b)) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(*.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64)))) (neg.f64 b)) |
(* -3/2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(*.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -27/16 binary64) a) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
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(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/6 binary64)) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)) (*.f64 (/.f64 b a) #s(literal -1/3 binary64)))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(fma.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/72 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/6 binary64)) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 b a)) #s(literal -1/3 binary64)) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64))) (/.f64 (fma.f64 (/.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) #s(literal 1/6 binary64)) (*.f64 b #s(literal 1/3 binary64))) a)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64))) (/.f64 (-.f64 (*.f64 b #s(literal 1/3 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 a c)) #s(literal -1/6 binary64)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1/72 binary64))) a)) a)) |
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 (*.f64 a a) (*.f64 (/.f64 c (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 a b)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)) (/.f64 (*.f64 b #s(literal -1/3 binary64)) (*.f64 a c)))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/6 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)) (/.f64 (*.f64 b #s(literal -1/3 binary64)) (*.f64 a c))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(*.f64 c (fma.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/72 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/6 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)) (/.f64 (*.f64 b #s(literal -1/3 binary64)) (*.f64 a c)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(*.f64 c (*.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 b (*.f64 a c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1/3 binary64))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (/.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/6 binary64)) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))) c)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1/3 binary64))) (/.f64 (-.f64 (*.f64 (/.f64 b a) #s(literal -1/3 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/72 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal 3 binary64)))) c)) c)) (neg.f64 c)) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
| 4 876× | lower-fma.f64 |
| 4 876× | lower-fma.f32 |
| 3 870× | lower-*.f32 |
| 3 864× | lower-*.f64 |
| 2 328× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 46 |
| 0 | 20 | 46 |
| 1 | 71 | 44 |
| 2 | 525 | 43 |
| 3 | 6836 | 43 |
| 0 | 8125 | 40 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(neg.f64 b) |
(*.f64 (*.f64 #s(literal 3 binary64) a) c) |
| Outputs |
|---|
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(+.f64 b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(+.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) |
(+.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(+.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(+.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 0 binary64)) b) |
(+.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) b) |
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) |
(-.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(-.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(-.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(-.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 0 binary64)) b) |
(fma.f64 b #s(literal 1 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(fma.f64 b #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(fma.f64 b #s(literal -1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(fma.f64 b (/.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(fma.f64 (*.f64 b (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(fma.f64 (*.f64 b (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(fma.f64 #s(literal 1 binary64) b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(fma.f64 #s(literal 1 binary64) b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(fma.f64 #s(literal -1 binary64) b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1/2 binary64)) b) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))))) b) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))))) b) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/2 binary64)) b) |
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(*.f64 (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a))) |
(*.f64 (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (/.f64 #s(literal 1/3 binary64) a) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(*.f64 (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -3 binary64)))) |
(*.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a))) |
(*.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 #s(literal 3 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))) |
(*.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 #s(literal 1/3 binary64) a))) |
(*.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (/.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal -1/3 binary64) a)) |
(*.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 a))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a)) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(*.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(*.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (neg.f64 a))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1/3 binary64))) |
(*.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a)) |
(*.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) a) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 3 binary64))) |
(*.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) a)) |
(*.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) a) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal 3 binary64))) |
(*.f64 (/.f64 (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 #s(literal -1/3 binary64) a)) |
(*.f64 (/.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) (fma.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (fma.f64 b (*.f64 b (*.f64 b b)) (fma.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (neg.f64 (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
b |
(+.f64 b #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) b) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) b) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b b)) b) |
(-.f64 (/.f64 #s(literal 0 binary64) b) b) |
(fma.f64 b #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 b #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) #s(literal 0 binary64)) |
(fma.f64 (*.f64 b (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) b #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) b #s(literal 0 binary64)) |
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(neg.f64 b) |
(/.f64 (*.f64 b b) b) |
(/.f64 (*.f64 b (*.f64 b b)) (*.f64 b b)) |
(/.f64 (*.f64 b (*.f64 b b)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) #s(literal 0 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 b b))) |
(pow.f64 b #s(literal 1 binary64)) |
(*.f64 b #s(literal 1 binary64)) |
(*.f64 b #s(literal -1 binary64)) |
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (*.f64 b (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(*.f64 #s(literal 1 binary64) b) |
(*.f64 #s(literal -1 binary64) b) |
(*.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64))) |
(*.f64 #s(literal 3 binary64) (*.f64 a c)) |
(*.f64 a (*.f64 #s(literal 3 binary64) c)) |
(*.f64 (*.f64 #s(literal 3 binary64) a) c) |
(*.f64 c (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (*.f64 a c) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) c) a) |
Compiled 20 413 to 1 864 computations (90.9% saved)
23 alts after pruning (23 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 531 | 23 | 554 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 532 | 23 | 555 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 17.6% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) |
| 17.3% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) b) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 17.6% | (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) | |
| 17.9% | (/.f64 (-.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)) | |
| 17.6% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a)) | |
| 17.7% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 17.7% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c)))))) (*.f64 #s(literal 3 binary64) a)) |
| 17.6% | (/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64)) | |
| 90.1% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 96.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 94.4% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 17.4% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a))) | |
| 17.6% | (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) | |
| 94.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 c (/.f64 #s(literal -1/2 binary64) b) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b))))) | |
| 96.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -9/16 binary64) a) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) | |
| 97.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) | |
| 96.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64)))) b)) | |
| ▶ | 97.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64)) (fma.f64 c #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b b))))) b)) |
| 95.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) | |
| 96.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 c (fma.f64 (*.f64 a a) (*.f64 (/.f64 c (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b)))) | |
| 97.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 a b)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b)))) | |
| ▶ | 94.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))) |
| ▶ | 90.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
Compiled 1 422 to 808 computations (43.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) | |
| cost-diff | 0 | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 640 | (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) | |
| cost-diff | 3264 | (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c)))))) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 128 | (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c)))))) | |
| cost-diff | 704 | (*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c))) | |
| cost-diff | 0 | (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) | |
| cost-diff | 0 | (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))) | |
| cost-diff | 320 | (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) | |
| cost-diff | 0 | (/.f64 c b) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) (/.f64 c b)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) | |
| cost-diff | 320 | (fma.f64 c #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b b)))) | |
| cost-diff | 320 | (fma.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64)) (fma.f64 c #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b b))))) | |
| cost-diff | 4864 | (pow.f64 b #s(literal 6 binary64)) | |
| cost-diff | 5504 | (pow.f64 b #s(literal 4 binary64)) |
| 10 006× | lower-fma.f32 |
| 9 992× | lower-fma.f64 |
| 5 214× | lower-/.f32 |
| 5 192× | lower-/.f64 |
| 4 122× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 871 |
| 0 | 135 | 820 |
| 1 | 269 | 797 |
| 2 | 720 | 760 |
| 3 | 2722 | 748 |
| 4 | 5357 | 748 |
| 0 | 8159 | 727 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64)) (fma.f64 c #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b b))))) b)) |
(/.f64 (fma.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64)) (fma.f64 c #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b b))))) b) |
(fma.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64)) (fma.f64 c #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b b))))) |
(*.f64 a a) |
a |
(*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) |
(*.f64 c (*.f64 c c)) |
c |
(*.f64 c c) |
(pow.f64 b #s(literal 4 binary64)) |
b |
#s(literal 4 binary64) |
#s(literal -9/16 binary64) |
(fma.f64 c #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b b)))) |
#s(literal -1/2 binary64) |
(fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b b))) |
#s(literal -1/6 binary64) |
(/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) |
(pow.f64 a #s(literal 4 binary64)) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64)) |
(pow.f64 c #s(literal 4 binary64)) |
#s(literal 405/64 binary64) |
(*.f64 a (pow.f64 b #s(literal 6 binary64))) |
(pow.f64 b #s(literal 6 binary64)) |
#s(literal 6 binary64) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b b)) |
(*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) |
(*.f64 a (*.f64 c c)) |
#s(literal -3/8 binary64) |
(*.f64 b b) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
#s(literal -1/2 binary64) |
(/.f64 c b) |
c |
b |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))) |
(*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) |
c |
(fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)) |
a |
(*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) |
(/.f64 c (*.f64 b (*.f64 b b))) |
(*.f64 b (*.f64 b b)) |
b |
(*.f64 b b) |
#s(literal -3/8 binary64) |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c)))))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c)))))) |
(neg.f64 b) |
b |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c))))) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c)))) |
(*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c))) |
c |
(fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c)) |
a |
#s(literal -3 binary64) |
(/.f64 (*.f64 b b) c) |
(*.f64 b b) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) |
(-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) |
(sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) |
(fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))) |
#s(literal -9 binary64) |
(*.f64 a (*.f64 c (*.f64 a c))) |
a |
(*.f64 c (*.f64 a c)) |
c |
(*.f64 a c) |
(*.f64 b (*.f64 b (*.f64 b b))) |
b |
(*.f64 b (*.f64 b b)) |
(*.f64 b b) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b))) |
(sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) |
(fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)) |
#s(literal 3 binary64) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b)) |
(*.f64 #s(literal 3 binary64) a) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64)) (fma.f64 c #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b b))))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 c (fma.f64 (/.f64 (*.f64 c c) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (fma.f64 c (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) #s(literal -1/2 binary64))) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64)))) (*.f64 a (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b b))))) b)) |
(/.f64 (fma.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64)) (fma.f64 c #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b b))))) b) |
(/.f64 (fma.f64 c (fma.f64 (/.f64 (*.f64 c c) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (fma.f64 c (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) #s(literal -1/2 binary64))) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64)))) (*.f64 a (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b b))))) b) |
(fma.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64)) (fma.f64 c #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b b))))) |
(fma.f64 c (fma.f64 (/.f64 (*.f64 c c) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (fma.f64 c (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) #s(literal -1/2 binary64))) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64)))) (*.f64 a (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b b))))) |
(*.f64 a a) |
a |
(*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64)) |
(/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) |
(/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 b b)))) |
(*.f64 c (*.f64 c c)) |
c |
(*.f64 c c) |
(pow.f64 b #s(literal 4 binary64)) |
(*.f64 b (*.f64 b (*.f64 b b))) |
b |
#s(literal 4 binary64) |
#s(literal -9/16 binary64) |
(fma.f64 c #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b b)))) |
(fma.f64 (pow.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b b)))) (*.f64 c (fma.f64 c (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) #s(literal -1/2 binary64)))) |
#s(literal -1/2 binary64) |
(fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b b))) |
(fma.f64 a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b b)) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64)))) (*.f64 a (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b b))))) |
#s(literal -1/6 binary64) |
(/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) |
(/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b b)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) |
(pow.f64 a #s(literal 4 binary64)) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64)) |
(pow.f64 c #s(literal 4 binary64)) |
#s(literal 405/64 binary64) |
(*.f64 a (pow.f64 b #s(literal 6 binary64))) |
(*.f64 a (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b b))) |
(pow.f64 b #s(literal 6 binary64)) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b b)) |
#s(literal 6 binary64) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b b)) |
(/.f64 (*.f64 a (*.f64 c (*.f64 c #s(literal -3/8 binary64)))) (*.f64 b b)) |
(*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) |
(*.f64 a (*.f64 c (*.f64 c #s(literal -3/8 binary64)))) |
(*.f64 a (*.f64 c c)) |
#s(literal -3/8 binary64) |
(*.f64 b b) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
#s(literal -1/2 binary64) |
(/.f64 c b) |
c |
b |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) (fma.f64 c (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) #s(literal -1/2 binary64)))) |
(*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) |
(*.f64 (/.f64 c b) (fma.f64 c (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) #s(literal -1/2 binary64))) |
c |
(fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)) |
(fma.f64 c (*.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) a) (/.f64 #s(literal -1/2 binary64) b)) |
a |
(*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) |
(/.f64 (*.f64 c #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b))) |
(/.f64 c (*.f64 b (*.f64 b b))) |
(*.f64 b (*.f64 b b)) |
b |
(*.f64 b b) |
#s(literal -3/8 binary64) |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c)))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c)))))) |
(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b) |
(neg.f64 b) |
b |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c))))) |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c)))) |
#s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) |
(*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c))) |
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) |
c |
(fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c)) |
(fma.f64 b (/.f64 b c) (*.f64 a #s(literal -3 binary64))) |
a |
#s(literal -3 binary64) |
(/.f64 (*.f64 b b) c) |
(*.f64 b b) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 a (*.f64 (*.f64 c c) #s(literal -9 binary64))) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)))) b)) a) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 a (*.f64 (*.f64 c c) #s(literal -9 binary64))) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)))) b) |
(-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) |
(*.f64 (*.f64 b b) (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (sqrt.f64 (fma.f64 a (*.f64 a (*.f64 (*.f64 c c) #s(literal -9 binary64))) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) |
(*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 a (*.f64 a (*.f64 (*.f64 c c) #s(literal -9 binary64))) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) |
(sqrt.f64 (fma.f64 a (*.f64 a (*.f64 (*.f64 c c) #s(literal -9 binary64))) (*.f64 b (*.f64 b (*.f64 b b))))) |
(fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))) |
(fma.f64 a (*.f64 a (*.f64 (*.f64 c c) #s(literal -9 binary64))) (*.f64 b (*.f64 b (*.f64 b b)))) |
#s(literal -9 binary64) |
(*.f64 a (*.f64 c (*.f64 a c))) |
(*.f64 a (*.f64 a (*.f64 c c))) |
a |
(*.f64 c (*.f64 a c)) |
(*.f64 a (*.f64 c c)) |
c |
(*.f64 a c) |
(*.f64 b (*.f64 b (*.f64 b b))) |
b |
(*.f64 b (*.f64 b b)) |
(*.f64 b b) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b))) |
(*.f64 (*.f64 b (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)))) |
(sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) |
(fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)) |
#s(literal 3 binary64) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b)) |
(*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)))) |
(*.f64 #s(literal 3 binary64) a) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.31640625 | (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) | |
| accuracy | 0.3828125 | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 0.48828125 | (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) | |
| accuracy | 52.89878263620674 | (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) | |
| accuracy | 0.22265625 | (/.f64 (*.f64 b b) c) | |
| accuracy | 0.25390625 | (*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c))) | |
| accuracy | 0.3828125 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c)))))) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 52.67049415646412 | (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c)))))) | |
| accuracy | 0.25390625 | (*.f64 b (*.f64 b b)) | |
| accuracy | 0.2890625 | (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) | |
| accuracy | 0.3046875 | (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) | |
| accuracy | 3.1591498001108693 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))) | |
| accuracy | 0 | (/.f64 c b) | |
| accuracy | 0 | (*.f64 #s(literal -1/2 binary64) (/.f64 c b)) | |
| accuracy | 5.989535083613955 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) | |
| accuracy | 0.36166000976844204 | (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) | |
| accuracy | 0.36166000976844204 | (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) | |
| accuracy | 0.37337875976844204 | (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) | |
| accuracy | 1.5668852527100223 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64)) (fma.f64 c #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b b))))) b)) |
| 239.0ms | 212× | 1 | valid |
| 34.0ms | 44× | 0 | valid |
Compiled 785 to 75 computations (90.4% saved)
ival-mult: 90.0ms (40.9% of total)adjust: 56.0ms (25.5% of total)ival-div: 28.0ms (12.7% of total)ival-add: 16.0ms (7.3% of total)ival-sqrt: 10.0ms (4.5% of total)ival-pow: 10.0ms (4.5% of total)ival-sub: 5.0ms (2.3% of total)const: 4.0ms (1.8% of total)exact: 1.0ms (0.5% of total)ival-neg: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (pow.f64 b #s(literal 4 binary64)) (patch (pow.f64 b #s(literal 4 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 b #s(literal 6 binary64)) (patch (pow.f64 b #s(literal 6 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64)) (fma.f64 c #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b b))))) (patch (fma.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64)) (fma.f64 c #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b b))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 c #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b b)))) (patch (fma.f64 c #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b b)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/2 binary64) (/.f64 c b)) (patch (*.f64 #s(literal -1/2 binary64) (/.f64 c b)) #<representation binary64>) () ()) |
#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ()) |
#s(alt (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) (patch (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)) (patch (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (patch (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c))) (patch (*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c))) #<representation binary64>) () ()) |
#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c)))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c)))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c)))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c)))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ()) |
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (patch (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (patch (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (patch (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64)) (fma.f64 c #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b b))))) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64)) (fma.f64 c #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b b))))) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (patch (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (patch (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (patch (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 b b) c) (patch (/.f64 (*.f64 b b) c) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (pow b 4) (taylor 0 b) (#s(alt (pow.f64 b #s(literal 4 binary64)) (patch (pow.f64 b #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 4) (taylor 0 b) (#s(alt (pow.f64 b #s(literal 4 binary64)) (patch (pow.f64 b #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 4) (taylor 0 b) (#s(alt (pow.f64 b #s(literal 4 binary64)) (patch (pow.f64 b #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 4) (taylor 0 b) (#s(alt (pow.f64 b #s(literal 4 binary64)) (patch (pow.f64 b #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 4) (taylor inf b) (#s(alt (pow.f64 b #s(literal 4 binary64)) (patch (pow.f64 b #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 4) (taylor inf b) (#s(alt (pow.f64 b #s(literal 4 binary64)) (patch (pow.f64 b #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 4) (taylor inf b) (#s(alt (pow.f64 b #s(literal 4 binary64)) (patch (pow.f64 b #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 4) (taylor inf b) (#s(alt (pow.f64 b #s(literal 4 binary64)) (patch (pow.f64 b #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 4) (taylor -inf b) (#s(alt (pow.f64 b #s(literal 4 binary64)) (patch (pow.f64 b #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 4) (taylor -inf b) (#s(alt (pow.f64 b #s(literal 4 binary64)) (patch (pow.f64 b #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 4) (taylor -inf b) (#s(alt (pow.f64 b #s(literal 4 binary64)) (patch (pow.f64 b #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 4) (taylor -inf b) (#s(alt (pow.f64 b #s(literal 4 binary64)) (patch (pow.f64 b #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 6) (taylor 0 b) (#s(alt (pow.f64 b #s(literal 6 binary64)) (patch (pow.f64 b #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 6) (taylor 0 b) (#s(alt (pow.f64 b #s(literal 6 binary64)) (patch (pow.f64 b #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 6) (taylor 0 b) (#s(alt (pow.f64 b #s(literal 6 binary64)) (patch (pow.f64 b #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 6) (taylor 0 b) (#s(alt (pow.f64 b #s(literal 6 binary64)) (patch (pow.f64 b #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 6) (taylor inf b) (#s(alt (pow.f64 b #s(literal 6 binary64)) (patch (pow.f64 b #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 6) (taylor inf b) (#s(alt (pow.f64 b #s(literal 6 binary64)) (patch (pow.f64 b #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 6) (taylor inf b) (#s(alt (pow.f64 b #s(literal 6 binary64)) (patch (pow.f64 b #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 6) (taylor inf b) (#s(alt (pow.f64 b #s(literal 6 binary64)) (patch (pow.f64 b #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 6) (taylor -inf b) (#s(alt (pow.f64 b #s(literal 6 binary64)) (patch (pow.f64 b #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 6) (taylor -inf b) (#s(alt (pow.f64 b #s(literal 6 binary64)) (patch (pow.f64 b #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 6) (taylor -inf b) (#s(alt (pow.f64 b #s(literal 6 binary64)) (patch (pow.f64 b #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 6) (taylor -inf b) (#s(alt (pow.f64 b #s(literal 6 binary64)) (patch (pow.f64 b #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 c) (taylor 0 a) (#s(alt (fma.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64)) (fma.f64 c #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b b))))) (patch (fma.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64)) (fma.f64 c #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) (taylor 0 a) (#s(alt (fma.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64)) (fma.f64 c #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b b))))) (patch (fma.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64)) (fma.f64 c #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 c) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 4))) (* -3/8 (/ (pow c 2) (pow b 2)))))) (taylor 0 a) (#s(alt (fma.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64)) (fma.f64 c #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b b))))) (patch (fma.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64)) (fma.f64 c #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 c) (* a (+ (* -3/8 (/ (pow c 2) (pow b 2))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 6))) (* -9/16 (/ (pow c 3) (pow b 4)))))))) (taylor 0 a) (#s(alt (fma.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64)) (fma.f64 c #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b b))))) (patch (fma.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64)) (fma.f64 c #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (taylor inf a) (#s(alt (fma.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64)) (fma.f64 c #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b b))))) (patch (fma.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64)) (fma.f64 c #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (* -9/16 (/ (pow c 3) (* a (pow b 4)))))) (taylor inf a) (#s(alt (fma.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64)) (fma.f64 c #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b b))))) (patch (fma.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64)) (fma.f64 c #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 4)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 2))))))) (taylor inf a) (#s(alt (fma.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64)) (fma.f64 c #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b b))))) (patch (fma.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64)) (fma.f64 c #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b b))))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) (taylor -inf c) (#s(alt (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) (patch (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) (taylor -inf c) (#s(alt (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) (patch (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) (taylor -inf c) (#s(alt (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) (patch (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor 0 a) (#s(alt (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) (patch (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) (patch (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) (patch (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (taylor inf a) (#s(alt (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) (patch (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) (taylor inf a) (#s(alt (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) (patch (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) (taylor inf a) (#s(alt (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) (patch (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) (taylor inf a) (#s(alt (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) (patch (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (taylor -inf a) (#s(alt (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) (patch (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) (taylor -inf a) (#s(alt (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) (patch (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) (taylor -inf a) (#s(alt (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) (patch (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) (taylor -inf a) (#s(alt (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) (patch (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (taylor 0 b) (#s(alt (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) (patch (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) (taylor 0 b) (#s(alt (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) (patch (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) (taylor 0 b) (#s(alt (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) (patch (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) (taylor 0 b) (#s(alt (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) (patch (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor inf b) (#s(alt (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) (patch (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) (patch (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) (patch (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) (patch (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) (taylor -inf b) (#s(alt (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) (patch (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) (taylor -inf b) (#s(alt (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) (patch (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) (taylor -inf b) (#s(alt (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) (patch (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ()) |
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#s(alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) (taylor inf c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) (taylor inf c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) (taylor inf c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) (taylor -inf c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) (taylor -inf c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))) #<representation binary64>) () ())) ()) |
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#s(alt (/ -1/2 b) (taylor 0 a) (#s(alt (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)) (patch (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) (taylor 0 a) (#s(alt (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)) (patch (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) (taylor 0 a) (#s(alt (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)) (patch (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) (taylor 0 a) (#s(alt (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)) (patch (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ (* a c) (pow b 3))) (taylor inf a) (#s(alt (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)) (patch (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ())) ()) |
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#s(alt (pow b 3) (taylor inf b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 3) (taylor inf b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (pow b 2) c) (taylor -inf c) (#s(alt (/.f64 (*.f64 b b) c) (patch (/.f64 (*.f64 b b) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow b 2) c) (taylor -inf c) (#s(alt (/.f64 (*.f64 b b) c) (patch (/.f64 (*.f64 b b) c) #<representation binary64>) () ())) ()) |
183 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | b | @ | inf | (/ (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b b))) (* 3 a)) |
| 11.0ms | c | @ | 0 | (* (pow a 4) (* (pow c 4) 405/64)) |
| 8.0ms | c | @ | -inf | (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b b))) |
| 5.0ms | b | @ | -inf | (* b (* b b)) |
| 5.0ms | a | @ | inf | (* c (+ (* a -3) (/ (* b b) c))) |
| 1× | egg-herbie |
| 7 974× | lower-*.f64 |
| 7 974× | lower-*.f32 |
| 5 800× | lower-fma.f64 |
| 5 800× | lower-fma.f32 |
| 3 404× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1886 | 20255 |
| 1 | 6186 | 20144 |
| 0 | 8124 | 19450 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -1/2 c) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 4))) (* -3/8 (/ (pow c 2) (pow b 2)))))) |
(+ (* -1/2 c) (* a (+ (* -3/8 (/ (pow c 2) (pow b 2))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 6))) (* -9/16 (/ (pow c 3) (pow b 4)))))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (* -9/16 (/ (pow c 3) (* a (pow b 4)))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 4)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 2))))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 4)))) (+ (* -1/2 (/ c (pow a 3))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 2)))))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -1 (* (pow a 3) (+ (* 9/16 (/ (pow c 3) (* a (pow b 4)))) (* 135/128 (/ (pow c 4) (pow b 6)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -3/8 (/ (pow c 2) (* a (pow b 2))))) a)) (* 135/128 (/ (pow c 4) (pow b 6)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))) a)) (* -9/16 (/ (pow c 3) (pow b 4)))) a)) (* 135/128 (/ (pow c 4) (pow b 6)))))) |
(* -1/2 c) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))) 1/2)) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 2))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4))))))) 1/2)) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -9/16 (/ (pow a 2) (* (pow b 4) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (+ (* -9/16 (/ (pow a 2) (* (pow b 4) c))) (* -3/8 (/ a (* (pow b 2) (pow c 2))))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 6))) (+ (* -9/16 (/ (pow a 2) (* (pow b 4) c))) (* -3/8 (/ a (* (pow b 2) (pow c 2)))))) (* 1/2 (/ 1 (pow c 3))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -9/16 (/ (pow a 2) (* (pow b 4) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -1 (/ (+ (* 3/8 (/ a (* (pow b 2) c))) (* 9/16 (/ (pow a 2) (pow b 4)))) c)))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -1 (/ (+ (* -1 (/ (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))) c)) (* 9/16 (/ (pow a 2) (pow b 4)))) c)))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -9/16 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 6)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))))) (pow b 6)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))))) (pow b 6)) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))) |
(* -1/2 c) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(* c (- (* c (+ (* -135/128 (/ (* (pow a 3) (pow c 2)) (pow b 6))) (* -3/8 (/ a (pow b 2))))) 1/2)) |
(* c (- (* c (+ (* -135/128 (/ (* (pow a 3) (pow c 2)) (pow b 6))) (* -3/8 (/ a (pow b 2))))) 1/2)) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -3/8 (/ a (* (pow b 2) (pow c 2)))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -3/8 (/ a (* (pow b 2) (pow c 2))))) (/ 1/2 (pow c 3)))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -3/8 (/ a (* (pow b 2) (pow c 2))))) (/ 1/2 (pow c 3)))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -3/8 (/ a (* (pow b 2) (pow c 2)))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -3/8 (/ a (* (pow b 2) (pow c 2))))) (/ 1/2 (pow c 3)))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -3/8 (/ a (* (pow b 2) (pow c 2))))) (/ 1/2 (pow c 3)))) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -1/2 c) (* a (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 6))) (* -3/8 (/ (pow c 2) (pow b 2)))))) |
(+ (* -1/2 c) (* a (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 6))) (* -3/8 (/ (pow c 2) (pow b 2)))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 2)))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (+ (* -1/2 (/ c (pow a 3))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 2))))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (+ (* -1/2 (/ c (pow a 3))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 2))))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -1 (* (pow a 3) (+ (* 3/8 (/ (pow c 2) (* (pow a 2) (pow b 2)))) (* 135/128 (/ (pow c 4) (pow b 6)))))) |
(* -1 (* (pow a 3) (+ (* 3/8 (/ (pow c 2) (* (pow a 2) (pow b 2)))) (+ (* 1/2 (/ c (pow a 3))) (* 135/128 (/ (pow c 4) (pow b 6))))))) |
(* -1 (* (pow a 3) (+ (* 3/8 (/ (pow c 2) (* (pow a 2) (pow b 2)))) (+ (* 1/2 (/ c (pow a 3))) (* 135/128 (/ (pow c 4) (pow b 6))))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -3/8 (* a (* (pow b 4) (pow c 2))))) (pow b 6)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 4) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 6)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 4) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 6)) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(* -1/2 (/ c b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(/ -1/2 b) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(* -3/8 (/ (* a c) (pow b 3))) |
(* a (- (* -3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b))))) |
(* a (- (* -3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b))))) |
(* a (- (* -3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b))))) |
(* -3/8 (/ (* a c) (pow b 3))) |
(* -1 (* a (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))))) |
(* -1 (* a (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))))) |
(* -1 (* a (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))))) |
(/ -1/2 b) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(* -3/8 (/ (* a c) (pow b 3))) |
(* c (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* c (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* c (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* -3/8 (/ (* a c) (pow b 3))) |
(* -1 (* c (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))) |
(* -1 (* c (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))) |
(* -1 (* c (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))) |
(* -3/8 (/ (* a c) (pow b 3))) |
(/ (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))) (pow b 3)) |
(/ (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))) (pow b 3)) |
(/ (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))) (pow b 3)) |
(/ -1/2 b) |
(/ (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) b) |
(/ (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) b) |
(/ (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) b) |
(/ -1/2 b) |
(* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b)) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -3 (* a c)) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* -3 (* a c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -3 (* a c)) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* -3 (* a c)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(* -3 (* a c)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(* -3/2 (/ (* a c) b)) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -3/2 (/ (* a c) b)) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* a (- (+ (* -9/2 (/ (pow c 2) (pow b 3))) (* 9/4 (/ (pow c 2) (pow b 3)))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (- (+ (* -9/2 (/ (pow c 2) (pow b 3))) (+ (* 9/4 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ (* c (- (* -9/2 (/ (pow c 2) (pow b 2))) (* -9/8 (/ (pow c 2) (pow b 2))))) (pow b 3))) (* 3/4 (* b (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6)))))))))))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (- (+ (* -9/2 (/ (pow c 2) (pow b 3))) (+ (* 9/4 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ (* c (- (* -9/2 (/ (pow c 2) (pow b 2))) (* -9/8 (/ (pow c 2) (pow b 2))))) (pow b 3))) (+ (* 3/4 (* b (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))))) (* a (- (+ (* -81/8 (/ (pow c 4) (pow b 7))) (+ (* -1/2 (* b (* (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6)))) (- (* -9/2 (/ (pow c 2) (pow b 2))) (* -9/8 (/ (pow c 2) (pow b 2))))))) (+ (* 3/4 (* b (* c (+ (* 3/2 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))) (pow b 2))) (* 27 (/ (pow c 3) (pow b 8))))))) (* 81/32 (/ (pow c 4) (pow b 7)))))) (* -1/2 (/ (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6)))) b)))))))))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* (sqrt (/ a c)) (/ (* (sqrt 1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (pow b 2))) |
(* a (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (pow b 2))) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3)))))))))) |
(* a (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (pow b 2))) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3))))))))))) |
(* a (+ (* -1/2 (* (sqrt (/ c (pow a 7))) (/ (* (+ (* 1/324 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt 1/3) 2)))) (* 1/81 (/ (pow b 6) (pow c 4)))) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (* (pow b 2) (sqrt 1/3))))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (/ (* (pow b 2) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3)))))) (sqrt 1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (pow b 2))) (+ (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3))))))) (* (sqrt (/ 1 (* (pow a 9) c))) (* (sqrt 1/3) (- (* -1/8 (/ (pow b 8) (* (pow c 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 5) (pow (sqrt 3) 3)))))))))))))) |
(* -1 (* (sqrt (/ a c)) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) |
(* -1 (* a (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2))) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3)))))))))))) |
(* -1 (* a (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2))) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (/ (* (sqrt -1) (* (+ (* -1/324 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/3) 2)))) (* 1/81 (/ (pow b 6) (pow c 4)))) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (* (pow b 2) (sqrt -1/3))))) (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* -1/8 (/ (pow b 8) (* (pow c 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -3) 3)))))))))) a)) (* -1/54 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 2) (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2))) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))))))) |
(* -3/2 (/ (* a c) b)) |
(* c (+ (* -3/2 (/ a b)) (* c (- (+ (* -9/2 (/ (pow a 2) (pow b 3))) (* 9/4 (/ (pow a 2) (pow b 3)))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (- (+ (* -9/2 (/ (pow a 2) (pow b 3))) (+ (* 9/4 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (+ (* -3/2 (/ (* a (- (* -9/2 (/ (pow a 2) (pow b 2))) (* -9/8 (/ (pow a 2) (pow b 2))))) (pow b 3))) (* 3/4 (* a (* b (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))))))))))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (- (+ (* -9/2 (/ (pow a 2) (pow b 3))) (+ (* 9/4 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (+ (* -3/2 (/ (* a (- (* -9/2 (/ (pow a 2) (pow b 2))) (* -9/8 (/ (pow a 2) (pow b 2))))) (pow b 3))) (+ (* 3/4 (* a (* b (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))))) (* c (- (+ (* -81/8 (/ (pow a 4) (pow b 7))) (+ (* -1/2 (* b (* (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))) (- (* -9/2 (/ (pow a 2) (pow b 2))) (* -9/8 (/ (pow a 2) (pow b 2))))))) (+ (* 3/4 (* a (* b (+ (* 3/2 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))) (pow b 2))) (* 27 (/ (pow a 3) (pow b 8))))))) (* 81/32 (/ (pow a 4) (pow b 7)))))) (* -1/2 (/ (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6)))) b)))))))))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* (sqrt (/ c a)) (/ (* (sqrt 1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (pow b 2))) |
(* c (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (pow b 2))) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (pow b 3) (sqrt 3)))))))))) |
(* c (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (pow b 2))) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (pow b 3) (sqrt 3))))))))))) |
(* c (+ (* -1/2 (* (sqrt (/ a (pow c 7))) (/ (* (+ (* 1/324 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt 1/3) 2)))) (* 1/81 (/ (pow b 6) (pow a 4)))) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (* (pow b 2) (sqrt 1/3))))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (* (pow b 2) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (pow b 3) (sqrt 3)))))) (sqrt 1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (pow b 2))) (+ (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (pow b 3) (sqrt 3))))))) (* (sqrt (/ 1 (* a (pow c 9)))) (* (sqrt 1/3) (- (* -1/8 (/ (pow b 8) (* (pow a 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 5) (pow (sqrt 3) 3)))))))))))))) |
(* -1 (* (sqrt (/ c a)) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) |
(* -1 (* c (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2))) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3)))))))))))) |
(* -1 (* c (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (* (sqrt -1) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2))) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (/ (* (sqrt -1) (* (+ (* -1/324 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/3) 2)))) (* 1/81 (/ (pow b 6) (pow a 4)))) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (* (pow b 2) (sqrt -1/3))))) (+ (* -1/18 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* -1/8 (/ (pow b 8) (* (pow a 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -3) 3)))))))))) c)) (* -1/54 (* (sqrt (/ c (pow a 5))) (/ (* (pow b 2) (* (sqrt -1) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3))))) (pow c 3))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2))) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))))))) |
(* (sqrt (* a c)) (* (sqrt -9) (sqrt 1/3))) |
(+ (* -1 (* b (* (sqrt 1/3) (sqrt 3)))) (* (sqrt (* a c)) (* (sqrt -9) (sqrt 1/3)))) |
(+ (* b (+ (* -1 (* (sqrt 1/3) (sqrt 3))) (* -1/18 (* (sqrt (/ 1 (* a c))) (/ (* b (sqrt -9)) (sqrt 1/3)))))) (* (sqrt (* a c)) (* (sqrt -9) (sqrt 1/3)))) |
(+ (* b (+ (* -1 (* (sqrt 1/3) (sqrt 3))) (* b (+ (* -1/18 (* (sqrt (/ 1 (* a c))) (/ (sqrt -9) (sqrt 1/3)))) (* b (+ (* -1/2 (/ (sqrt 1/3) (* a (* c (sqrt 3))))) (* 1/18 (/ (sqrt 3) (* a (* c (sqrt 1/3))))))))))) (* (sqrt (* a c)) (* (sqrt -9) (sqrt 1/3)))) |
(* -3/2 (/ (* a c) b)) |
(/ (- (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -3/2 (* a c)) (* 9/4 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (- (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -3/2 (/ (* a (* c (- (* -9/2 (* (pow a 2) (pow c 2))) (* -9/8 (* (pow a 2) (pow c 2)))))) (pow b 4))) (+ (* 3/4 (/ (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))) (pow b 4))) (* 9/4 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (- (+ (* -81/8 (/ (* (pow a 4) (pow c 4)) (pow b 6))) (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -3/2 (/ (* a (* c (- (* -9/2 (* (pow a 2) (pow c 2))) (* -9/8 (* (pow a 2) (pow c 2)))))) (pow b 4))) (+ (* -1/2 (/ (* (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (- (* -9/2 (* (pow a 2) (pow c 2))) (* -9/8 (* (pow a 2) (pow c 2))))) (pow b 6))) (+ (* 3/4 (/ (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))) (pow b 4))) (+ (* 3/4 (/ (* a (* c (+ (* 3/2 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))))) (* 27 (* (pow a 3) (pow c 3)))))) (pow b 6))) (+ (* 9/4 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 81/32 (/ (* (pow a 4) (pow c 4)) (pow b 6)))))))))))) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))))) b) |
(* -2 b) |
(* -1 (* b (+ 2 (+ (* -3 (/ (* a c) (pow b 2))) (* 3/2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (- (+ 2 (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* -3 (/ (* a c) (pow b 2))) (+ (* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* -1 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2)))))))) (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* -1 (* b (- (+ 2 (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* -3 (/ (* a c) (pow b 2))) (+ (* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* -3/2 (/ (* a (* c (- (* -9/2 (* (pow a 2) (pow c 2))) (* 9/8 (* (pow a 2) (pow c 2)))))) (pow b 6))) (+ (* -1 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 4))) (+ (* -1 (/ (+ (* 3/2 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))))) (* 27 (* (pow a 3) (pow c 3)))) (pow b 6))) (+ (* -3/4 (/ (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))) (pow b 6))) (+ (* 3/2 (/ (* a c) (pow b 2))) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6)))))))))))) (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* -3/2 (* a (* (pow b 2) c))) |
(* a (- (* a (- (* -9/2 (pow c 2)) (* -9/8 (pow c 2)))) (* 3/2 (* (pow b 2) c)))) |
(* a (- (* a (- (+ (* -9/2 (pow c 2)) (* -27/16 (/ (* a (pow c 3)) (pow b 2)))) (* -9/8 (pow c 2)))) (* 3/2 (* (pow b 2) c)))) |
(* a (- (* a (- (+ (* -9/2 (pow c 2)) (* a (- (* a (- (* -81/8 (/ (pow c 4) (pow b 4))) (* -1/2 (* (pow b 2) (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6)))))))) (* 27/16 (/ (pow c 3) (pow b 2)))))) (* -9/8 (pow c 2)))) (* 3/2 (* (pow b 2) c)))) |
(* a (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) |
(* a (- (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 5) (sqrt 3)))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))))) |
(* a (- (+ (* -1/8 (/ (pow b 10) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 7) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 5) (sqrt 3)))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))))) |
(* a (- (+ (* -1/8 (/ (pow b 10) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 14) (* (pow a 6) (* (pow c 5) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 7) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 9) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 5) (sqrt 3)))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))))))) |
(* -1 (* a (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* a (- (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 5) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))))) |
(* -1 (* a (- (+ (* -1/8 (/ (pow b 10) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 7) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 5) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))))) |
(* -1 (* a (- (+ (* -1/8 (/ (pow b 10) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 14) (* (pow a 6) (* (pow c 5) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 7) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 9) (sqrt -1)) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 5) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))))))) |
(* -3/2 (* a (* (pow b 2) c))) |
(* c (- (* c (- (* -9/2 (pow a 2)) (* -9/8 (pow a 2)))) (* 3/2 (* a (pow b 2))))) |
(* c (- (* c (- (+ (* -9/2 (pow a 2)) (* -27/16 (/ (* (pow a 3) c) (pow b 2)))) (* -9/8 (pow a 2)))) (* 3/2 (* a (pow b 2))))) |
(* c (- (* c (- (+ (* -9/2 (pow a 2)) (* c (- (* c (- (* -81/8 (/ (pow a 4) (pow b 4))) (* -1/2 (* (pow b 2) (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6)))))))) (* 27/16 (/ (pow a 3) (pow b 2)))))) (* -9/8 (pow a 2)))) (* 3/2 (* a (pow b 2))))) |
(* c (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) |
(* c (- (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 5) (sqrt 3)))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))))) |
(* c (- (+ (* -1/8 (/ (pow b 10) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 7) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 5) (sqrt 3)))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))))) |
(* c (- (+ (* -1/8 (/ (pow b 10) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 14) (* (pow a 5) (* (pow c 6) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 7) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 9) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 5) (sqrt 3)))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))))))) |
(* -1 (* c (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* c (- (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 5) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))))) |
(* -1 (* c (- (+ (* -1/8 (/ (pow b 10) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 7) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 5) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))))) |
(* -1 (* c (- (+ (* -1/8 (/ (pow b 10) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 14) (* (pow a 5) (* (pow c 6) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 7) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 9) (sqrt -1)) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 5) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))))))) |
(* a (* (pow b 2) (* c (sqrt -9)))) |
(* (pow b 2) (+ (* -1 (* (sqrt (* a c)) (* b (sqrt 3)))) (* a (* c (sqrt -9))))) |
(* (pow b 2) (+ (* a (* c (sqrt -9))) (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (* a c)) (sqrt 3)))))) |
(* (pow b 2) (+ (* a (* c (sqrt -9))) (* b (- (* (pow b 2) (- (* 1/2 (/ b (* a (* c (sqrt -9))))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt 3)))))) (* (sqrt (* a c)) (sqrt 3)))))) |
(* -3/2 (* a (* (pow b 2) c))) |
(* (pow b 2) (- (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))))) |
(* (pow b 2) (- (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))))) |
(* (pow b 2) (- (+ (* -81/8 (/ (* (pow a 4) (pow c 4)) (pow b 6))) (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 3/2 (* a c)) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))))) |
(* 2 (pow b 4)) |
(* (pow b 4) (+ 2 (* 3/2 (/ (* a c) (pow b 2))))) |
(* (pow b 4) (- (+ 2 (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* (pow b 4) (- (+ 2 (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* 1/3 (* a (- (+ (* -9/2 (/ (pow c 2) (pow b 3))) (* 9/4 (/ (pow c 2) (pow b 3)))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* 1/3 (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ (* c (- (* -9/2 (/ (pow c 2) (pow b 2))) (* -9/8 (/ (pow c 2) (pow b 2))))) (pow b 3))) (* 3/4 (* b (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))))))))) (* 1/3 (- (+ (* -9/2 (/ (pow c 2) (pow b 3))) (* 9/4 (/ (pow c 2) (pow b 3)))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* 1/3 (- (+ (* -9/2 (/ (pow c 2) (pow b 3))) (* 9/4 (/ (pow c 2) (pow b 3)))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* a (+ (* 1/3 (* a (- (+ (* -81/8 (/ (pow c 4) (pow b 7))) (+ (* -1/2 (* b (* (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6)))) (- (* -9/2 (/ (pow c 2) (pow b 2))) (* -9/8 (/ (pow c 2) (pow b 2))))))) (+ (* 3/4 (* b (* c (+ (* 3/2 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))) (pow b 2))) (* 27 (/ (pow c 3) (pow b 8))))))) (* 81/32 (/ (pow c 4) (pow b 7)))))) (* -1/2 (/ (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6)))) b))))) (* 1/3 (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ (* c (- (* -9/2 (/ (pow c 2) (pow b 2))) (* -9/8 (/ (pow c 2) (pow b 2))))) (pow b 3))) (* 3/4 (* b (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))))))))))))) |
(* 1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (pow b 2)))) |
(+ (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (pow b 2)))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3)))))))) (pow a 2)))) |
(+ (* 1/162 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (sqrt 1/3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (pow b 2)))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3)))))))) (pow a 2))))) |
(+ (* 1/162 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (sqrt 1/3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (pow b 2)))) (+ (* 1/3 (/ (+ (* -1/2 (* (sqrt (* a c)) (/ (* (+ (* 1/324 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt 1/3) 2)))) (* 1/81 (/ (pow b 6) (pow c 4)))) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (* (pow b 2) (sqrt 1/3))))) (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3)))))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* -1/8 (/ (pow b 8) (* (pow c 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 5) (pow (sqrt 3) 3))))))))) (pow a 4))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3)))))))) (pow a 2)))))) |
(* -1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) |
(+ (* -1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) (* -1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow a 2)))) |
(+ (* -1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) (+ (* -1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow a 2))) (* -1/162 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))))) |
(+ (* -1 (/ (+ (* 1/162 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 2) (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (* 1/3 (/ (+ (* -1/2 (* (sqrt (* a c)) (/ (* (sqrt -1) (* (+ (* -1/324 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/3) 2)))) (* 1/81 (/ (pow b 6) (pow c 4)))) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (* (pow b 2) (sqrt -1/3))))) (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* -1/8 (/ (pow b 8) (* (pow c 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -3) 3)))))))))) a))) (pow a 3))) (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) (* -1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow a 2))))) |
(* -1/2 (/ c b)) |
(* c (- (* 1/3 (* c (- (+ (* -9/2 (/ a (pow b 3))) (* 9/4 (/ a (pow b 3)))) (* -9/8 (/ a (pow b 3)))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* 1/3 (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (+ (* -3/2 (/ (* a (- (* -9/2 (/ a (pow b 2))) (* -9/8 (/ a (pow b 2))))) (pow b 3))) (* 3/4 (* b (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))))))))) (* 1/3 (- (+ (* -9/2 (/ a (pow b 3))) (* 9/4 (/ a (pow b 3)))) (* -9/8 (/ a (pow b 3))))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* 1/3 (- (+ (* -9/2 (/ a (pow b 3))) (* 9/4 (/ a (pow b 3)))) (* -9/8 (/ a (pow b 3))))) (* c (+ (* 1/3 (* c (- (+ (* -81/8 (/ (pow a 3) (pow b 7))) (+ (* -1/2 (* b (* (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))) (- (* -9/2 (/ a (pow b 2))) (* -9/8 (/ a (pow b 2))))))) (+ (* 3/4 (* b (+ (* 3/2 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))) (pow b 2))) (* 27 (/ (pow a 3) (pow b 8)))))) (* 81/32 (/ (pow a 3) (pow b 7)))))) (* -1/2 (/ (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6)))) (* a b)))))) (* 1/3 (+ (* -27/16 (/ (pow a 2) (pow b 5))) (+ (* -3/2 (/ (* a (- (* -9/2 (/ a (pow b 2))) (* -9/8 (/ a (pow b 2))))) (pow b 3))) (* 3/4 (* b (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))))))))))) (* 1/2 (/ 1 b)))) |
(* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (sqrt 1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (pow b 2)))) |
(* c (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt 1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (pow b 2)))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 3) (sqrt 3)))))))) (pow c 2))))) |
(* c (+ (* 1/162 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 2) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (sqrt 1/3)))) (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt 1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (pow b 2)))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 3) (sqrt 3)))))))) (pow c 2)))))) |
(* c (+ (* 1/162 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 2) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (sqrt 1/3)))) (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt 1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (pow b 2)))) (+ (* 1/3 (/ (+ (* -1/2 (* (sqrt (/ c a)) (/ (* (+ (* 1/324 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt 1/3) 2)))) (* 1/81 (/ (pow b 6) (pow a 4)))) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (* (pow b 2) (sqrt 1/3))))) (+ (* -1/18 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 3) (sqrt 3)))))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* -1/8 (/ (pow b 8) (* (pow a 4) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 5) (pow (sqrt 3) 3))))))))) (pow c 4))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 3) (sqrt 3)))))))) (pow c 2))))))) |
(* -1/3 (* (sqrt (/ c (pow a 3))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow c 2)))))) |
(* -1 (* c (+ (* 1/162 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 2) (* (sqrt -1) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow c 2))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ (+ (* -1/2 (* (sqrt (/ c a)) (/ (* (sqrt -1) (* (+ (* -1/324 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/3) 2)))) (* 1/81 (/ (pow b 6) (pow a 4)))) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (* (pow b 2) (sqrt -1/3))))) (+ (* -1/18 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* -1/8 (/ (pow b 8) (* (pow a 4) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -3) 3)))))))))) c)) (* -1/162 (* (sqrt (/ c (pow a 7))) (/ (* (pow b 2) (* (sqrt -1) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3))))) (pow c 3))) (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow c 2))))))) |
(* 1/3 (* (sqrt (/ c a)) (* (sqrt -9) (sqrt 1/3)))) |
(+ (* -1/3 (/ (* b (* (sqrt 1/3) (sqrt 3))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -9) (sqrt 1/3))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -9) (sqrt 1/3)))) (* b (+ (* -1/3 (/ (* (sqrt 1/3) (sqrt 3)) a)) (* -1/54 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b (sqrt -9)) (sqrt 1/3))))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -9) (sqrt 1/3)))) (* b (+ (* -1/3 (/ (* (sqrt 1/3) (sqrt 3)) a)) (* b (+ (* -1/54 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (sqrt -9) (sqrt 1/3)))) (* 1/3 (* b (+ (* -1/2 (/ (sqrt 1/3) (* (pow a 2) (* c (sqrt 3))))) (* 1/18 (/ (sqrt 3) (* (pow a 2) (* c (sqrt 1/3))))))))))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* 1/3 (/ (- (+ (* -9/2 (* a (pow c 2))) (* 9/4 (* a (pow c 2)))) (* -9/8 (* a (pow c 2)))) (pow b 2)))) b) |
(/ (+ (* -1/2 c) (+ (* 1/3 (/ (+ (* -27/16 (* (pow a 2) (pow c 3))) (+ (* -3/2 (* a (* c (- (* -9/2 (* a (pow c 2))) (* -9/8 (* a (pow c 2))))))) (* 3/4 (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))))) (pow b 4))) (* 1/3 (/ (- (+ (* -9/2 (* a (pow c 2))) (* 9/4 (* a (pow c 2)))) (* -9/8 (* a (pow c 2)))) (pow b 2))))) b) |
(/ (+ (* -1/2 c) (+ (* 1/3 (/ (+ (* -27/16 (* (pow a 2) (pow c 3))) (+ (* -3/2 (* a (* c (- (* -9/2 (* a (pow c 2))) (* -9/8 (* a (pow c 2))))))) (* 3/4 (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))))) (pow b 4))) (+ (* 1/3 (/ (- (+ (* -81/8 (* (pow a 3) (pow c 4))) (+ (* -1/2 (* (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (- (* -9/2 (* a (pow c 2))) (* -9/8 (* a (pow c 2)))))) (+ (* 3/4 (* c (+ (* 3/2 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))))) (* 27 (* (pow a 3) (pow c 3)))))) (* 81/32 (* (pow a 3) (pow c 4)))))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) a))) (pow b 6))) (* 1/3 (/ (- (+ (* -9/2 (* a (pow c 2))) (* 9/4 (* a (pow c 2)))) (* -9/8 (* a (pow c 2)))) (pow b 2)))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* 1/3 (/ (+ (* -3 c) (* 3/2 c)) (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* 1/3 (/ (+ (* -3 c) (* 3/2 c)) (pow b 2))) (+ (* 1/3 (/ (- (+ (* -9/2 (* a (pow c 2))) (+ (* -9/4 (* a (pow c 2))) (* -1 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) a)))) (* 9/8 (* a (pow c 2)))) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* 1/3 (/ (+ (* -3 c) (* 3/2 c)) (pow b 2))) (+ (* 1/3 (/ (+ (* -3/2 (* a (* c (- (* -9/2 (* a (pow c 2))) (* 9/8 (* a (pow c 2))))))) (+ (* -1 (/ (+ (* 3/2 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))))) (* 27 (* (pow a 3) (pow c 3)))) a)) (+ (* -3/4 (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))) (* 27/16 (* (pow a 2) (pow c 3)))))) (pow b 6))) (+ (* 1/3 (/ (- (+ (* -9/2 (* a (pow c 2))) (+ (* -9/4 (* a (pow c 2))) (* -1 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) a)))) (* 9/8 (* a (pow c 2)))) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(pow b 4) |
(+ (* -9/2 (* (pow a 2) (pow c 2))) (pow b 4)) |
(+ (* (pow a 2) (+ (* -81/8 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (* -9/2 (pow c 2)))) (pow b 4)) |
(+ (* (pow a 2) (+ (* -9/2 (pow c 2)) (* (pow a 2) (+ (* -729/16 (/ (* (pow a 2) (pow c 6)) (pow b 8))) (* -81/8 (/ (pow c 4) (pow b 4))))))) (pow b 4)) |
(* a (* (pow b 2) (* c (sqrt -9)))) |
(* a (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9))))) |
(* a (+ (* -1/8 (/ (pow b 10) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9)))))) |
(* a (+ (* -1/8 (/ (pow b 10) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 14) (* (pow a 6) (* (pow c 5) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9))))))) |
(* -1 (* a (* (pow b 2) (* c (sqrt -9))))) |
(* -1 (* a (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9)))))) |
(* -1 (* a (+ (* -1/8 (/ (pow b 10) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9))))))) |
(* -1 (* a (+ (* -1/8 (/ (pow b 10) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 14) (* (pow a 6) (* (pow c 5) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9)))))))) |
(pow b 4) |
(+ (* -9/2 (* (pow a 2) (pow c 2))) (pow b 4)) |
(+ (* (pow c 2) (+ (* -81/8 (/ (* (pow a 4) (pow c 2)) (pow b 4))) (* -9/2 (pow a 2)))) (pow b 4)) |
(+ (* (pow c 2) (+ (* -9/2 (pow a 2)) (* (pow c 2) (+ (* -729/16 (/ (* (pow a 6) (pow c 2)) (pow b 8))) (* -81/8 (/ (pow a 4) (pow b 4))))))) (pow b 4)) |
(* a (* (pow b 2) (* c (sqrt -9)))) |
(* c (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9))))) |
(* c (+ (* -1/8 (/ (pow b 10) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9)))))) |
(* c (+ (* -1/8 (/ (pow b 10) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 14) (* (pow a 5) (* (pow c 6) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9))))))) |
(* -1 (* a (* (pow b 2) (* c (sqrt -9))))) |
(* -1 (* c (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9)))))) |
(* -1 (* c (+ (* -1/8 (/ (pow b 10) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9))))))) |
(* -1 (* c (+ (* -1/8 (/ (pow b 10) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 14) (* (pow a 5) (* (pow c 6) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9)))))))) |
(* a (* (pow b 2) (* c (sqrt -9)))) |
(* (pow b 2) (+ (* 1/2 (/ (pow b 4) (* a (* c (sqrt -9))))) (* a (* c (sqrt -9))))) |
(* (pow b 2) (+ (* a (* c (sqrt -9))) (* (pow b 4) (+ (* -1/8 (/ (pow b 4) (* (pow a 3) (* (pow c 3) (pow (sqrt -9) 3))))) (* 1/2 (/ 1 (* a (* c (sqrt -9))))))))) |
(* (pow b 2) (+ (* a (* c (sqrt -9))) (* (pow b 4) (+ (* (pow b 4) (- (* 1/16 (/ (pow b 4) (* (pow a 5) (* (pow c 5) (pow (sqrt -9) 5))))) (* 1/8 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -9) 3))))))) (* 1/2 (/ 1 (* a (* c (sqrt -9))))))))) |
(pow b 4) |
(* (pow b 4) (+ 1 (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) |
(* (pow b 4) (+ 1 (+ (* -81/8 (/ (* (pow a 4) (pow c 4)) (pow b 8))) (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* (pow b 4) (+ 1 (+ (* -729/16 (/ (* (pow a 6) (pow c 6)) (pow b 12))) (+ (* -81/8 (/ (* (pow a 4) (pow c 4)) (pow b 8))) (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(pow b 4) |
(* (pow b 4) (+ 1 (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) |
(* (pow b 4) (+ 1 (+ (* -81/8 (/ (* (pow a 4) (pow c 4)) (pow b 8))) (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* (pow b 4) (+ 1 (+ (* -729/16 (/ (* (pow a 6) (pow c 6)) (pow b 12))) (+ (* -81/8 (/ (* (pow a 4) (pow c 4)) (pow b 8))) (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (* (pow a 4) (pow c 4))) |
(* 405/64 (* (pow a 4) (pow c 4))) |
(* 405/64 (* (pow a 4) (pow c 4))) |
(* 405/64 (* (pow a 4) (pow c 4))) |
(* 405/64 (* (pow a 4) (pow c 4))) |
(* 405/64 (* (pow a 4) (pow c 4))) |
(* 405/64 (* (pow a 4) (pow c 4))) |
(* 405/64 (* (pow a 4) (pow c 4))) |
(* 405/64 (* (pow a 4) (pow c 4))) |
(* 405/64 (* (pow a 4) (pow c 4))) |
(* 405/64 (* (pow a 4) (pow c 4))) |
(* 405/64 (* (pow a 4) (pow c 4))) |
(* 405/64 (* (pow a 4) (pow c 4))) |
(* 405/64 (* (pow a 4) (pow c 4))) |
(* 405/64 (* (pow a 4) (pow c 4))) |
(* 405/64 (* (pow a 4) (pow c 4))) |
(* 405/64 (* (pow a 4) (pow c 4))) |
(* 405/64 (* (pow a 4) (pow c 4))) |
(* 405/64 (* (pow a 4) (pow c 4))) |
(* 405/64 (* (pow a 4) (pow c 4))) |
(* 405/64 (* (pow a 4) (pow c 4))) |
(* 405/64 (* (pow a 4) (pow c 4))) |
(* 405/64 (* (pow a 4) (pow c 4))) |
(* 405/64 (* (pow a 4) (pow c 4))) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(/ (pow b 2) c) |
(/ (pow b 2) c) |
(/ (pow b 2) c) |
(/ (pow b 2) c) |
(/ (pow b 2) c) |
(/ (pow b 2) c) |
(/ (pow b 2) c) |
(/ (pow b 2) c) |
(/ (pow b 2) c) |
(/ (pow b 2) c) |
(/ (pow b 2) c) |
(/ (pow b 2) c) |
(/ (pow b 2) c) |
(/ (pow b 2) c) |
(/ (pow b 2) c) |
(/ (pow b 2) c) |
(/ (pow b 2) c) |
(/ (pow b 2) c) |
(/ (pow b 2) c) |
(/ (pow b 2) c) |
(/ (pow b 2) c) |
(/ (pow b 2) c) |
(/ (pow b 2) c) |
(/ (pow b 2) c) |
| Outputs |
|---|
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(pow b 6) |
(pow.f64 b #s(literal 6 binary64)) |
(pow b 6) |
(pow.f64 b #s(literal 6 binary64)) |
(pow b 6) |
(pow.f64 b #s(literal 6 binary64)) |
(pow b 6) |
(pow.f64 b #s(literal 6 binary64)) |
(pow b 6) |
(pow.f64 b #s(literal 6 binary64)) |
(pow b 6) |
(pow.f64 b #s(literal 6 binary64)) |
(pow b 6) |
(pow.f64 b #s(literal 6 binary64)) |
(pow b 6) |
(pow.f64 b #s(literal 6 binary64)) |
(pow b 6) |
(pow.f64 b #s(literal 6 binary64)) |
(pow b 6) |
(pow.f64 b #s(literal 6 binary64)) |
(pow b 6) |
(pow.f64 b #s(literal 6 binary64)) |
(pow b 6) |
(pow.f64 b #s(literal 6 binary64)) |
(* -1/2 c) |
(*.f64 #s(literal -1/2 binary64) c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) |
(+ (* -1/2 c) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 4))) (* -3/8 (/ (pow c 2) (pow b 2)))))) |
(fma.f64 #s(literal -1/2 binary64) c (*.f64 a (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b b))))) |
(+ (* -1/2 c) (* a (+ (* -3/8 (/ (pow c 2) (pow b 2))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 6))) (* -9/16 (/ (pow c 3) (pow b 4)))))))) |
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 6 binary64)))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (* -9/16 (/ (pow c 3) (* a (pow b 4)))))) |
(*.f64 (*.f64 a (*.f64 a a)) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (pow.f64 b #s(literal 4 binary64)) a)) (/.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 4)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 2))))))) |
(*.f64 (*.f64 a (*.f64 a a)) (fma.f64 #s(literal -135/128 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 a a))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c))) (*.f64 (pow.f64 b #s(literal 4 binary64)) a))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 4)))) (+ (* -1/2 (/ c (pow a 3))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 2)))))))) |
(*.f64 (*.f64 a (*.f64 a a)) (fma.f64 #s(literal -135/128 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (pow.f64 b #s(literal 4 binary64)) a)) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 a a))) (*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 a (*.f64 a a)))))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(* -1 (* (pow a 3) (+ (* 9/16 (/ (pow c 3) (* a (pow b 4)))) (* 135/128 (/ (pow c 4) (pow b 6)))))) |
(*.f64 (neg.f64 (*.f64 a (*.f64 a a))) (fma.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 135/128 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 c (*.f64 c c))) (*.f64 (pow.f64 b #s(literal 4 binary64)) a)))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -3/8 (/ (pow c 2) (* a (pow b 2))))) a)) (* 135/128 (/ (pow c 4) (pow b 6)))))) |
(*.f64 (neg.f64 (*.f64 a (*.f64 a a))) (-.f64 (/.f64 (*.f64 #s(literal 135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 a (*.f64 b b))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64)))) a))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))) a)) (* -9/16 (/ (pow c 3) (pow b 4)))) a)) (* 135/128 (/ (pow c 4) (pow b 6)))))) |
(*.f64 (neg.f64 (*.f64 a (*.f64 a a))) (-.f64 (/.f64 (*.f64 #s(literal 135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 (/.f64 (*.f64 c c) (*.f64 b b)) #s(literal 3/8 binary64) (/.f64 (*.f64 c #s(literal 1/2 binary64)) a)) a)) a))) |
(* -1/2 c) |
(*.f64 #s(literal -1/2 binary64) c) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))) 1/2)) |
(*.f64 c (fma.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/2 binary64))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 2))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4))))))) 1/2)) |
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 c (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 6 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b)))) #s(literal -1/2 binary64))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -9/16 (/ (pow a 2) (* (pow b 4) c))))) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a a) (*.f64 (pow.f64 b #s(literal 4 binary64)) c)) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 6 binary64))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (+ (* -9/16 (/ (pow a 2) (* (pow b 4) c))) (* -3/8 (/ a (* (pow b 2) (pow c 2))))))) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) (fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a a) (*.f64 (pow.f64 b #s(literal 4 binary64)) c)) (/.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 (*.f64 c c) (*.f64 b b)))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 6))) (+ (* -9/16 (/ (pow a 2) (* (pow b 4) c))) (* -3/8 (/ a (* (pow b 2) (pow c 2)))))) (* 1/2 (/ 1 (pow c 3))))) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) (fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 6 binary64))) (-.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a a) (*.f64 (pow.f64 b #s(literal 4 binary64)) c)) (/.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 (*.f64 c c) (*.f64 b b)))) (/.f64 #s(literal 1/2 binary64) (*.f64 c (*.f64 c c)))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -9/16 (/ (pow a 2) (* (pow b 4) c))))) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a a) (*.f64 (pow.f64 b #s(literal 4 binary64)) c)) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 6 binary64))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -1 (/ (+ (* 3/8 (/ a (* (pow b 2) c))) (* 9/16 (/ (pow a 2) (pow b 4)))) c)))) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) (-.f64 (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 6 binary64))) (/.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 a (*.f64 c (*.f64 b b))) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64)))) c))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -1 (/ (+ (* -1 (/ (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))) c)) (* 9/16 (/ (pow a 2) (pow b 4)))) c)))) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) (-.f64 (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 6 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (-.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c)) c)) c))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -9/16 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 6)) |
(/.f64 (fma.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 6 binary64))) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))))) (pow b 6)) |
(/.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 a (*.f64 b b)) (*.f64 c c)) (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 6 binary64))) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))))) (pow b 6)) |
(/.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))))) (*.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 6 binary64))) |
(* -1/2 c) |
(*.f64 #s(literal -1/2 binary64) c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) |
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(fma.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c))) |
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))) |
(fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)))) |
(* -1/2 c) |
(*.f64 #s(literal -1/2 binary64) c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) |
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(fma.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c))) |
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(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(*.f64 (neg.f64 c) (*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 b (*.f64 c a))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) c))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 b a)) (/.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))) c)) c))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (* (pow a 4) (pow c 4))) |
(*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 c #s(literal 4 binary64))) |
(* 405/64 (* (pow a 4) (pow c 4))) |
(*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 c #s(literal 4 binary64))) |
(* 405/64 (* (pow a 4) (pow c 4))) |
(*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 c #s(literal 4 binary64))) |
(* 405/64 (* (pow a 4) (pow c 4))) |
(*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 c #s(literal 4 binary64))) |
(* 405/64 (* (pow a 4) (pow c 4))) |
(*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 c #s(literal 4 binary64))) |
(* 405/64 (* (pow a 4) (pow c 4))) |
(*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 c #s(literal 4 binary64))) |
(* 405/64 (* (pow a 4) (pow c 4))) |
(*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 c #s(literal 4 binary64))) |
(* 405/64 (* (pow a 4) (pow c 4))) |
(*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 c #s(literal 4 binary64))) |
(* 405/64 (* (pow a 4) (pow c 4))) |
(*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 c #s(literal 4 binary64))) |
(* 405/64 (* (pow a 4) (pow c 4))) |
(*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 c #s(literal 4 binary64))) |
(* 405/64 (* (pow a 4) (pow c 4))) |
(*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 c #s(literal 4 binary64))) |
(* 405/64 (* (pow a 4) (pow c 4))) |
(*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 c #s(literal 4 binary64))) |
(* 405/64 (* (pow a 4) (pow c 4))) |
(*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 c #s(literal 4 binary64))) |
(* 405/64 (* (pow a 4) (pow c 4))) |
(*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 c #s(literal 4 binary64))) |
(* 405/64 (* (pow a 4) (pow c 4))) |
(*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 c #s(literal 4 binary64))) |
(* 405/64 (* (pow a 4) (pow c 4))) |
(*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 c #s(literal 4 binary64))) |
(* 405/64 (* (pow a 4) (pow c 4))) |
(*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 c #s(literal 4 binary64))) |
(* 405/64 (* (pow a 4) (pow c 4))) |
(*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 c #s(literal 4 binary64))) |
(* 405/64 (* (pow a 4) (pow c 4))) |
(*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 c #s(literal 4 binary64))) |
(* 405/64 (* (pow a 4) (pow c 4))) |
(*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 c #s(literal 4 binary64))) |
(* 405/64 (* (pow a 4) (pow c 4))) |
(*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 c #s(literal 4 binary64))) |
(* 405/64 (* (pow a 4) (pow c 4))) |
(*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 c #s(literal 4 binary64))) |
(* 405/64 (* (pow a 4) (pow c 4))) |
(*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 c #s(literal 4 binary64))) |
(* 405/64 (* (pow a 4) (pow c 4))) |
(*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 c #s(literal 4 binary64))) |
(/ (pow c 3) (pow b 4)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) |
(/ (pow c 3) (pow b 4)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) |
(/ (pow c 3) (pow b 4)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) |
(/ (pow c 3) (pow b 4)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) |
(/ (pow c 3) (pow b 4)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) |
(/ (pow c 3) (pow b 4)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) |
(/ (pow c 3) (pow b 4)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) |
(/ (pow c 3) (pow b 4)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) |
(/ (pow c 3) (pow b 4)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) |
(/ (pow c 3) (pow b 4)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) |
(/ (pow c 3) (pow b 4)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) |
(/ (pow c 3) (pow b 4)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) |
(/ (pow c 3) (pow b 4)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) |
(/ (pow c 3) (pow b 4)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) |
(/ (pow c 3) (pow b 4)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) |
(/ (pow c 3) (pow b 4)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) |
(/ (pow c 3) (pow b 4)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) |
(/ (pow c 3) (pow b 4)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) |
(/ (pow c 3) (pow b 4)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) |
(/ (pow c 3) (pow b 4)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) |
(/ (pow c 3) (pow b 4)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) |
(/ (pow c 3) (pow b 4)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) |
(/ (pow c 3) (pow b 4)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) |
(/ (pow c 3) (pow b 4)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(/ (pow b 2) c) |
(/.f64 (*.f64 b b) c) |
(/ (pow b 2) c) |
(/.f64 (*.f64 b b) c) |
(/ (pow b 2) c) |
(/.f64 (*.f64 b b) c) |
(/ (pow b 2) c) |
(/.f64 (*.f64 b b) c) |
(/ (pow b 2) c) |
(/.f64 (*.f64 b b) c) |
(/ (pow b 2) c) |
(/.f64 (*.f64 b b) c) |
(/ (pow b 2) c) |
(/.f64 (*.f64 b b) c) |
(/ (pow b 2) c) |
(/.f64 (*.f64 b b) c) |
(/ (pow b 2) c) |
(/.f64 (*.f64 b b) c) |
(/ (pow b 2) c) |
(/.f64 (*.f64 b b) c) |
(/ (pow b 2) c) |
(/.f64 (*.f64 b b) c) |
(/ (pow b 2) c) |
(/.f64 (*.f64 b b) c) |
(/ (pow b 2) c) |
(/.f64 (*.f64 b b) c) |
(/ (pow b 2) c) |
(/.f64 (*.f64 b b) c) |
(/ (pow b 2) c) |
(/.f64 (*.f64 b b) c) |
(/ (pow b 2) c) |
(/.f64 (*.f64 b b) c) |
(/ (pow b 2) c) |
(/.f64 (*.f64 b b) c) |
(/ (pow b 2) c) |
(/.f64 (*.f64 b b) c) |
(/ (pow b 2) c) |
(/.f64 (*.f64 b b) c) |
(/ (pow b 2) c) |
(/.f64 (*.f64 b b) c) |
(/ (pow b 2) c) |
(/.f64 (*.f64 b b) c) |
(/ (pow b 2) c) |
(/.f64 (*.f64 b b) c) |
(/ (pow b 2) c) |
(/.f64 (*.f64 b b) c) |
(/ (pow b 2) c) |
(/.f64 (*.f64 b b) c) |
| 5 148× | lower-*.f32 |
| 5 102× | lower-*.f64 |
| 4 746× | lower-fma.f32 |
| 4 732× | lower-fma.f64 |
| 3 172× | lower-pow.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 524 |
| 0 | 135 | 486 |
| 1 | 505 | 457 |
| 2 | 4019 | 426 |
| 0 | 8356 | 418 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 b #s(literal 4 binary64)) |
(pow.f64 b #s(literal 6 binary64)) |
(fma.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64)) (fma.f64 c #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b b))))) |
(fma.f64 c #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(/.f64 c b) |
(*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))) |
(fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)) |
(*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) |
(*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c))) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c)))))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c)))))) (*.f64 #s(literal 3 binary64) a)) |
(neg.f64 b) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) |
(-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64)) (fma.f64 c #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b b))))) b)) |
(/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) |
(*.f64 b (*.f64 b b)) |
(/.f64 (*.f64 b b) c) |
| Outputs |
|---|
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 b))) |
(exp.f64 (*.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) |
(neg.f64 (*.f64 b (*.f64 b (*.f64 b b)))) |
(pow.f64 b #s(literal 4 binary64)) |
(pow.f64 (*.f64 b b) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 b) #s(literal 4 binary64)) |
(pow.f64 (*.f64 b (neg.f64 b)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 b)) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(*.f64 (*.f64 b b) (*.f64 b b)) |
(*.f64 (*.f64 b b) (*.f64 b (neg.f64 b))) |
(*.f64 (*.f64 b (*.f64 b b)) b) |
(*.f64 (*.f64 b (*.f64 b b)) (neg.f64 b)) |
(*.f64 (neg.f64 b) (*.f64 b (*.f64 b b))) |
(*.f64 (*.f64 b (neg.f64 b)) (*.f64 b b)) |
(*.f64 (*.f64 b (neg.f64 b)) (*.f64 b (neg.f64 b))) |
(*.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) |
(*.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 b b)) |
(exp.f64 (*.f64 #s(literal 6 binary64) (log.f64 b))) |
(exp.f64 (*.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 b)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 b (*.f64 b b))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 b (neg.f64 b))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 b) #s(literal 3 binary64)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 #s(literal 4 binary64) (log.f64 b) (*.f64 (log.f64 b) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 b) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (log.f64 b)))) |
(exp.f64 (fma.f64 (log.f64 b) #s(literal 3 binary64) (*.f64 (log.f64 b) #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (neg.f64 b)) #s(literal 3 binary64) (*.f64 (log.f64 (neg.f64 b)) #s(literal 3 binary64)))) |
(/.f64 (*.f64 c (*.f64 c c)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) |
(/.f64 (pow.f64 (*.f64 c (*.f64 b b)) #s(literal 3 binary64)) (*.f64 c (*.f64 c c))) |
(/.f64 (pow.f64 (*.f64 (*.f64 b b) c) #s(literal 3 binary64)) (*.f64 c (*.f64 c c))) |
(/.f64 (pow.f64 (*.f64 c #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) |
(/.f64 (pow.f64 (*.f64 c (*.f64 b (neg.f64 b))) #s(literal 3 binary64)) (neg.f64 (*.f64 c (*.f64 c c)))) |
(/.f64 (pow.f64 (*.f64 #s(literal 1 binary64) c) #s(literal 3 binary64)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) |
(/.f64 (pow.f64 (*.f64 (*.f64 b (neg.f64 b)) c) #s(literal 3 binary64)) (neg.f64 (*.f64 c (*.f64 c c)))) |
(pow.f64 b #s(literal 6 binary64)) |
(pow.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 3/2 binary64)) |
(pow.f64 (*.f64 b b) #s(literal 3 binary64)) |
(pow.f64 (*.f64 b (*.f64 b b)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 b) #s(literal 6 binary64)) |
(pow.f64 (*.f64 b (neg.f64 b)) #s(literal 3 binary64)) |
(pow.f64 (exp.f64 #s(literal 6 binary64)) (log.f64 b)) |
(*.f64 b (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) b)) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b b)) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b (neg.f64 b))) |
(*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) #s(literal 1 binary64)) |
(*.f64 (*.f64 c (*.f64 c c)) (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 c (*.f64 c c)))) |
(*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) |
(*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) |
(*.f64 (*.f64 b (*.f64 b b)) (pow.f64 (*.f64 (/.f64 b c) c) #s(literal 3 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 c (*.f64 c c))) (*.f64 c (*.f64 c c))) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) |
(*.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 (*.f64 b (*.f64 b b)) #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) b) b) |
(*.f64 (pow.f64 (*.f64 b (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) #s(literal 3 binary64)) (*.f64 b (*.f64 b b))) |
(*.f64 (pow.f64 (*.f64 c (*.f64 b b)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c c)))) |
(*.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 c c)))) |
(+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b b))) (fma.f64 (*.f64 a a) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 c #s(literal -1/2 binary64)))) |
(+.f64 (fma.f64 a (*.f64 (*.f64 c c) (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b))))) |
(+.f64 (*.f64 c #s(literal -1/2 binary64)) (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(+.f64 (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 a (*.f64 (*.f64 c c) (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))))) |
(+.f64 (fma.f64 (*.f64 a a) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b b)))) |
(+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(+.f64 (fma.f64 a (*.f64 a (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b b)))) (*.f64 c #s(literal -1/2 binary64))) |
(+.f64 (fma.f64 (*.f64 a a) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b b))) |
(+.f64 (+.f64 (fma.f64 (*.f64 a a) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 c #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b b))) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a))) |
(+.f64 (+.f64 (fma.f64 (*.f64 a a) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 c #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a))) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b b))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 a a) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 b b)))))) #s(literal 81/256 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 a (*.f64 (*.f64 c c) (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64)))))) (/.f64 (pow.f64 (fma.f64 a (*.f64 (*.f64 c c) (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 a (*.f64 (*.f64 c c) (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))))))) |
(fma.f64 a (*.f64 a (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 a (*.f64 (*.f64 c c) (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))))) |
(fma.f64 (*.f64 a a) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 a (*.f64 (*.f64 c c) (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))))) |
(fma.f64 c #s(literal -1/2 binary64) (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) |
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(fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) |
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)) |
(fma.f64 (neg.f64 c) (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) |
(fma.f64 #s(literal 1 binary64) (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 a (*.f64 c #s(literal 3 binary64))) (*.f64 b b)) |
(fma.f64 #s(literal -1 binary64) (*.f64 b (neg.f64 b)) (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
(fma.f64 (neg.f64 (*.f64 a c)) #s(literal 3 binary64) (*.f64 b b)) |
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(fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) |
(fma.f64 (*.f64 c b) (/.f64 b c) (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
(fma.f64 (*.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) c) (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
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(*.f64 (*.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -9 binary64) (*.f64 a (*.f64 a (*.f64 c c)))))) (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal 3 binary64)))))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal 3 binary64)))))))) |
(*.f64 (*.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -9 binary64) (*.f64 a (*.f64 a (*.f64 c c)))))) (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal 3 binary64)))))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal 3 binary64))))))) (*.f64 a #s(literal 3 binary64)))) |
(*.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -9 binary64) (*.f64 a (*.f64 a (*.f64 c c)))))) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal 3 binary64)))))) (neg.f64 (*.f64 b #s(literal 1 binary64)))) (/.f64 #s(literal 1/3 binary64) a)) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -9 binary64) (*.f64 a (*.f64 a (*.f64 c c)))))) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal 3 binary64)))))) (neg.f64 (*.f64 b #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -9 binary64) (*.f64 a (*.f64 a (*.f64 c c)))))) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal 3 binary64)))))) (neg.f64 (*.f64 b #s(literal 1 binary64)))) (*.f64 a #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -9 binary64) (*.f64 a (*.f64 a (*.f64 c c)))))) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal 3 binary64)))))) (neg.f64 (*.f64 b #s(literal 1 binary64))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -9 binary64) (*.f64 a (*.f64 a (*.f64 c c)))))) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal 3 binary64)))))) (neg.f64 (*.f64 b #s(literal 1 binary64)))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (/.f64 (*.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -9 binary64) (*.f64 a (*.f64 a (*.f64 c c)))))) (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal 3 binary64)))))))) a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal 3 binary64))))))) #s(literal 3 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -9 binary64) (*.f64 a (*.f64 a (*.f64 c c)))))) (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal 3 binary64)))))))) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal 3 binary64))))))) a)) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 a (fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -9 binary64) (*.f64 a (*.f64 a (*.f64 c c)))))) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal 3 binary64)))))) (neg.f64 (*.f64 b #s(literal 1 binary64))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -9 binary64) (*.f64 a (*.f64 a (*.f64 c c)))))) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal 3 binary64)))))) (neg.f64 (*.f64 b #s(literal 1 binary64)))) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (/.f64 a (*.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -9 binary64) (*.f64 a (*.f64 a (*.f64 c c)))))) (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal 3 binary64))))))))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal 3 binary64)))))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -9 binary64) (*.f64 a (*.f64 a (*.f64 c c)))))) (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal 3 binary64))))))))) #s(literal -1 binary64)) (pow.f64 (/.f64 a (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal 3 binary64)))))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -9 binary64) (*.f64 a (*.f64 a (*.f64 c c)))))) (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal 3 binary64))))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal 3 binary64)))))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) (neg.f64 (*.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -9 binary64) (*.f64 a (*.f64 a (*.f64 c c)))))) (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal 3 binary64)))))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal 3 binary64))))) (*.f64 b (neg.f64 b))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -9 binary64) (*.f64 a (*.f64 a (*.f64 c c)))))) (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal 3 binary64)))))))) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal 3 binary64))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(exp.f64 (fma.f64 (log.f64 b) #s(literal 2 binary64) (*.f64 (log.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -9 binary64) (*.f64 a (*.f64 a (*.f64 c c)))))) #s(literal 1/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -9 binary64) (*.f64 a (*.f64 a (*.f64 c c)))))) #s(literal 1/2 binary64) (*.f64 (log.f64 b) #s(literal 2 binary64)))) |
(*.f64 b (*.f64 b (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -9 binary64) (*.f64 a (*.f64 a (*.f64 c c)))))))) |
(*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -9 binary64) (*.f64 a (*.f64 a (*.f64 c c))))))) |
(*.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -9 binary64) (*.f64 a (*.f64 a (*.f64 c c)))))) (*.f64 b b)) |
(*.f64 (*.f64 b (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -9 binary64) (*.f64 a (*.f64 a (*.f64 c c))))))) b) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (*.f64 a (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 a (*.f64 (*.f64 c c) (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))))) b)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (neg.f64 (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)))) |
(neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 c (*.f64 c (*.f64 c c))))) #s(literal -405/64 binary64)) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a))) |
(/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) |
(/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 c (*.f64 c (*.f64 c c))))) #s(literal -405/64 binary64)) (neg.f64 (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))) a)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))))))) |
(/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))) a)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 c (*.f64 c (*.f64 c c))))) #s(literal -405/64 binary64))) (neg.f64 (neg.f64 (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))) a))) (neg.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) |
(/.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) a) |
(/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) |
(/.f64 (*.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) a) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) |
(/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) a) |
(/.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))) a)) (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b b))) |
(pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))) a))) #s(literal -1 binary64)) |
(*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a))) |
(*.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)))) |
(*.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a))) |
(*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 c (*.f64 c (*.f64 c c))))) #s(literal -405/64 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)))) |
(*.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) a) (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) |
(*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) a)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 c (*.f64 c (*.f64 c c))))) (*.f64 #s(literal 405/64 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)))) |
(*.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 c (*.f64 c (*.f64 c c))))) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a))) |
(*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))) a)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) |
(*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 a (*.f64 a (*.f64 a a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))) a))) |
(*.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))) a)) |
(*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))) a) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) |
(*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 c (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 405/64 binary64) a)) |
(*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 c (*.f64 c (*.f64 c c))))) a) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal -1 binary64)) (pow.f64 (/.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 c (*.f64 c (*.f64 c c)))))) #s(literal -1 binary64)) (pow.f64 (/.f64 a #s(literal 405/64 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 a (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 c (*.f64 c (*.f64 c c)))))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) #s(literal 405/64 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) |
(*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) |
(*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 c (*.f64 c (*.f64 c c)))))) |
(*.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))) (*.f64 a (*.f64 a (*.f64 a a)))) |
(*.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 c (*.f64 c (*.f64 c c))))) #s(literal 405/64 binary64)) |
(*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 405/64 binary64)) (*.f64 c (*.f64 c (*.f64 c c)))) |
(*.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))) (*.f64 a a)) (*.f64 a a)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 c (*.f64 c c)))) #s(literal -1 binary64))) |
(exp.f64 (fma.f64 (log.f64 c) #s(literal 3 binary64) (neg.f64 (*.f64 #s(literal 4 binary64) (log.f64 b))))) |
(exp.f64 (+.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (log.f64 b))) (*.f64 (log.f64 c) #s(literal 3 binary64)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 c) #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) (log.f64 b)))) |
(neg.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 b b))))) |
(/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 b b)))) |
(/.f64 (neg.f64 (*.f64 c (*.f64 c c))) (*.f64 b (*.f64 b (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 c (*.f64 c c)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 c (*.f64 c c))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 c (*.f64 c c))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) |
(/.f64 (/.f64 (*.f64 c (*.f64 c c)) b) (*.f64 b (*.f64 b b))) |
(/.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b b)) (*.f64 b b)) |
(/.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) b) |
(/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal 1 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) |
(pow.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 c (*.f64 c c))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 c (*.f64 c c))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 c (/.f64 (*.f64 c c) (*.f64 b (*.f64 b (*.f64 b b))))) |
(*.f64 (*.f64 c c) (*.f64 c (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(*.f64 (*.f64 c c) (/.f64 c (*.f64 b (*.f64 b (*.f64 b b))))) |
(*.f64 (*.f64 c (*.f64 c c)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) |
(*.f64 (/.f64 c b) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b)))) |
(*.f64 (/.f64 c b) (pow.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 c c)) #s(literal -1 binary64))) |
(*.f64 (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 (*.f64 c c) b)) |
(*.f64 (/.f64 c (*.f64 b (*.f64 b b))) (pow.f64 (/.f64 b (*.f64 c c)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (*.f64 c (*.f64 c c))) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 b b))))) |
(*.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 c c) (*.f64 b b))) |
(*.f64 (/.f64 c (*.f64 b b)) (pow.f64 (/.f64 (*.f64 b b) (*.f64 c c)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 c c))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (pow.f64 (/.f64 (*.f64 b b) (*.f64 c (*.f64 c c))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 c (*.f64 c c))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c c))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b))) (pow.f64 (/.f64 b (*.f64 c (*.f64 c c))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 c c) (*.f64 b (*.f64 b (*.f64 b b)))) c) |
(*.f64 (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)) |
(*.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 c (*.f64 b b))) |
(*.f64 (/.f64 (*.f64 c c) b) (/.f64 c (*.f64 b (*.f64 b b)))) |
(*.f64 (pow.f64 (/.f64 (*.f64 b b) (*.f64 c c)) #s(literal -1 binary64)) (/.f64 c (*.f64 b b))) |
(*.f64 (pow.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 c c)) #s(literal -1 binary64)) (/.f64 c b)) |
(*.f64 (pow.f64 (/.f64 b (*.f64 c c)) #s(literal -1 binary64)) (/.f64 c (*.f64 b (*.f64 b b)))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 b)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)) #s(literal 3/2 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) |
(neg.f64 (*.f64 b (*.f64 b b))) |
(/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (pow.f64 (+.f64 #s(literal 0 binary64) b) #s(literal 3 binary64))) |
(/.f64 (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b b))) (pow.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) #s(literal 3 binary64))) |
(pow.f64 b #s(literal 3 binary64)) |
(pow.f64 (*.f64 b b) #s(literal 3/2 binary64)) |
(pow.f64 (neg.f64 b) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (neg.f64 b) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 b #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (neg.f64 b))) #s(literal 3 binary64)) |
(*.f64 b (*.f64 b b)) |
(*.f64 b (*.f64 b (neg.f64 b))) |
(*.f64 (*.f64 b b) b) |
(*.f64 (*.f64 b b) (neg.f64 b)) |
(*.f64 (*.f64 b (*.f64 b b)) #s(literal -1 binary64)) |
(*.f64 (neg.f64 b) (*.f64 b b)) |
(*.f64 (*.f64 b (neg.f64 b)) b) |
(*.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b))) |
(*.f64 (pow.f64 (neg.f64 b) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 b) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 b (neg.f64 b)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 c (*.f64 b b))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (*.f64 b b) (neg.f64 c))) |
(neg.f64 (/.f64 (*.f64 b (neg.f64 b)) c)) |
(/.f64 (*.f64 b b) c) |
(/.f64 (*.f64 b b) (neg.f64 (neg.f64 c))) |
(/.f64 (*.f64 b (neg.f64 b)) (neg.f64 c)) |
(/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c (*.f64 b b)) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 c (*.f64 b b)))) |
(pow.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 b (/.f64 b c)) |
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) c)) |
(*.f64 (*.f64 b (neg.f64 b)) (/.f64 #s(literal 1 binary64) (neg.f64 c))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) c)) |
(*.f64 (/.f64 b c) b) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 b b)) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal -1 binary64))) |
Compiled 70 855 to 4 907 computations (93.1% saved)
47 alts after pruning (44 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 442 | 34 | 1 476 |
| Fresh | 8 | 10 | 18 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 452 | 47 | 1 499 |
| Status | Accuracy | Program |
|---|---|---|
| 17.5% | (/.f64 (fma.f64 (/.f64 (*.f64 b (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -9 binary64) (*.f64 a (*.f64 a (*.f64 c c))))))) (*.f64 b b)) (/.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal 3 binary64)))))) (neg.f64 (*.f64 b #s(literal 1 binary64)))) (*.f64 #s(literal 3 binary64) a)) | |
| 18.9% | (/.f64 (fma.f64 (/.f64 (*.f64 b (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -9 binary64) (*.f64 a (*.f64 a (*.f64 c c))))))) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal 3 binary64)))))) (/.f64 b (*.f64 b b)) (neg.f64 (*.f64 b #s(literal 1 binary64)))) (*.f64 #s(literal 3 binary64) a)) | |
| 17.3% | (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal 3 binary64))))))) (/.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -9 binary64) (*.f64 a (*.f64 a (*.f64 c c)))))) b) (neg.f64 (*.f64 b #s(literal 1 binary64)))) (*.f64 #s(literal 3 binary64) a)) | |
| 17.4% | (/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -9 binary64) (*.f64 a (*.f64 a (*.f64 c c)))))) (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal 3 binary64))))))) (/.f64 (*.f64 b b) b) (neg.f64 (*.f64 b #s(literal 1 binary64)))) (*.f64 #s(literal 3 binary64) a)) | |
| 18.9% | (/.f64 (fma.f64 (*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -9 binary64) (*.f64 a (*.f64 a (*.f64 c c))))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal 3 binary64))))))) (neg.f64 (*.f64 b #s(literal 1 binary64)))) (*.f64 #s(literal 3 binary64) a)) | |
| 19.1% | (/.f64 (fma.f64 (*.f64 b (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -9 binary64) (*.f64 a (*.f64 a (*.f64 c c))))))) (/.f64 b (*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal 3 binary64))))))) (neg.f64 (*.f64 b #s(literal 1 binary64)))) (*.f64 #s(literal 3 binary64) a)) | |
| 18.4% | (/.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal 3 binary64)))))) b) (*.f64 b b) (*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -9 binary64) (*.f64 a (*.f64 a (*.f64 c c)))))))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) | |
| 17.3% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) b) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 18.0% | (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) |
| 17.6% | (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) | |
| 17.4% | (/.f64 (/.f64 (*.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -9 binary64) (*.f64 a (*.f64 a (*.f64 c c)))))) (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal 3 binary64)))))))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) | |
| 95.7% | (/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 c (fma.f64 c (fma.f64 (*.f64 a a) #s(literal -9/2 binary64) (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 #s(literal 9/8 binary64) (*.f64 a a)))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 b b)))))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) | |
| 94.2% | (/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 c (fma.f64 c (*.f64 (*.f64 a a) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 b b)))))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 95.6% | (/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 a (fma.f64 a (fma.f64 (*.f64 c c) #s(literal -9/2 binary64) (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (*.f64 #s(literal 9/8 binary64) (*.f64 c c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 c (*.f64 b b)))))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) |
| 17.9% | (/.f64 (-.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)) | |
| 18.0% | (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (*.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64))))))))) | |
| 17.7% | (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) (*.f64 a #s(literal 3 binary64))) | |
| ✓ | 17.7% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c)))))) (*.f64 #s(literal 3 binary64) a)) |
| 18.0% | (/.f64 (*.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64))))))))) (*.f64 #s(literal 3 binary64) a)) | |
| 18.0% | (/.f64 (*.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) | |
| 17.7% | (/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) a) | |
| 17.6% | (/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64)) | |
| 90.1% | (/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b b))) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 94.6% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 a (fma.f64 (/.f64 c b) #s(literal -3/2 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9/8 binary64)) (*.f64 b (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)) | |
| 96.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 17.4% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a))) | |
| ▶ | 17.7% | (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64))) |
| 17.6% | (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) | |
| 17.7% | (*.f64 (neg.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) | |
| 97.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 a a) (fma.f64 a (*.f64 (*.f64 c c) (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))))) b)) | |
| 96.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64)))) b)) | |
| 97.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64)) #s(approx (+ (* c -1/2) (+ (* -1/6 (/ (* (pow a 4) (* (pow c 4) 405/64)) (* a (pow b 6)))) (/ (* (* a (* c c)) -3/8) (* b b)))) (*.f64 c (fma.f64 c (fma.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 6 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b)))) #s(literal -1/2 binary64))))) b)) | |
| 95.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) | |
| ▶ | 97.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) b)) |
| 96.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* a a) (* (/ (* c (* c c)) (pow b 4)) -9/16)) (+ (* c -1/2) (+ (* -1/6 (/ (* (pow a 4) (* (pow c 4) 405/64)) (* a (pow b 6)))) (/ (* (* a (* c c)) -3/8) (* b b))))) (*.f64 (pow.f64 c #s(literal 4 binary64)) (fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 6 binary64))) (-.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a a) (*.f64 (pow.f64 b #s(literal 4 binary64)) c)) (/.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 (*.f64 c c) (*.f64 b b)))) (/.f64 #s(literal 1/2 binary64) (*.f64 c (*.f64 c c))))))) b)) | |
| 97.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* a a) (* (/ (* c (* c c)) (pow b 4)) -9/16)) (+ (* c -1/2) (+ (* -1/6 (/ (* (pow a 4) (* (pow c 4) 405/64)) (* a (pow b 6)))) (/ (* (* a (* c c)) -3/8) (* b b))))) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 c (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 6 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b)))) #s(literal -1/2 binary64)))) b)) | |
| 96.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* a a) (* (/ (* c (* c c)) (pow b 4)) -9/16)) (+ (* c -1/2) (+ (* -1/6 (/ (* (pow a 4) (* (pow c 4) 405/64)) (* a (pow b 6)))) (/ (* (* a (* c c)) -3/8) (* b b))))) (*.f64 c (fma.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/2 binary64)))) b)) | |
| 95.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* a a) (* (/ (* c (* c c)) (pow b 4)) -9/16)) (+ (* c -1/2) (+ (* -1/6 (/ (* (pow a 4) (* (pow c 4) 405/64)) (* a (pow b 6)))) (/ (* (* a (* c c)) -3/8) (* b b))))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b)) | |
| 90.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) | |
| ▶ | 90.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c)) |
| 96.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 c (fma.f64 (*.f64 a a) (*.f64 (/.f64 c (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b)))) | |
| ✓ | 94.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))) |
| 94.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c #s(approx (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)) b)))) | |
| 94.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c #s(approx (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) (*.f64 #s(literal -3/8 binary64) (*.f64 c a))) (*.f64 b (*.f64 b b)))))) | |
| 94.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c #s(approx (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b)) (*.f64 (neg.f64 a) (fma.f64 #s(literal 3/8 binary64) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))))))) | |
| ✓ | 90.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
| 94.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))))) |
Compiled 3 179 to 1 704 computations (46.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 a (fma.f64 a (fma.f64 (*.f64 c c) #s(literal -9/2 binary64) (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (*.f64 #s(literal 9/8 binary64) (*.f64 c c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 c (*.f64 b b)))))) | |
| cost-diff | 0 | (/.f64 #s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 a (fma.f64 a (fma.f64 (*.f64 c c) #s(literal -9/2 binary64) (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (*.f64 #s(literal 9/8 binary64) (*.f64 c c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 c (*.f64 b b)))))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) | |
| cost-diff | 384 | (/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 a (fma.f64 a (fma.f64 (*.f64 c c) #s(literal -9/2 binary64) (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (*.f64 #s(literal 9/8 binary64) (*.f64 c c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 c (*.f64 b b)))))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 704 | (fma.f64 (*.f64 c c) #s(literal -9/2 binary64) (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (*.f64 #s(literal 9/8 binary64) (*.f64 c c)))) | |
| cost-diff | 0 | (*.f64 b b) | |
| cost-diff | 0 | (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) | |
| cost-diff | 128 | (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) | |
| cost-diff | 384 | (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) | |
| cost-diff | 0 | (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) a) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) b) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal -1/2 binary64) b) c) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c)) | |
| cost-diff | 320 | (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) | |
| cost-diff | 640 | (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b))))) | |
| cost-diff | 640 | (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) | |
| cost-diff | 704 | (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) |
| 13 906× | lower-fma.f32 |
| 13 892× | lower-fma.f64 |
| 7 592× | lower-*.f32 |
| 7 530× | lower-*.f64 |
| 2 674× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 99 | 1292 |
| 0 | 165 | 1190 |
| 1 | 358 | 1089 |
| 2 | 1145 | 1044 |
| 3 | 5072 | 1026 |
| 4 | 6365 | 1025 |
| 0 | 8580 | 1005 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) b)) |
(/.f64 (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) b) |
(+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) |
#s(literal -1/6 binary64) |
(/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) |
(*.f64 a (*.f64 a (*.f64 a a))) |
a |
(*.f64 a (*.f64 a a)) |
(*.f64 a a) |
(*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))) |
(*.f64 c c) |
c |
(*.f64 (*.f64 c c) #s(literal 405/64 binary64)) |
#s(literal 405/64 binary64) |
(*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a) |
(*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) |
(*.f64 b (*.f64 b b)) |
b |
(*.f64 b b) |
(*.f64 c #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b))))) |
(*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) |
(/.f64 #s(literal -3/8 binary64) (*.f64 b b)) |
#s(literal -3/8 binary64) |
(/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))) |
(*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) |
(*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) |
(*.f64 (*.f64 c c) #s(literal -9/16 binary64)) |
#s(literal -9/16 binary64) |
(*.f64 b (*.f64 b (*.f64 b b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c) |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
b |
c |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64))) |
(/.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
a |
(*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) |
(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) |
#s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64))))) |
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
b |
(*.f64 c (*.f64 a #s(literal -3 binary64))) |
c |
(*.f64 a #s(literal -3 binary64)) |
#s(literal -3 binary64) |
#s(literal 1/3 binary64) |
(/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) |
(-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) |
(*.f64 b b) |
b |
#s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64))))) |
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
(*.f64 c (*.f64 a #s(literal -3 binary64))) |
c |
(*.f64 a #s(literal -3 binary64)) |
a |
#s(literal -3 binary64) |
(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64))))))) |
(neg.f64 b) |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 a (fma.f64 a (fma.f64 (*.f64 c c) #s(literal -9/2 binary64) (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (*.f64 #s(literal 9/8 binary64) (*.f64 c c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 c (*.f64 b b)))))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 a (fma.f64 a (fma.f64 (*.f64 c c) #s(literal -9/2 binary64) (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (*.f64 #s(literal 9/8 binary64) (*.f64 c c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 c (*.f64 b b)))))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) |
#s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 a (fma.f64 a (fma.f64 (*.f64 c c) #s(literal -9/2 binary64) (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (*.f64 #s(literal 9/8 binary64) (*.f64 c c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 c (*.f64 b b)))))) |
(*.f64 a (fma.f64 a (fma.f64 (*.f64 c c) #s(literal -9/2 binary64) (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (*.f64 #s(literal 9/8 binary64) (*.f64 c c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 c (*.f64 b b))))) |
a |
(fma.f64 a (fma.f64 (*.f64 c c) #s(literal -9/2 binary64) (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (*.f64 #s(literal 9/8 binary64) (*.f64 c c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 c (*.f64 b b)))) |
(fma.f64 (*.f64 c c) #s(literal -9/2 binary64) (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (*.f64 #s(literal 9/8 binary64) (*.f64 c c)))) |
(*.f64 c c) |
c |
#s(literal -9/2 binary64) |
(fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (*.f64 #s(literal 9/8 binary64) (*.f64 c c))) |
#s(literal -27/16 binary64) |
(/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) |
(*.f64 a (*.f64 c (*.f64 c c))) |
(*.f64 c (*.f64 c c)) |
(*.f64 b b) |
b |
(*.f64 #s(literal 9/8 binary64) (*.f64 c c)) |
#s(literal 9/8 binary64) |
(*.f64 #s(literal -3/2 binary64) (*.f64 c (*.f64 b b))) |
#s(literal -3/2 binary64) |
(*.f64 c (*.f64 b b)) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b)) |
(sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) |
(fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)) |
#s(literal 3 binary64) |
(*.f64 a c) |
(*.f64 #s(literal 3 binary64) a) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 a (/.f64 a (*.f64 b b))) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 c (*.f64 c (*.f64 c c)))) a) (*.f64 c (*.f64 c (*.f64 c #s(literal -9/16 binary64))))) (*.f64 c (fma.f64 c (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) #s(literal -1/2 binary64)))) b)) |
(/.f64 (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) b) |
(/.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 a (/.f64 a (*.f64 b b))) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 c (*.f64 c (*.f64 c c)))) a) (*.f64 c (*.f64 c (*.f64 c #s(literal -9/16 binary64))))) (*.f64 c (fma.f64 c (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) #s(literal -1/2 binary64)))) b) |
(+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(fma.f64 (/.f64 (*.f64 a a) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 a (/.f64 a (*.f64 b b))) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 c (*.f64 c (*.f64 c c)))) a) (*.f64 c (*.f64 c (*.f64 c #s(literal -9/16 binary64))))) (*.f64 c (fma.f64 c (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) #s(literal -1/2 binary64)))) |
(fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 c (*.f64 c (*.f64 c c)))) (/.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 c #s(literal -1/2 binary64))) |
#s(literal -1/6 binary64) |
(/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) |
(/.f64 (*.f64 (*.f64 a a) (*.f64 c (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal 405/64 binary64))) a))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) |
(*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 c c) #s(literal 405/64 binary64)) (*.f64 a (*.f64 a (*.f64 c c))))) |
(*.f64 a (*.f64 a (*.f64 a a))) |
a |
(*.f64 a (*.f64 a a)) |
(*.f64 a a) |
(*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))) |
(*.f64 c (*.f64 c (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) |
(*.f64 c c) |
c |
(*.f64 (*.f64 c c) #s(literal 405/64 binary64)) |
#s(literal 405/64 binary64) |
(*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a) |
(*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b (*.f64 b a))))) |
(*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) |
(*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) |
(*.f64 b (*.f64 b b)) |
b |
(*.f64 b b) |
(*.f64 c #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b))))) |
(*.f64 (*.f64 c c) (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))))) |
(*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) |
(/.f64 #s(literal -3/8 binary64) (*.f64 b b)) |
#s(literal -3/8 binary64) |
(/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))) |
(/.f64 (*.f64 c (*.f64 c (*.f64 #s(literal -9/16 binary64) (*.f64 a (*.f64 a c))))) (*.f64 b (*.f64 b (*.f64 b b)))) |
(*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) |
(*.f64 c (*.f64 c (*.f64 #s(literal -9/16 binary64) (*.f64 a (*.f64 a c))))) |
(*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) |
(*.f64 c (*.f64 c (*.f64 c #s(literal -9/16 binary64)))) |
(*.f64 (*.f64 c c) #s(literal -9/16 binary64)) |
(*.f64 c (*.f64 c #s(literal -9/16 binary64))) |
#s(literal -9/16 binary64) |
(*.f64 b (*.f64 b (*.f64 b b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
b |
c |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64))) |
(*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) b) (/.f64 #s(literal 1/3 binary64) a)) |
(/.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
a |
(*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) |
(*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) b) #s(literal 1/3 binary64)) |
(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) |
(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) b) |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) |
#s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64))))) |
#s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) |
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) |
b |
(*.f64 c (*.f64 a #s(literal -3 binary64))) |
(*.f64 a (*.f64 c #s(literal -3 binary64))) |
c |
(*.f64 a #s(literal -3 binary64)) |
#s(literal -3 binary64) |
#s(literal 1/3 binary64) |
(/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (*.f64 a #s(literal -3 binary64)) (+.f64 b (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))))) |
(/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) |
(/.f64 (-.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) (*.f64 b b)) (+.f64 b (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))) |
(-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) |
(-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) |
(*.f64 b b) |
b |
#s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64))))) |
#s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) |
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) |
(*.f64 c (*.f64 a #s(literal -3 binary64))) |
(*.f64 a (*.f64 c #s(literal -3 binary64))) |
c |
(*.f64 a #s(literal -3 binary64)) |
a |
#s(literal -3 binary64) |
(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64))))))) |
(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) |
(neg.f64 b) |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 a (fma.f64 a (fma.f64 (*.f64 c c) #s(literal -9/2 binary64) (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (*.f64 #s(literal 9/8 binary64) (*.f64 c c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 c (*.f64 b b)))))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 a (fma.f64 (*.f64 a a) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 c (*.f64 c c))) (*.f64 b b)) (*.f64 c (fma.f64 a (*.f64 c #s(literal -27/8 binary64)) (*.f64 (*.f64 b b) #s(literal -3/2 binary64))))))) (*.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)))))) |
(/.f64 #s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 a (fma.f64 a (fma.f64 (*.f64 c c) #s(literal -9/2 binary64) (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (*.f64 #s(literal 9/8 binary64) (*.f64 c c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 c (*.f64 b b)))))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) |
(/.f64 #s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 a (fma.f64 (*.f64 a a) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 c (*.f64 c c))) (*.f64 b b)) (*.f64 c (fma.f64 a (*.f64 c #s(literal -27/8 binary64)) (*.f64 (*.f64 b b) #s(literal -3/2 binary64))))))) (*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))))) |
#s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 a (fma.f64 a (fma.f64 (*.f64 c c) #s(literal -9/2 binary64) (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (*.f64 #s(literal 9/8 binary64) (*.f64 c c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 c (*.f64 b b)))))) |
#s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 a (fma.f64 (*.f64 a a) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 c (*.f64 c c))) (*.f64 b b)) (*.f64 c (fma.f64 a (*.f64 c #s(literal -27/8 binary64)) (*.f64 (*.f64 b b) #s(literal -3/2 binary64))))))) |
(*.f64 a (fma.f64 a (fma.f64 (*.f64 c c) #s(literal -9/2 binary64) (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (*.f64 #s(literal 9/8 binary64) (*.f64 c c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 c (*.f64 b b))))) |
(*.f64 a (fma.f64 (*.f64 a a) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 c (*.f64 c c))) (*.f64 b b)) (*.f64 c (fma.f64 a (*.f64 c #s(literal -27/8 binary64)) (*.f64 (*.f64 b b) #s(literal -3/2 binary64)))))) |
a |
(fma.f64 a (fma.f64 (*.f64 c c) #s(literal -9/2 binary64) (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (*.f64 #s(literal 9/8 binary64) (*.f64 c c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 c (*.f64 b b)))) |
(fma.f64 (*.f64 a a) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 c (*.f64 c c))) (*.f64 b b)) (*.f64 c (fma.f64 a (*.f64 c #s(literal -27/8 binary64)) (*.f64 (*.f64 b b) #s(literal -3/2 binary64))))) |
(fma.f64 (*.f64 c c) #s(literal -9/2 binary64) (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (*.f64 #s(literal 9/8 binary64) (*.f64 c c)))) |
(fma.f64 a (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 c (*.f64 c c))) (*.f64 b b)) (*.f64 (*.f64 c c) #s(literal -27/8 binary64))) |
(*.f64 c c) |
c |
#s(literal -9/2 binary64) |
(fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (*.f64 #s(literal 9/8 binary64) (*.f64 c c))) |
(fma.f64 a (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 c (*.f64 c c))) (*.f64 b b)) (*.f64 c (*.f64 c #s(literal 9/8 binary64)))) |
#s(literal -27/16 binary64) |
(/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) |
(*.f64 a (*.f64 c (*.f64 c c))) |
(*.f64 c (*.f64 c c)) |
(*.f64 b b) |
b |
(*.f64 #s(literal 9/8 binary64) (*.f64 c c)) |
(*.f64 c (*.f64 c #s(literal 9/8 binary64))) |
#s(literal 9/8 binary64) |
(*.f64 #s(literal -3/2 binary64) (*.f64 c (*.f64 b b))) |
(*.f64 b (*.f64 b (*.f64 c #s(literal -3/2 binary64)))) |
#s(literal -3/2 binary64) |
(*.f64 c (*.f64 b b)) |
(*.f64 b (*.f64 b c)) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b)) |
(*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)))) |
(sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) |
(fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)) |
#s(literal 3 binary64) |
(*.f64 a c) |
(*.f64 #s(literal 3 binary64) a) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.31640625 | (/.f64 #s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 a (fma.f64 a (fma.f64 (*.f64 c c) #s(literal -9/2 binary64) (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (*.f64 #s(literal 9/8 binary64) (*.f64 c c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 c (*.f64 b b)))))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) | |
| accuracy | 0.33041000976844204 | (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) | |
| accuracy | 0.3828125 | (/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 a (fma.f64 a (fma.f64 (*.f64 c c) #s(literal -9/2 binary64) (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (*.f64 #s(literal 9/8 binary64) (*.f64 c c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 c (*.f64 b b)))))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 2.2358791376450196 | #s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 a (fma.f64 a (fma.f64 (*.f64 c c) #s(literal -9/2 binary64) (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (*.f64 #s(literal 9/8 binary64) (*.f64 c c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 c (*.f64 b b)))))) | |
| accuracy | 0.25390625 | (*.f64 c (*.f64 a #s(literal -3 binary64))) | |
| accuracy | 0.2890625 | (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) | |
| accuracy | 0.3828125 | (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 52.535768564335946 | (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) | |
| accuracy | 0.25390625 | (*.f64 c (*.f64 a #s(literal -3 binary64))) | |
| accuracy | 0.37890625 | (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) | |
| accuracy | 0.38900375976844204 | (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64))) | |
| accuracy | 52.67049415646412 | (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) | |
| accuracy | 0 | (/.f64 #s(literal -1/2 binary64) b) | |
| accuracy | 0.29296875 | (*.f64 (/.f64 #s(literal -1/2 binary64) b) c) | |
| accuracy | 5.989535083613955 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c)) | |
| accuracy | 0.37890625 | (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b))))) | |
| accuracy | 0.38119125976844204 | (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) | |
| accuracy | 0.49351503907376815 | (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) | |
| accuracy | 1.5668852527100223 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) b)) |
| 280.0ms | 211× | 1 | valid |
| 26.0ms | 45× | 0 | valid |
Compiled 1 021 to 93 computations (90.9% saved)
ival-mult: 114.0ms (49.6% of total)ival-div: 35.0ms (15.2% of total)adjust: 21.0ms (9.1% of total)ival-sqrt: 19.0ms (8.3% of total)ival-add: 18.0ms (7.8% of total)ival-sub: 11.0ms (4.8% of total)const: 8.0ms (3.5% of total)exact: 1.0ms (0.4% of total)ival-neg: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) (patch (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (patch (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b))))) (patch (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (patch (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) b) c) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) b) c) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1/2 binary64) b) (patch (/.f64 #s(literal -1/2 binary64) b) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) a) (patch (/.f64 #s(literal 1 binary64) a) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) (patch (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (patch (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (patch (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 c c) #s(literal -9/2 binary64) (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (*.f64 #s(literal 9/8 binary64) (*.f64 c c)))) (patch (fma.f64 (*.f64 c c) #s(literal -9/2 binary64) (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (*.f64 #s(literal 9/8 binary64) (*.f64 c c)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 a (fma.f64 a (fma.f64 (*.f64 c c) #s(literal -9/2 binary64) (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (*.f64 #s(literal 9/8 binary64) (*.f64 c c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 c (*.f64 b b)))))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 a (fma.f64 a (fma.f64 (*.f64 c c) #s(literal -9/2 binary64) (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (*.f64 #s(literal 9/8 binary64) (*.f64 c c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 c (*.f64 b b)))))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 a (fma.f64 a (fma.f64 (*.f64 c c) #s(literal -9/2 binary64) (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (*.f64 #s(literal 9/8 binary64) (*.f64 c c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 c (*.f64 b b)))))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (patch (/.f64 #s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 a (fma.f64 a (fma.f64 (*.f64 c c) #s(literal -9/2 binary64) (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (*.f64 #s(literal 9/8 binary64) (*.f64 c c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 c (*.f64 b b)))))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 a (fma.f64 a (fma.f64 (*.f64 c c) #s(literal -9/2 binary64) (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (*.f64 #s(literal 9/8 binary64) (*.f64 c c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 c (*.f64 b b)))))) (patch #s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 a (fma.f64 a (fma.f64 (*.f64 c c) #s(literal -9/2 binary64) (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (*.f64 #s(literal 9/8 binary64) (*.f64 c c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 c (*.f64 b b)))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) b)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (patch (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (patch (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) #<representation binary64>) () ()) |
#s(alt (*.f64 c (*.f64 a #s(literal -3 binary64))) (patch (*.f64 c (*.f64 a #s(literal -3 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (patch (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1/2 c) (taylor 0 a) (#s(alt (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) (patch (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) (taylor 0 a) (#s(alt (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) (patch (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 c) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 4))) (* -3/8 (/ (pow c 2) (pow b 2)))))) (taylor 0 a) (#s(alt (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) (patch (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 c) (* a (+ (* -3/8 (/ (pow c 2) (pow b 2))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 6))) (* -9/16 (/ (pow c 3) (pow b 4)))))))) (taylor 0 a) (#s(alt (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) (patch (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) #<representation binary64>) () ())) ()) |
#s(alt (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (taylor inf a) (#s(alt (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) (patch (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (* -9/16 (/ (pow c 3) (* a (pow b 4)))))) (taylor inf a) (#s(alt (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) (patch (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 4)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 2))))))) (taylor inf a) (#s(alt (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) (patch (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 4)))) (+ (* -1/2 (/ c (pow a 3))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 2)))))))) (taylor inf a) (#s(alt (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) (patch (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) #<representation binary64>) () ())) ()) |
#s(alt (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (taylor -inf a) (#s(alt (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) (patch (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow a 3) (+ (* 9/16 (/ (pow c 3) (* a (pow b 4)))) (* 135/128 (/ (pow c 4) (pow b 6)))))) (taylor -inf a) (#s(alt (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) (patch (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -3/8 (/ (pow c 2) (* a (pow b 2))))) a)) (* 135/128 (/ (pow c 4) (pow b 6)))))) (taylor -inf a) (#s(alt (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) (patch (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))) a)) (* -9/16 (/ (pow c 3) (pow b 4)))) a)) (* 135/128 (/ (pow c 4) (pow b 6)))))) (taylor -inf a) (#s(alt (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) (patch (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 c) (taylor 0 c) (#s(alt (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) (patch (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) (taylor 0 c) (#s(alt (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) (patch (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))) 1/2)) (taylor 0 c) (#s(alt (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) (patch (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -3/8 (/ a (pow b 2))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4))))))) 1/2)) (taylor 0 c) (#s(alt (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) (patch (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) #<representation binary64>) () ())) ()) |
#s(alt (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (taylor inf c) (#s(alt (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) (patch (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -9/16 (/ (pow a 2) (* (pow b 4) c))))) (taylor inf c) (#s(alt (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) (patch (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (+ (* -9/16 (/ (pow a 2) (* (pow b 4) c))) (* -3/8 (/ a (* (pow b 2) (pow c 2))))))) (taylor inf c) (#s(alt (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) (patch (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 6))) (+ (* -9/16 (/ (pow a 2) (* (pow b 4) c))) (* -3/8 (/ a (* (pow b 2) (pow c 2)))))) (* 1/2 (/ 1 (pow c 3))))) (taylor inf c) (#s(alt (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) (patch (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) #<representation binary64>) () ())) ()) |
#s(alt (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (taylor -inf c) (#s(alt (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) (patch (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -1 (/ (+ (* 3/8 (/ a (* (pow b 2) c))) (* 9/16 (/ (pow a 2) (pow b 4)))) c)))) (taylor -inf c) (#s(alt (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) (patch (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))))) (pow b 6)) (taylor 0 b) (#s(alt (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) (patch (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))))) (pow b 6)) (taylor 0 b) (#s(alt (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) (patch (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))) (taylor inf b) (#s(alt (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) (patch (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) #<representation binary64>) () ())) ()) |
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#s(alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) (taylor inf c) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) (taylor inf c) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) (taylor inf c) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) (taylor -inf c) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) (taylor -inf c) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (/ 1 a) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) a) (patch (/.f64 #s(literal 1 binary64) a) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 a) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) a) (patch (/.f64 #s(literal 1 binary64) a) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 a) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) a) (patch (/.f64 #s(literal 1 binary64) a) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 a) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) a) (patch (/.f64 #s(literal 1 binary64) a) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 a) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) a) (patch (/.f64 #s(literal 1 binary64) a) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 a) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) a) (patch (/.f64 #s(literal 1 binary64) a) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 a) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) a) (patch (/.f64 #s(literal 1 binary64) a) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 a) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) a) (patch (/.f64 #s(literal 1 binary64) a) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 a) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) a) (patch (/.f64 #s(literal 1 binary64) a) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 a) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) a) (patch (/.f64 #s(literal 1 binary64) a) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 a) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) a) (patch (/.f64 #s(literal 1 binary64) a) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3)))) (taylor 0 b) (#s(alt (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3))) (taylor 0 b) (#s(alt (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3))) (taylor 0 b) (#s(alt (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ (* a c) b)) (taylor inf b) (#s(alt (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) (taylor inf b) (#s(alt (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -2/3 b) (taylor -inf b) (#s(alt (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))))) (taylor -inf b) (#s(alt (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor -inf b) (#s(alt (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) (taylor -inf b) (#s(alt (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))) (taylor 0 a) (#s(alt (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))) (taylor 0 a) (#s(alt (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (taylor inf a) (#s(alt (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) (taylor inf a) (#s(alt (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) (taylor inf a) (#s(alt (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) (taylor inf a) (#s(alt (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a))))) (taylor -inf a) (#s(alt (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) (taylor -inf a) (#s(alt (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) (taylor -inf a) (#s(alt (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ (* a c) b)) (taylor 0 c) (#s(alt (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3))))))) (taylor 0 c) (#s(alt (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -9/16 (/ (pow a 3) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) (taylor 0 c) (#s(alt (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (taylor inf c) (#s(alt (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))) (taylor inf c) (#s(alt (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))) (taylor inf c) (#s(alt (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))) (taylor inf c) (#s(alt (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) (taylor -inf c) (#s(alt (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c))))) (taylor -inf c) (#s(alt (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) (taylor -inf c) (#s(alt (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) (taylor -inf c) (#s(alt (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor 0 b) (#s(alt (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) (patch (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#s(alt (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) (patch (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #<representation binary64>) () ())) ()) |
#s(alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#s(alt (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) (patch (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #<representation binary64>) () ())) ()) |
#s(alt (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#s(alt (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) (patch (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -3/2 (/ (* a c) b)) (taylor inf b) (#s(alt (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) (patch (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) (patch (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) (patch (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) (taylor inf b) (#s(alt (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) (patch (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -2 b) (taylor -inf b) (#s(alt (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) (patch (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) (taylor -inf b) (#s(alt (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) (patch (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor -inf b) (#s(alt (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) (patch (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) (taylor -inf b) (#s(alt (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) (patch (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -3/2 (/ (* a c) b)) (taylor 0 a) (#s(alt (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) (patch (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) (taylor 0 a) (#s(alt (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) (patch (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) (taylor 0 a) (#s(alt (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) (patch (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) (taylor 0 a) (#s(alt (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) (patch (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf a) (#s(alt (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) (patch (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) (taylor inf a) (#s(alt (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) (patch (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) (taylor inf a) (#s(alt (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) (patch (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) (taylor inf a) (#s(alt (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) (patch (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) (patch (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) (taylor -inf a) (#s(alt (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) (patch (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf a) (#s(alt (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) (patch (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf a) (#s(alt (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) (patch (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -3/2 (/ (* a c) b)) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) (patch (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) (patch (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) (patch (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) (patch (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) (patch (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) (patch (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) (patch (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) (patch (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) (taylor -inf c) (#s(alt (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) (patch (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) (taylor -inf c) (#s(alt (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) (patch (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf c) (#s(alt (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) (patch (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf c) (#s(alt (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) (patch (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (taylor 0 b) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2)))) (taylor 0 b) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))))) (/ 1 (* a (pow (sqrt -3) 2)))))) (taylor 0 b) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3))))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* a (pow (sqrt -3) 2)))))) (taylor 0 b) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor inf b) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -27/32 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -27/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))))))) b) (taylor inf b) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -2/3 (/ b a)) (taylor -inf b) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) (taylor -inf b) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (- (+ (* -1 (/ (+ (* -3/8 (* a (pow c 2))) (* 3/4 (* a (pow c 2)))) (pow b 4))) (* 2/3 (/ 1 a))) (* 1/2 (/ c (pow b 2)))))) (taylor -inf b) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -3/8 (* a (pow c 2))) (* 3/4 (* a (pow c 2))))))) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* 2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (* 2/3 (/ 1 a))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 1/2 (/ c (pow b 2))) (* 3/4 (/ (* a (pow c 2)) (pow b 4)))))))) (taylor -inf b) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor 0 a) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) (taylor 0 a) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* a (+ (* -27/32 (/ (pow c 4) (pow b 7))) (* -27/128 (/ (pow c 4) (pow b 7)))))))))) (taylor 0 a) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (taylor inf a) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2))) a) (taylor inf a) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))) a) (taylor inf a) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (+ (* -1/2 (/ (pow b 3) (* a (* c (pow (sqrt -3) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))))) a) (taylor inf a) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) (taylor -inf a) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (/ b (pow (sqrt 3) 2))) a)) (taylor -inf a) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) a)) (taylor -inf a) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a))) a))) a)) (taylor -inf a) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* c (+ (* -27/32 (/ (pow a 3) (pow b 7))) (* -27/128 (/ (pow a 3) (pow b 7))))))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (taylor inf c) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2)))) (taylor inf c) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (pow c 2)))) (* -1 (/ b (* a (pow (sqrt -3) 2))))) (taylor inf c) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (sqrt -3)))) (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4))))) (pow c 3)))) (+ (* -1 (/ b (* a (pow (sqrt -3) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (taylor inf c) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) (taylor -inf c) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ b (* a (pow (sqrt 3) 2)))) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) (taylor -inf c) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* 3 (/ b (pow (sqrt -3) 2)))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (patch (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) #<representation binary64>) () ())) ()) |
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#s(alt (* -3/2 (/ (* a c) b)) (taylor inf b) (#s(alt (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (patch (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (patch (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3 (/ (+ (* -27/32 (* (pow a 4) (pow c 4))) (* -27/128 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) (taylor inf b) (#s(alt (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (patch (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 b) (taylor -inf b) (#s(alt (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (patch (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* b (+ 2 (+ (* -3 (/ (+ (* -3/4 (* a (* c (+ (* -3/8 (* (pow a 2) (pow c 2))) (* 3/4 (* (pow a 2) (pow c 2))))))) (+ (* -9/16 (* (pow a 3) (pow c 3))) (* 2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a c))))) (pow b 6))) (+ (* -3 (/ (+ (* -3/8 (* (pow a 2) (pow c 2))) (* 3/4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* -3/2 (/ (* a c) (pow b 2)))))))) (taylor -inf b) (#s(alt (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (patch (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/2 (/ (* a c) b)) (taylor 0 a) (#s(alt (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (patch (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) (taylor 0 a) (#s(alt (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (patch (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) (taylor 0 a) (#s(alt (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (patch (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* 3 (* a (+ (* -27/32 (/ (pow c 4) (pow b 7))) (* -27/128 (/ (pow c 4) (pow b 7)))))))))))) (taylor 0 a) (#s(alt (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (patch (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* 3 (/ b (pow (sqrt -3) 2)))) (taylor inf a) (#s(alt (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (patch (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -3 (/ b (pow (sqrt 3) 2))) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (patch (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) #<representation binary64>) () ())) ()) |
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#s(alt (* -3/2 (/ (* a c) b)) (taylor 0 c) (#s(alt (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (patch (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (patch (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (patch (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* 3 (* c (+ (* -27/32 (/ (pow a 4) (pow b 7))) (* -27/128 (/ (pow a 4) (pow b 7)))))))))))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (patch (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (taylor inf c) (#s(alt (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (patch (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* 3 (/ b (pow (sqrt -3) 2)))) (taylor inf c) (#s(alt (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (patch (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* 3 (/ b (pow (sqrt -3) 2))) (* 3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (patch (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* 3 (/ b (pow (sqrt -3) 2))) (+ (* 3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -3) 4))))) (pow c 3))) (* 3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2)))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (patch (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (taylor -inf c) (#s(alt (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (patch (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -3 (/ b (pow (sqrt 3) 2))) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) (taylor -inf c) (#s(alt (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (patch (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) #<representation binary64>) () ())) ()) |
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#s(alt (* 3 (* a c)) (taylor 0 b) (#s(alt (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (patch (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor 0 b) (#s(alt (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (patch (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor 0 b) (#s(alt (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (patch (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor 0 b) (#s(alt (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (patch (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor inf b) (#s(alt (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (patch (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) #<representation binary64>) () ())) ()) |
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#s(alt (* -9/16 (* (pow a 2) (pow c 3))) (taylor -inf a) (#s(alt (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (patch (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* -9/16 (* (pow a 2) (pow c 3))) (taylor -inf a) (#s(alt (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (patch (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* a c)) (taylor 0 c) (#s(alt (*.f64 c (*.f64 a #s(literal -3 binary64))) (patch (*.f64 c (*.f64 a #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* a c)) (taylor 0 c) (#s(alt (*.f64 c (*.f64 a #s(literal -3 binary64))) (patch (*.f64 c (*.f64 a #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* a c)) (taylor 0 c) (#s(alt (*.f64 c (*.f64 a #s(literal -3 binary64))) (patch (*.f64 c (*.f64 a #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* a c)) (taylor 0 c) (#s(alt (*.f64 c (*.f64 a #s(literal -3 binary64))) (patch (*.f64 c (*.f64 a #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* a c)) (taylor inf c) (#s(alt (*.f64 c (*.f64 a #s(literal -3 binary64))) (patch (*.f64 c (*.f64 a #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* a c)) (taylor inf c) (#s(alt (*.f64 c (*.f64 a #s(literal -3 binary64))) (patch (*.f64 c (*.f64 a #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* a c)) (taylor inf c) (#s(alt (*.f64 c (*.f64 a #s(literal -3 binary64))) (patch (*.f64 c (*.f64 a #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* a c)) (taylor inf c) (#s(alt (*.f64 c (*.f64 a #s(literal -3 binary64))) (patch (*.f64 c (*.f64 a #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* a c)) (taylor -inf c) (#s(alt (*.f64 c (*.f64 a #s(literal -3 binary64))) (patch (*.f64 c (*.f64 a #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* a c)) (taylor -inf c) (#s(alt (*.f64 c (*.f64 a #s(literal -3 binary64))) (patch (*.f64 c (*.f64 a #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* a c)) (taylor -inf c) (#s(alt (*.f64 c (*.f64 a #s(literal -3 binary64))) (patch (*.f64 c (*.f64 a #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* a c)) (taylor -inf c) (#s(alt (*.f64 c (*.f64 a #s(literal -3 binary64))) (patch (*.f64 c (*.f64 a #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* a c)) (taylor 0 a) (#s(alt (*.f64 c (*.f64 a #s(literal -3 binary64))) (patch (*.f64 c (*.f64 a #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* a c)) (taylor 0 a) (#s(alt (*.f64 c (*.f64 a #s(literal -3 binary64))) (patch (*.f64 c (*.f64 a #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* a c)) (taylor 0 a) (#s(alt (*.f64 c (*.f64 a #s(literal -3 binary64))) (patch (*.f64 c (*.f64 a #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* a c)) (taylor 0 a) (#s(alt (*.f64 c (*.f64 a #s(literal -3 binary64))) (patch (*.f64 c (*.f64 a #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* a c)) (taylor inf a) (#s(alt (*.f64 c (*.f64 a #s(literal -3 binary64))) (patch (*.f64 c (*.f64 a #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* a c)) (taylor inf a) (#s(alt (*.f64 c (*.f64 a #s(literal -3 binary64))) (patch (*.f64 c (*.f64 a #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* a c)) (taylor inf a) (#s(alt (*.f64 c (*.f64 a #s(literal -3 binary64))) (patch (*.f64 c (*.f64 a #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* a c)) (taylor inf a) (#s(alt (*.f64 c (*.f64 a #s(literal -3 binary64))) (patch (*.f64 c (*.f64 a #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* a c)) (taylor -inf a) (#s(alt (*.f64 c (*.f64 a #s(literal -3 binary64))) (patch (*.f64 c (*.f64 a #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* a c)) (taylor -inf a) (#s(alt (*.f64 c (*.f64 a #s(literal -3 binary64))) (patch (*.f64 c (*.f64 a #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* a c)) (taylor -inf a) (#s(alt (*.f64 c (*.f64 a #s(literal -3 binary64))) (patch (*.f64 c (*.f64 a #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* a c)) (taylor -inf a) (#s(alt (*.f64 c (*.f64 a #s(literal -3 binary64))) (patch (*.f64 c (*.f64 a #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a (pow c 3)) (pow b 2)) (taylor 0 a) (#s(alt (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (patch (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a (pow c 3)) (pow b 2)) (taylor 0 a) (#s(alt (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (patch (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a (pow c 3)) (pow b 2)) (taylor 0 a) (#s(alt (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (patch (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a (pow c 3)) (pow b 2)) (taylor 0 a) (#s(alt (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (patch (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a (pow c 3)) (pow b 2)) (taylor inf a) (#s(alt (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (patch (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a (pow c 3)) (pow b 2)) (taylor inf a) (#s(alt (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (patch (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a (pow c 3)) (pow b 2)) (taylor inf a) (#s(alt (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (patch (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a (pow c 3)) (pow b 2)) (taylor inf a) (#s(alt (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (patch (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a (pow c 3)) (pow b 2)) (taylor -inf a) (#s(alt (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (patch (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a (pow c 3)) (pow b 2)) (taylor -inf a) (#s(alt (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (patch (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a (pow c 3)) (pow b 2)) (taylor -inf a) (#s(alt (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (patch (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a (pow c 3)) (pow b 2)) (taylor -inf a) (#s(alt (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (patch (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a (pow c 3)) (pow b 2)) (taylor 0 c) (#s(alt (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (patch (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a (pow c 3)) (pow b 2)) (taylor 0 c) (#s(alt (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (patch (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a (pow c 3)) (pow b 2)) (taylor 0 c) (#s(alt (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (patch (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a (pow c 3)) (pow b 2)) (taylor 0 c) (#s(alt (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (patch (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a (pow c 3)) (pow b 2)) (taylor inf c) (#s(alt (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (patch (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a (pow c 3)) (pow b 2)) (taylor inf c) (#s(alt (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (patch (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a (pow c 3)) (pow b 2)) (taylor inf c) (#s(alt (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (patch (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a (pow c 3)) (pow b 2)) (taylor inf c) (#s(alt (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (patch (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a (pow c 3)) (pow b 2)) (taylor -inf c) (#s(alt (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (patch (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a (pow c 3)) (pow b 2)) (taylor -inf c) (#s(alt (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (patch (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a (pow c 3)) (pow b 2)) (taylor -inf c) (#s(alt (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (patch (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a (pow c 3)) (pow b 2)) (taylor -inf c) (#s(alt (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (patch (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a (pow c 3)) (pow b 2)) (taylor 0 b) (#s(alt (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (patch (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a (pow c 3)) (pow b 2)) (taylor 0 b) (#s(alt (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (patch (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a (pow c 3)) (pow b 2)) (taylor 0 b) (#s(alt (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (patch (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a (pow c 3)) (pow b 2)) (taylor 0 b) (#s(alt (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (patch (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a (pow c 3)) (pow b 2)) (taylor inf b) (#s(alt (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (patch (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a (pow c 3)) (pow b 2)) (taylor inf b) (#s(alt (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (patch (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a (pow c 3)) (pow b 2)) (taylor inf b) (#s(alt (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (patch (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a (pow c 3)) (pow b 2)) (taylor inf b) (#s(alt (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (patch (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a (pow c 3)) (pow b 2)) (taylor -inf b) (#s(alt (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (patch (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a (pow c 3)) (pow b 2)) (taylor -inf b) (#s(alt (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (patch (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a (pow c 3)) (pow b 2)) (taylor -inf b) (#s(alt (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (patch (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a (pow c 3)) (pow b 2)) (taylor -inf b) (#s(alt (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (patch (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
183 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | c | @ | inf | (+ (* (* c c) -9/2) (+ (* -27/16 (/ (* a (* c (* c c))) (* b b))) (* 9/8 (* c c)))) |
| 2.0ms | a | @ | -inf | (/ (/ (- (* b b) (- (* b b) (* (* 3 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 3 a) c))))) (* 3 a)) |
| 1.0ms | a | @ | inf | (/ (/ (- (* b b) (- (* b b) (* (* 3 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 3 a) c))))) (* 3 a)) |
| 1.0ms | c | @ | -inf | (/ (- (* b b) (- (* b b) (* (* 3 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 3 a) c))))) |
| 1.0ms | c | @ | inf | (/ (- (* b b) (- (* b b) (* (* 3 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 3 a) c))))) |
| 1× | egg-herbie |
| 6 646× | lower-*.f64 |
| 6 646× | lower-*.f32 |
| 4 922× | lower-fma.f64 |
| 4 922× | lower-fma.f32 |
| 4 410× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2273 | 21719 |
| 1 | 6360 | 21429 |
| 0 | 8088 | 20720 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -1/2 c) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 4))) (* -3/8 (/ (pow c 2) (pow b 2)))))) |
(+ (* -1/2 c) (* a (+ (* -3/8 (/ (pow c 2) (pow b 2))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 6))) (* -9/16 (/ (pow c 3) (pow b 4)))))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (* -9/16 (/ (pow c 3) (* a (pow b 4)))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 4)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 2))))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 4)))) (+ (* -1/2 (/ c (pow a 3))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 2)))))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -1 (* (pow a 3) (+ (* 9/16 (/ (pow c 3) (* a (pow b 4)))) (* 135/128 (/ (pow c 4) (pow b 6)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -3/8 (/ (pow c 2) (* a (pow b 2))))) a)) (* 135/128 (/ (pow c 4) (pow b 6)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))) a)) (* -9/16 (/ (pow c 3) (pow b 4)))) a)) (* 135/128 (/ (pow c 4) (pow b 6)))))) |
(* -1/2 c) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))) 1/2)) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 2))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4))))))) 1/2)) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -9/16 (/ (pow a 2) (* (pow b 4) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (+ (* -9/16 (/ (pow a 2) (* (pow b 4) c))) (* -3/8 (/ a (* (pow b 2) (pow c 2))))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 6))) (+ (* -9/16 (/ (pow a 2) (* (pow b 4) c))) (* -3/8 (/ a (* (pow b 2) (pow c 2)))))) (* 1/2 (/ 1 (pow c 3))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -9/16 (/ (pow a 2) (* (pow b 4) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -1 (/ (+ (* 3/8 (/ a (* (pow b 2) c))) (* 9/16 (/ (pow a 2) (pow b 4)))) c)))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -1 (/ (+ (* -1 (/ (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))) c)) (* 9/16 (/ (pow a 2) (pow b 4)))) c)))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -9/16 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 6)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))))) (pow b 6)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))))) (pow b 6)) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* (pow c 2) (+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))) |
(* (pow c 2) (+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))) |
(* (pow c 2) (+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* (pow c 3) (+ (* -9/16 (/ (pow a 2) (pow b 4))) (* -3/8 (/ a (* (pow b 2) c))))) |
(* (pow c 3) (+ (* -9/16 (/ (pow a 2) (pow b 4))) (* -3/8 (/ a (* (pow b 2) c))))) |
(* (pow c 3) (+ (* -9/16 (/ (pow a 2) (pow b 4))) (* -3/8 (/ a (* (pow b 2) c))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ a (* (pow b 2) c))) (* 9/16 (/ (pow a 2) (pow b 4)))))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ a (* (pow b 2) c))) (* 9/16 (/ (pow a 2) (pow b 4)))))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ a (* (pow b 2) c))) (* 9/16 (/ (pow a 2) (pow b 4)))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 4))) (* -3/8 (/ (pow c 2) (pow b 2))))) |
(* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 4))) (* -3/8 (/ (pow c 2) (pow b 2))))) |
(* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 4))) (* -3/8 (/ (pow c 2) (pow b 2))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -3/8 (/ (pow c 2) (* a (pow b 2)))))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -3/8 (/ (pow c 2) (* a (pow b 2)))))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -3/8 (/ (pow c 2) (* a (pow b 2)))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -3/8 (/ (pow c 2) (* a (pow b 2)))))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -3/8 (/ (pow c 2) (* a (pow b 2)))))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -3/8 (/ (pow c 2) (* a (pow b 2)))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))) (pow b 4)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))) (pow b 4)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))) (pow b 4)) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 2))) (* -3/8 (* a (pow c 2)))) (pow b 2)) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 2))) (* -3/8 (* a (pow c 2)))) (pow b 2)) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 2))) (* -3/8 (* a (pow c 2)))) (pow b 2)) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 2))) (* -3/8 (* a (pow c 2)))) (pow b 2)) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 2))) (* -3/8 (* a (pow c 2)))) (pow b 2)) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 2))) (* -3/8 (* a (pow c 2)))) (pow b 2)) |
(* -1/2 c) |
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (* -1/2 c)) |
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (* -1/2 c)) |
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (* -1/2 c)) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (* -1/2 (/ c (pow a 3))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (* -1/2 (/ c (pow a 3))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (* -1/2 (/ c (pow a 3))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -1 (* (pow a 3) (+ (* 1/2 (/ c (pow a 3))) (* 135/128 (/ (pow c 4) (pow b 6)))))) |
(* -1 (* (pow a 3) (+ (* 1/2 (/ c (pow a 3))) (* 135/128 (/ (pow c 4) (pow b 6)))))) |
(* -1 (* (pow a 3) (+ (* 1/2 (/ c (pow a 3))) (* 135/128 (/ (pow c 4) (pow b 6)))))) |
(* -1/2 c) |
(* c (- (* -135/128 (/ (* (pow a 3) (pow c 3)) (pow b 6))) 1/2)) |
(* c (- (* -135/128 (/ (* (pow a 3) (pow c 3)) (pow b 6))) 1/2)) |
(* c (- (* -135/128 (/ (* (pow a 3) (pow c 3)) (pow b 6))) 1/2)) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* (pow c 4) (- (* -135/128 (/ (pow a 3) (pow b 6))) (* 1/2 (/ 1 (pow c 3))))) |
(* (pow c 4) (- (* -135/128 (/ (pow a 3) (pow b 6))) (* 1/2 (/ 1 (pow c 3))))) |
(* (pow c 4) (- (* -135/128 (/ (pow a 3) (pow b 6))) (* 1/2 (/ 1 (pow c 3))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* (pow c 4) (- (* -135/128 (/ (pow a 3) (pow b 6))) (* 1/2 (/ 1 (pow c 3))))) |
(* (pow c 4) (- (* -135/128 (/ (pow a 3) (pow b 6))) (* 1/2 (/ 1 (pow c 3))))) |
(* (pow c 4) (- (* -135/128 (/ (pow a 3) (pow b 6))) (* 1/2 (/ 1 (pow c 3))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow b 6) c))) (pow b 6)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow b 6) c))) (pow b 6)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow b 6) c))) (pow b 6)) |
(* -1/2 c) |
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (* -1/2 c)) |
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (* -1/2 c)) |
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (* -1/2 c)) |
(* -1/2 c) |
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (* -1/2 c)) |
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (* -1/2 c)) |
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (* -1/2 c)) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3))) |
(* -1/2 (/ (* a c) b)) |
(/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2/3 b) |
(* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1/2 (/ (* a c) b)) |
(* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* a (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) |
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1/2 (/ (* a c) b)) |
(* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -9/16 (/ (pow a 3) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))) |
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(* -3/2 (/ (* a c) b)) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -3/2 (/ (* a c) b)) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))))) (/ 1 (* a (pow (sqrt -3) 2)))))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3))))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* a (pow (sqrt -3) 2)))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/32 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -27/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (- (+ (* -1 (/ (+ (* -3/8 (* a (pow c 2))) (* 3/4 (* a (pow c 2)))) (pow b 4))) (* 2/3 (/ 1 a))) (* 1/2 (/ c (pow b 2)))))) |
(* -1 (* b (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -3/8 (* a (pow c 2))) (* 3/4 (* a (pow c 2))))))) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* 2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (* 2/3 (/ 1 a))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 1/2 (/ c (pow b 2))) (* 3/4 (/ (* a (pow c 2)) (pow b 4)))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* a (+ (* -27/32 (/ (pow c 4) (pow b 7))) (* -27/128 (/ (pow c 4) (pow b 7)))))))))) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2))) a) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))) a) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (+ (* -1/2 (/ (pow b 3) (* a (* c (pow (sqrt -3) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))))) a) |
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (/ b (pow (sqrt 3) 2))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a))) a))) a)) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* c (+ (* -27/32 (/ (pow a 3) (pow b 7))) (* -27/128 (/ (pow a 3) (pow b 7))))))))) (* 1/2 (/ 1 b)))) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2)))) |
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (pow c 2)))) (* -1 (/ b (* a (pow (sqrt -3) 2))))) |
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (sqrt -3)))) (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4))))) (pow c 3)))) (+ (* -1 (/ b (* a (pow (sqrt -3) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))))) |
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) |
(+ (* -1 (/ b (* a (pow (sqrt 3) 2)))) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4))))) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) |
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* 3 (/ b (pow (sqrt -3) 2)))) |
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* b (+ (* 3 (* b (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3))))))) (* 3 (/ 1 (pow (sqrt -3) 2)))))) |
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -3 (* b (- (* 1/2 (/ 1 (* a (* c (pow (sqrt -3) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3))))))) (* 3 (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3)))))))) (* 3 (/ 1 (pow (sqrt -3) 2)))))) |
(* -3/2 (/ (* a c) b)) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3 (/ (+ (* -27/32 (* (pow a 4) (pow c 4))) (* -27/128 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3 (/ (+ (* -3/8 (* (pow a 2) (pow c 2))) (* 3/4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* -3/2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (+ 2 (+ (* -3 (/ (+ (* -3/4 (* a (* c (+ (* -3/8 (* (pow a 2) (pow c 2))) (* 3/4 (* (pow a 2) (pow c 2))))))) (+ (* -9/16 (* (pow a 3) (pow c 3))) (* 2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a c))))) (pow b 6))) (+ (* -3 (/ (+ (* -3/8 (* (pow a 2) (pow c 2))) (* 3/4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* -3/2 (/ (* a c) (pow b 2)))))))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* 3 (* a (+ (* -27/32 (/ (pow c 4) (pow b 7))) (* -27/128 (/ (pow c 4) (pow b 7)))))))))))) |
(* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) |
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* 3 (/ b (pow (sqrt -3) 2)))) |
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* 3 (/ b (pow (sqrt -3) 2))) (* 3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))))) |
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* 3 (/ b (pow (sqrt -3) 2))) (+ (* 3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -3) 4))))) (pow a 3))) (* 3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2)))))) |
(* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -3 (/ b (pow (sqrt 3) 2))) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* 3 (/ (* a b) (pow (sqrt 3) 2))) (* 3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -3 (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) (* 3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a))) a)) (* 3 (/ (* a b) (pow (sqrt 3) 2)))) a)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) |
(* -3/2 (/ (* a c) b)) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* 3 (* c (+ (* -27/32 (/ (pow a 4) (pow b 7))) (* -27/128 (/ (pow a 4) (pow b 7)))))))))))) |
(* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) |
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* 3 (/ b (pow (sqrt -3) 2)))) |
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* 3 (/ b (pow (sqrt -3) 2))) (* 3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))))) |
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* 3 (/ b (pow (sqrt -3) 2))) (+ (* 3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -3) 4))))) (pow c 3))) (* 3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2)))))) |
(* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -3 (/ b (pow (sqrt 3) 2))) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* 3 (/ (* b c) (pow (sqrt 3) 2))) (* 3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) c))) c)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -3 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) (* 3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt 3) 4))))) c))) c)) (* 3 (/ (* b c) (pow (sqrt 3) 2)))) c)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(* -27/8 (pow c 2)) |
(* (pow c 2) (- (* -27/16 (/ (* a c) (pow b 2))) 27/8)) |
(* (pow c 2) (- (* -27/16 (/ (* a c) (pow b 2))) 27/8)) |
(* (pow c 2) (- (* -27/16 (/ (* a c) (pow b 2))) 27/8)) |
(* -27/16 (/ (* a (pow c 3)) (pow b 2))) |
(* (pow c 3) (- (* -27/16 (/ a (pow b 2))) (* 27/8 (/ 1 c)))) |
(* (pow c 3) (- (* -27/16 (/ a (pow b 2))) (* 27/8 (/ 1 c)))) |
(* (pow c 3) (- (* -27/16 (/ a (pow b 2))) (* 27/8 (/ 1 c)))) |
(* -27/16 (/ (* a (pow c 3)) (pow b 2))) |
(* -1 (* (pow c 3) (+ (* 27/16 (/ a (pow b 2))) (* 27/8 (/ 1 c))))) |
(* -1 (* (pow c 3) (+ (* 27/16 (/ a (pow b 2))) (* 27/8 (/ 1 c))))) |
(* -1 (* (pow c 3) (+ (* 27/16 (/ a (pow b 2))) (* 27/8 (/ 1 c))))) |
(+ (* -9/2 (pow c 2)) (* 9/8 (pow c 2))) |
(+ (* -9/2 (pow c 2)) (+ (* -27/16 (/ (* a (pow c 3)) (pow b 2))) (* 9/8 (pow c 2)))) |
(+ (* -9/2 (pow c 2)) (+ (* -27/16 (/ (* a (pow c 3)) (pow b 2))) (* 9/8 (pow c 2)))) |
(+ (* -9/2 (pow c 2)) (+ (* -27/16 (/ (* a (pow c 3)) (pow b 2))) (* 9/8 (pow c 2)))) |
(* -27/16 (/ (* a (pow c 3)) (pow b 2))) |
(* a (+ (* -9/2 (/ (pow c 2) a)) (+ (* -27/16 (/ (pow c 3) (pow b 2))) (* 9/8 (/ (pow c 2) a))))) |
(* a (+ (* -9/2 (/ (pow c 2) a)) (+ (* -27/16 (/ (pow c 3) (pow b 2))) (* 9/8 (/ (pow c 2) a))))) |
(* a (+ (* -9/2 (/ (pow c 2) a)) (+ (* -27/16 (/ (pow c 3) (pow b 2))) (* 9/8 (/ (pow c 2) a))))) |
(* -27/16 (/ (* a (pow c 3)) (pow b 2))) |
(* -1 (* a (+ (* -1 (/ (+ (* -9/2 (pow c 2)) (* 9/8 (pow c 2))) a)) (* 27/16 (/ (pow c 3) (pow b 2)))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -9/2 (pow c 2)) (* 9/8 (pow c 2))) a)) (* 27/16 (/ (pow c 3) (pow b 2)))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -9/2 (pow c 2)) (* 9/8 (pow c 2))) a)) (* 27/16 (/ (pow c 3) (pow b 2)))))) |
(* -27/16 (/ (* a (pow c 3)) (pow b 2))) |
(/ (+ (* -27/16 (* a (pow c 3))) (* (pow b 2) (+ (* -9/2 (pow c 2)) (* 9/8 (pow c 2))))) (pow b 2)) |
(/ (+ (* -27/16 (* a (pow c 3))) (* (pow b 2) (+ (* -9/2 (pow c 2)) (* 9/8 (pow c 2))))) (pow b 2)) |
(/ (+ (* -27/16 (* a (pow c 3))) (* (pow b 2) (+ (* -9/2 (pow c 2)) (* 9/8 (pow c 2))))) (pow b 2)) |
(+ (* -9/2 (pow c 2)) (* 9/8 (pow c 2))) |
(+ (* -9/2 (pow c 2)) (+ (* -27/16 (/ (* a (pow c 3)) (pow b 2))) (* 9/8 (pow c 2)))) |
(+ (* -9/2 (pow c 2)) (+ (* -27/16 (/ (* a (pow c 3)) (pow b 2))) (* 9/8 (pow c 2)))) |
(+ (* -9/2 (pow c 2)) (+ (* -27/16 (/ (* a (pow c 3)) (pow b 2))) (* 9/8 (pow c 2)))) |
(+ (* -9/2 (pow c 2)) (* 9/8 (pow c 2))) |
(+ (* -9/2 (pow c 2)) (+ (* -27/16 (/ (* a (pow c 3)) (pow b 2))) (* 9/8 (pow c 2)))) |
(+ (* -9/2 (pow c 2)) (+ (* -27/16 (/ (* a (pow c 3)) (pow b 2))) (* 9/8 (pow c 2)))) |
(+ (* -9/2 (pow c 2)) (+ (* -27/16 (/ (* a (pow c 3)) (pow b 2))) (* 9/8 (pow c 2)))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* 1/3 (* a (- (+ (* -9/2 (/ (pow c 2) (pow b 3))) (* 9/4 (/ (pow c 2) (pow b 3)))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* 1/3 (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ (* c (- (* -9/2 (/ (pow c 2) (pow b 2))) (* -9/8 (/ (pow c 2) (pow b 2))))) (pow b 3))) (* 3/4 (* b (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))))))))) (* 1/3 (- (+ (* -9/2 (/ (pow c 2) (pow b 3))) (* 9/4 (/ (pow c 2) (pow b 3)))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* 1/3 (- (+ (* -9/2 (/ (pow c 2) (pow b 3))) (* 9/4 (/ (pow c 2) (pow b 3)))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* a (+ (* 1/3 (* a (- (+ (* -81/8 (/ (pow c 4) (pow b 7))) (+ (* -1/2 (* b (* (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6)))) (- (* -9/2 (/ (pow c 2) (pow b 2))) (* -9/8 (/ (pow c 2) (pow b 2))))))) (+ (* 3/4 (* b (* c (+ (* 3/2 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))) (pow b 2))) (* 27 (/ (pow c 3) (pow b 8))))))) (* 81/32 (/ (pow c 4) (pow b 7)))))) (* -1/2 (/ (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6)))) b))))) (* 1/3 (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ (* c (- (* -9/2 (/ (pow c 2) (pow b 2))) (* -9/8 (/ (pow c 2) (pow b 2))))) (pow b 3))) (* 3/4 (* b (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))))))))))))) |
(* 1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (pow b 2)))) |
(+ (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (pow b 2)))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3)))))))) (pow a 2)))) |
(+ (* 1/162 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (sqrt 1/3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (pow b 2)))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3)))))))) (pow a 2))))) |
(+ (* 1/162 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (sqrt 1/3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (pow b 2)))) (+ (* 1/3 (/ (+ (* -1/2 (* (sqrt (* a c)) (/ (* (+ (* 1/324 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt 1/3) 2)))) (* 1/81 (/ (pow b 6) (pow c 4)))) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (* (pow b 2) (sqrt 1/3))))) (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3)))))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* -1/8 (/ (pow b 8) (* (pow c 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 5) (pow (sqrt 3) 3))))))))) (pow a 4))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3)))))))) (pow a 2)))))) |
(* -1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) |
(+ (* -1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) (* -1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow a 2)))) |
(+ (* -1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) (+ (* -1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow a 2))) (* -1/162 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))))) |
(+ (* -1 (/ (+ (* 1/162 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 2) (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (* 1/3 (/ (+ (* -1/2 (* (sqrt (* a c)) (/ (* (sqrt -1) (* (+ (* -1/324 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/3) 2)))) (* 1/81 (/ (pow b 6) (pow c 4)))) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (* (pow b 2) (sqrt -1/3))))) (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* -1/8 (/ (pow b 8) (* (pow c 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -3) 3)))))))))) a))) (pow a 3))) (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) (* -1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow a 2))))) |
(* -1/2 (/ c b)) |
(* c (- (* 1/3 (* c (- (+ (* -9/2 (/ a (pow b 3))) (* 9/4 (/ a (pow b 3)))) (* -9/8 (/ a (pow b 3)))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* 1/3 (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (+ (* -3/2 (/ (* a (- (* -9/2 (/ a (pow b 2))) (* -9/8 (/ a (pow b 2))))) (pow b 3))) (* 3/4 (* b (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))))))))) (* 1/3 (- (+ (* -9/2 (/ a (pow b 3))) (* 9/4 (/ a (pow b 3)))) (* -9/8 (/ a (pow b 3))))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* 1/3 (- (+ (* -9/2 (/ a (pow b 3))) (* 9/4 (/ a (pow b 3)))) (* -9/8 (/ a (pow b 3))))) (* c (+ (* 1/3 (* c (- (+ (* -81/8 (/ (pow a 3) (pow b 7))) (+ (* -1/2 (* b (* (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))) (- (* -9/2 (/ a (pow b 2))) (* -9/8 (/ a (pow b 2))))))) (+ (* 3/4 (* b (+ (* 3/2 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))) (pow b 2))) (* 27 (/ (pow a 3) (pow b 8)))))) (* 81/32 (/ (pow a 3) (pow b 7)))))) (* -1/2 (/ (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6)))) (* a b)))))) (* 1/3 (+ (* -27/16 (/ (pow a 2) (pow b 5))) (+ (* -3/2 (/ (* a (- (* -9/2 (/ a (pow b 2))) (* -9/8 (/ a (pow b 2))))) (pow b 3))) (* 3/4 (* b (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))))))))))) (* 1/2 (/ 1 b)))) |
(* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (sqrt 1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (pow b 2)))) |
(* c (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt 1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (pow b 2)))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 3) (sqrt 3)))))))) (pow c 2))))) |
(* c (+ (* 1/162 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 2) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (sqrt 1/3)))) (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt 1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (pow b 2)))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 3) (sqrt 3)))))))) (pow c 2)))))) |
(* c (+ (* 1/162 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 2) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (sqrt 1/3)))) (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt 1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (pow b 2)))) (+ (* 1/3 (/ (+ (* -1/2 (* (sqrt (/ c a)) (/ (* (+ (* 1/324 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt 1/3) 2)))) (* 1/81 (/ (pow b 6) (pow a 4)))) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (* (pow b 2) (sqrt 1/3))))) (+ (* -1/18 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 3) (sqrt 3)))))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* -1/8 (/ (pow b 8) (* (pow a 4) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 5) (pow (sqrt 3) 3))))))))) (pow c 4))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 3) (sqrt 3)))))))) (pow c 2))))))) |
(* -1/3 (* (sqrt (/ c (pow a 3))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow c 2)))))) |
(* -1 (* c (+ (* 1/162 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 2) (* (sqrt -1) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow c 2))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ (+ (* -1/2 (* (sqrt (/ c a)) (/ (* (sqrt -1) (* (+ (* -1/324 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/3) 2)))) (* 1/81 (/ (pow b 6) (pow a 4)))) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (* (pow b 2) (sqrt -1/3))))) (+ (* -1/18 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* -1/8 (/ (pow b 8) (* (pow a 4) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -3) 3)))))))))) c)) (* -1/162 (* (sqrt (/ c (pow a 7))) (/ (* (pow b 2) (* (sqrt -1) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3))))) (pow c 3))) (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow c 2))))))) |
(* 1/3 (* (sqrt (/ c a)) (* (sqrt -9) (sqrt 1/3)))) |
(+ (* -1/3 (/ (* b (* (sqrt 1/3) (sqrt 3))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -9) (sqrt 1/3))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -9) (sqrt 1/3)))) (* b (+ (* -1/3 (/ (* (sqrt 1/3) (sqrt 3)) a)) (* -1/54 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b (sqrt -9)) (sqrt 1/3))))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -9) (sqrt 1/3)))) (* b (+ (* -1/3 (/ (* (sqrt 1/3) (sqrt 3)) a)) (* b (+ (* -1/54 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (sqrt -9) (sqrt 1/3)))) (* 1/3 (* b (+ (* -1/2 (/ (sqrt 1/3) (* (pow a 2) (* c (sqrt 3))))) (* 1/18 (/ (sqrt 3) (* (pow a 2) (* c (sqrt 1/3))))))))))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* 1/3 (/ (- (+ (* -9/2 (* a (pow c 2))) (* 9/4 (* a (pow c 2)))) (* -9/8 (* a (pow c 2)))) (pow b 2)))) b) |
(/ (+ (* -1/2 c) (+ (* 1/3 (/ (+ (* -27/16 (* (pow a 2) (pow c 3))) (+ (* -3/2 (* a (* c (- (* -9/2 (* a (pow c 2))) (* -9/8 (* a (pow c 2))))))) (* 3/4 (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))))) (pow b 4))) (* 1/3 (/ (- (+ (* -9/2 (* a (pow c 2))) (* 9/4 (* a (pow c 2)))) (* -9/8 (* a (pow c 2)))) (pow b 2))))) b) |
(/ (+ (* -1/2 c) (+ (* 1/3 (/ (+ (* -27/16 (* (pow a 2) (pow c 3))) (+ (* -3/2 (* a (* c (- (* -9/2 (* a (pow c 2))) (* -9/8 (* a (pow c 2))))))) (* 3/4 (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))))) (pow b 4))) (+ (* 1/3 (/ (- (+ (* -81/8 (* (pow a 3) (pow c 4))) (+ (* -1/2 (* (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (- (* -9/2 (* a (pow c 2))) (* -9/8 (* a (pow c 2)))))) (+ (* 3/4 (* c (+ (* 3/2 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))))) (* 27 (* (pow a 3) (pow c 3)))))) (* 81/32 (* (pow a 3) (pow c 4)))))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) a))) (pow b 6))) (* 1/3 (/ (- (+ (* -9/2 (* a (pow c 2))) (* 9/4 (* a (pow c 2)))) (* -9/8 (* a (pow c 2)))) (pow b 2)))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* 1/3 (/ (+ (* -3 c) (* 3/2 c)) (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* 1/3 (/ (+ (* -3 c) (* 3/2 c)) (pow b 2))) (+ (* 1/3 (/ (- (+ (* -9/2 (* a (pow c 2))) (+ (* -9/4 (* a (pow c 2))) (* -1 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) a)))) (* 9/8 (* a (pow c 2)))) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* 1/3 (/ (+ (* -3 c) (* 3/2 c)) (pow b 2))) (+ (* 1/3 (/ (+ (* -3/2 (* a (* c (- (* -9/2 (* a (pow c 2))) (* 9/8 (* a (pow c 2))))))) (+ (* -1 (/ (+ (* 3/2 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))))) (* 27 (* (pow a 3) (pow c 3)))) a)) (+ (* -3/4 (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))) (* 27/16 (* (pow a 2) (pow c 3)))))) (pow b 6))) (+ (* 1/3 (/ (- (+ (* -9/2 (* a (pow c 2))) (+ (* -9/4 (* a (pow c 2))) (* -1 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) a)))) (* 9/8 (* a (pow c 2)))) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* a (- (+ (* -9/2 (/ (pow c 2) (pow b 3))) (* 9/4 (/ (pow c 2) (pow b 3)))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (- (+ (* -9/2 (/ (pow c 2) (pow b 3))) (+ (* 9/4 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ (* c (- (* -9/2 (/ (pow c 2) (pow b 2))) (* -9/8 (/ (pow c 2) (pow b 2))))) (pow b 3))) (* 3/4 (* b (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6)))))))))))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (- (+ (* -9/2 (/ (pow c 2) (pow b 3))) (+ (* 9/4 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ (* c (- (* -9/2 (/ (pow c 2) (pow b 2))) (* -9/8 (/ (pow c 2) (pow b 2))))) (pow b 3))) (+ (* 3/4 (* b (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))))) (* a (- (+ (* -81/8 (/ (pow c 4) (pow b 7))) (+ (* -1/2 (* b (* (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6)))) (- (* -9/2 (/ (pow c 2) (pow b 2))) (* -9/8 (/ (pow c 2) (pow b 2))))))) (+ (* 3/4 (* b (* c (+ (* 3/2 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))) (pow b 2))) (* 27 (/ (pow c 3) (pow b 8))))))) (* 81/32 (/ (pow c 4) (pow b 7)))))) (* -1/2 (/ (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6)))) b)))))))))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* (sqrt (/ a c)) (/ (* (sqrt 1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (pow b 2))) |
(* a (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (pow b 2))) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3)))))))))) |
(* a (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (pow b 2))) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3))))))))))) |
(* a (+ (* -1/2 (* (sqrt (/ c (pow a 7))) (/ (* (+ (* 1/324 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt 1/3) 2)))) (* 1/81 (/ (pow b 6) (pow c 4)))) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (* (pow b 2) (sqrt 1/3))))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (/ (* (pow b 2) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3)))))) (sqrt 1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (pow b 2))) (+ (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3))))))) (* (sqrt (/ 1 (* (pow a 9) c))) (* (sqrt 1/3) (- (* -1/8 (/ (pow b 8) (* (pow c 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 5) (pow (sqrt 3) 3)))))))))))))) |
(* -1 (* (sqrt (/ a c)) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) |
(* -1 (* a (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2))) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3)))))))))))) |
(* -1 (* a (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2))) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (/ (* (sqrt -1) (* (+ (* -1/324 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/3) 2)))) (* 1/81 (/ (pow b 6) (pow c 4)))) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (* (pow b 2) (sqrt -1/3))))) (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* -1/8 (/ (pow b 8) (* (pow c 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -3) 3)))))))))) a)) (* -1/54 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 2) (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2))) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))))))) |
(* -3/2 (/ (* a c) b)) |
(* c (+ (* -3/2 (/ a b)) (* c (- (+ (* -9/2 (/ (pow a 2) (pow b 3))) (* 9/4 (/ (pow a 2) (pow b 3)))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (- (+ (* -9/2 (/ (pow a 2) (pow b 3))) (+ (* 9/4 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (+ (* -3/2 (/ (* a (- (* -9/2 (/ (pow a 2) (pow b 2))) (* -9/8 (/ (pow a 2) (pow b 2))))) (pow b 3))) (* 3/4 (* a (* b (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))))))))))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (- (+ (* -9/2 (/ (pow a 2) (pow b 3))) (+ (* 9/4 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (+ (* -3/2 (/ (* a (- (* -9/2 (/ (pow a 2) (pow b 2))) (* -9/8 (/ (pow a 2) (pow b 2))))) (pow b 3))) (+ (* 3/4 (* a (* b (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))))) (* c (- (+ (* -81/8 (/ (pow a 4) (pow b 7))) (+ (* -1/2 (* b (* (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))) (- (* -9/2 (/ (pow a 2) (pow b 2))) (* -9/8 (/ (pow a 2) (pow b 2))))))) (+ (* 3/4 (* a (* b (+ (* 3/2 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))) (pow b 2))) (* 27 (/ (pow a 3) (pow b 8))))))) (* 81/32 (/ (pow a 4) (pow b 7)))))) (* -1/2 (/ (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6)))) b)))))))))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* (sqrt (/ c a)) (/ (* (sqrt 1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (pow b 2))) |
(* c (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (pow b 2))) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (pow b 3) (sqrt 3)))))))))) |
(* c (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (pow b 2))) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (pow b 3) (sqrt 3))))))))))) |
(* c (+ (* -1/2 (* (sqrt (/ a (pow c 7))) (/ (* (+ (* 1/324 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt 1/3) 2)))) (* 1/81 (/ (pow b 6) (pow a 4)))) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (* (pow b 2) (sqrt 1/3))))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (* (pow b 2) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (pow b 3) (sqrt 3)))))) (sqrt 1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (pow b 2))) (+ (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (pow b 3) (sqrt 3))))))) (* (sqrt (/ 1 (* a (pow c 9)))) (* (sqrt 1/3) (- (* -1/8 (/ (pow b 8) (* (pow a 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 5) (pow (sqrt 3) 3)))))))))))))) |
(* -1 (* (sqrt (/ c a)) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) |
(* -1 (* c (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2))) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3)))))))))))) |
(* -1 (* c (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (* (sqrt -1) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2))) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (/ (* (sqrt -1) (* (+ (* -1/324 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/3) 2)))) (* 1/81 (/ (pow b 6) (pow a 4)))) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (* (pow b 2) (sqrt -1/3))))) (+ (* -1/18 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* -1/8 (/ (pow b 8) (* (pow a 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -3) 3)))))))))) c)) (* -1/54 (* (sqrt (/ c (pow a 5))) (/ (* (pow b 2) (* (sqrt -1) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3))))) (pow c 3))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2))) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))))))) |
(* (sqrt (* a c)) (* (sqrt -9) (sqrt 1/3))) |
(+ (* -1 (* b (* (sqrt 1/3) (sqrt 3)))) (* (sqrt (* a c)) (* (sqrt -9) (sqrt 1/3)))) |
(+ (* b (+ (* -1 (* (sqrt 1/3) (sqrt 3))) (* -1/18 (* (sqrt (/ 1 (* a c))) (/ (* b (sqrt -9)) (sqrt 1/3)))))) (* (sqrt (* a c)) (* (sqrt -9) (sqrt 1/3)))) |
(+ (* b (+ (* -1 (* (sqrt 1/3) (sqrt 3))) (* b (+ (* -1/18 (* (sqrt (/ 1 (* a c))) (/ (sqrt -9) (sqrt 1/3)))) (* b (+ (* -1/2 (/ (sqrt 1/3) (* a (* c (sqrt 3))))) (* 1/18 (/ (sqrt 3) (* a (* c (sqrt 1/3))))))))))) (* (sqrt (* a c)) (* (sqrt -9) (sqrt 1/3)))) |
(* -3/2 (/ (* a c) b)) |
(/ (- (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -3/2 (* a c)) (* 9/4 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (- (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -3/2 (/ (* a (* c (- (* -9/2 (* (pow a 2) (pow c 2))) (* -9/8 (* (pow a 2) (pow c 2)))))) (pow b 4))) (+ (* 3/4 (/ (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))) (pow b 4))) (* 9/4 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (- (+ (* -81/8 (/ (* (pow a 4) (pow c 4)) (pow b 6))) (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -3/2 (/ (* a (* c (- (* -9/2 (* (pow a 2) (pow c 2))) (* -9/8 (* (pow a 2) (pow c 2)))))) (pow b 4))) (+ (* -1/2 (/ (* (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (- (* -9/2 (* (pow a 2) (pow c 2))) (* -9/8 (* (pow a 2) (pow c 2))))) (pow b 6))) (+ (* 3/4 (/ (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))) (pow b 4))) (+ (* 3/4 (/ (* a (* c (+ (* 3/2 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))))) (* 27 (* (pow a 3) (pow c 3)))))) (pow b 6))) (+ (* 9/4 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 81/32 (/ (* (pow a 4) (pow c 4)) (pow b 6)))))))))))) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))))) b) |
(* -2 b) |
(* -1 (* b (+ 2 (+ (* -3 (/ (* a c) (pow b 2))) (* 3/2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (- (+ 2 (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* -3 (/ (* a c) (pow b 2))) (+ (* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* -1 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2)))))))) (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* -1 (* b (- (+ 2 (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* -3 (/ (* a c) (pow b 2))) (+ (* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* -3/2 (/ (* a (* c (- (* -9/2 (* (pow a 2) (pow c 2))) (* 9/8 (* (pow a 2) (pow c 2)))))) (pow b 6))) (+ (* -1 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 4))) (+ (* -1 (/ (+ (* 3/2 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))))) (* 27 (* (pow a 3) (pow c 3)))) (pow b 6))) (+ (* -3/4 (/ (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))) (pow b 6))) (+ (* 3/2 (/ (* a c) (pow b 2))) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6)))))))))))) (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* -3/2 (* a (* (pow b 2) c))) |
(* a (- (* a (- (* -9/2 (pow c 2)) (* -9/8 (pow c 2)))) (* 3/2 (* (pow b 2) c)))) |
(* a (- (* a (- (+ (* -9/2 (pow c 2)) (* -27/16 (/ (* a (pow c 3)) (pow b 2)))) (* -9/8 (pow c 2)))) (* 3/2 (* (pow b 2) c)))) |
(* a (- (* a (- (+ (* -9/2 (pow c 2)) (* a (- (* a (- (* -81/8 (/ (pow c 4) (pow b 4))) (* -1/2 (* (pow b 2) (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6)))))))) (* 27/16 (/ (pow c 3) (pow b 2)))))) (* -9/8 (pow c 2)))) (* 3/2 (* (pow b 2) c)))) |
(* a (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) |
(* a (- (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 5) (sqrt 3)))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))))) |
(* a (- (+ (* -1/8 (/ (pow b 10) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 7) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 5) (sqrt 3)))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))))) |
(* a (- (+ (* -1/8 (/ (pow b 10) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 14) (* (pow a 6) (* (pow c 5) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 7) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 9) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 5) (sqrt 3)))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))))))) |
(* -1 (* a (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* a (- (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 5) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))))) |
(* -1 (* a (- (+ (* -1/8 (/ (pow b 10) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 7) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 5) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))))) |
(* -1 (* a (- (+ (* -1/8 (/ (pow b 10) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 14) (* (pow a 6) (* (pow c 5) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 7) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 9) (sqrt -1)) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 5) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))))))) |
(* -3/2 (* a (* (pow b 2) c))) |
(* c (- (* c (- (* -9/2 (pow a 2)) (* -9/8 (pow a 2)))) (* 3/2 (* a (pow b 2))))) |
(* c (- (* c (- (+ (* -9/2 (pow a 2)) (* -27/16 (/ (* (pow a 3) c) (pow b 2)))) (* -9/8 (pow a 2)))) (* 3/2 (* a (pow b 2))))) |
(* c (- (* c (- (+ (* -9/2 (pow a 2)) (* c (- (* c (- (* -81/8 (/ (pow a 4) (pow b 4))) (* -1/2 (* (pow b 2) (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6)))))))) (* 27/16 (/ (pow a 3) (pow b 2)))))) (* -9/8 (pow a 2)))) (* 3/2 (* a (pow b 2))))) |
(* c (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) |
(* c (- (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 5) (sqrt 3)))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))))) |
(* c (- (+ (* -1/8 (/ (pow b 10) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 7) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 5) (sqrt 3)))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))))) |
(* c (- (+ (* -1/8 (/ (pow b 10) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 14) (* (pow a 5) (* (pow c 6) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 7) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 9) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 5) (sqrt 3)))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))))))) |
(* -1 (* c (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* c (- (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 5) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))))) |
(* -1 (* c (- (+ (* -1/8 (/ (pow b 10) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 7) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 5) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))))) |
(* -1 (* c (- (+ (* -1/8 (/ (pow b 10) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 14) (* (pow a 5) (* (pow c 6) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 7) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 9) (sqrt -1)) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 5) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))))))) |
(* a (* (pow b 2) (* c (sqrt -9)))) |
(* (pow b 2) (+ (* -1 (* (sqrt (* a c)) (* b (sqrt 3)))) (* a (* c (sqrt -9))))) |
(* (pow b 2) (+ (* a (* c (sqrt -9))) (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (* a c)) (sqrt 3)))))) |
(* (pow b 2) (+ (* a (* c (sqrt -9))) (* b (- (* (pow b 2) (- (* 1/2 (/ b (* a (* c (sqrt -9))))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt 3)))))) (* (sqrt (* a c)) (sqrt 3)))))) |
(* -3/2 (* a (* (pow b 2) c))) |
(* (pow b 2) (- (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))))) |
(* (pow b 2) (- (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))))) |
(* (pow b 2) (- (+ (* -81/8 (/ (* (pow a 4) (pow c 4)) (pow b 6))) (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 3/2 (* a c)) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))))) |
(* 2 (pow b 4)) |
(* (pow b 4) (+ 2 (* 3/2 (/ (* a c) (pow b 2))))) |
(* (pow b 4) (- (+ 2 (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* (pow b 4) (- (+ 2 (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(* -9/16 (* (pow a 2) (pow c 3))) |
(* -9/16 (* (pow a 2) (pow c 3))) |
(* -9/16 (* (pow a 2) (pow c 3))) |
(* -9/16 (* (pow a 2) (pow c 3))) |
(* -9/16 (* (pow a 2) (pow c 3))) |
(* -9/16 (* (pow a 2) (pow c 3))) |
(* -9/16 (* (pow a 2) (pow c 3))) |
(* -9/16 (* (pow a 2) (pow c 3))) |
(* -9/16 (* (pow a 2) (pow c 3))) |
(* -9/16 (* (pow a 2) (pow c 3))) |
(* -9/16 (* (pow a 2) (pow c 3))) |
(* -9/16 (* (pow a 2) (pow c 3))) |
(* -9/16 (* (pow a 2) (pow c 3))) |
(* -9/16 (* (pow a 2) (pow c 3))) |
(* -9/16 (* (pow a 2) (pow c 3))) |
(* -9/16 (* (pow a 2) (pow c 3))) |
(* -9/16 (* (pow a 2) (pow c 3))) |
(* -9/16 (* (pow a 2) (pow c 3))) |
(* -9/16 (* (pow a 2) (pow c 3))) |
(* -9/16 (* (pow a 2) (pow c 3))) |
(* -9/16 (* (pow a 2) (pow c 3))) |
(* -9/16 (* (pow a 2) (pow c 3))) |
(* -9/16 (* (pow a 2) (pow c 3))) |
(* -9/16 (* (pow a 2) (pow c 3))) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/ (* a (pow c 3)) (pow b 2)) |
| Outputs |
|---|
(* -1/2 c) |
(*.f64 #s(literal -1/2 binary64) c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(fma.f64 #s(literal -1/2 binary64) c (/.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c c)) (*.f64 b b))) |
(+ (* -1/2 c) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 4))) (* -3/8 (/ (pow c 2) (pow b 2)))))) |
(fma.f64 a (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) c)) |
(+ (* -1/2 c) (* a (+ (* -3/8 (/ (pow c 2) (pow b 2))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 6))) (* -9/16 (/ (pow c 3) (pow b 4)))))))) |
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 6 binary64)))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (* -9/16 (/ (pow c 3) (* a (pow b 4)))))) |
(*.f64 (*.f64 a (*.f64 a a)) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (pow.f64 b #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 4)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 2))))))) |
(*.f64 (*.f64 a (*.f64 a a)) (fma.f64 #s(literal -135/128 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (pow.f64 b #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 a a) (*.f64 b b)))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 4)))) (+ (* -1/2 (/ c (pow a 3))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 2)))))))) |
(*.f64 (*.f64 a (*.f64 a a)) (fma.f64 #s(literal -135/128 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (pow.f64 b #s(literal 4 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 a (*.f64 a a))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 a a) (*.f64 b b))))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(* -1 (* (pow a 3) (+ (* 9/16 (/ (pow c 3) (* a (pow b 4)))) (* 135/128 (/ (pow c 4) (pow b 6)))))) |
(*.f64 (neg.f64 (*.f64 a (*.f64 a a))) (fma.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (pow.f64 b #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -3/8 (/ (pow c 2) (* a (pow b 2))))) a)) (* 135/128 (/ (pow c 4) (pow b 6)))))) |
(*.f64 (neg.f64 (*.f64 a (*.f64 a a))) (-.f64 (/.f64 (*.f64 #s(literal 135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 a (*.f64 b b))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64)))) a))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))) a)) (* -9/16 (/ (pow c 3) (pow b 4)))) a)) (* 135/128 (/ (pow c 4) (pow b 6)))))) |
(*.f64 (neg.f64 (*.f64 a (*.f64 a a))) (-.f64 (/.f64 (*.f64 #s(literal 135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 c a) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 c c)) (*.f64 b b))) a)) a))) |
(* -1/2 c) |
(*.f64 #s(literal -1/2 binary64) c) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal -1/2 binary64))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))) 1/2)) |
(*.f64 c (fma.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/2 binary64))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 2))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4))))))) 1/2)) |
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b)))) #s(literal -1/2 binary64))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -9/16 (/ (pow a 2) (* (pow b 4) c))))) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a a) (*.f64 (pow.f64 b #s(literal 4 binary64)) c)) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 6 binary64))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (+ (* -9/16 (/ (pow a 2) (* (pow b 4) c))) (* -3/8 (/ a (* (pow b 2) (pow c 2))))))) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) (fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a a) (*.f64 (pow.f64 b #s(literal 4 binary64)) c)) (/.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 (*.f64 b b) (*.f64 c c)))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 6))) (+ (* -9/16 (/ (pow a 2) (* (pow b 4) c))) (* -3/8 (/ a (* (pow b 2) (pow c 2)))))) (* 1/2 (/ 1 (pow c 3))))) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a a) (*.f64 (pow.f64 b #s(literal 4 binary64)) c)) (/.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 (*.f64 b b) (*.f64 c c))))) (/.f64 #s(literal 1/2 binary64) (*.f64 c (*.f64 c c))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -9/16 (/ (pow a 2) (* (pow b 4) c))))) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a a) (*.f64 (pow.f64 b #s(literal 4 binary64)) c)) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 6 binary64))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -1 (/ (+ (* 3/8 (/ a (* (pow b 2) c))) (* 9/16 (/ (pow a 2) (pow b 4)))) c)))) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) (-.f64 (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 6 binary64))) (/.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 a (*.f64 (*.f64 b b) c)) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64)))) c))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -1 (/ (+ (* -1 (/ (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))) c)) (* 9/16 (/ (pow a 2) (pow b 4)))) c)))) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) (-.f64 (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 6 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (-.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c)) c)) c))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -9/16 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 6)) |
(/.f64 (fma.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 b b)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 6 binary64))) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))))) (pow b 6)) |
(/.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 a (*.f64 b b)) (*.f64 c c)) (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 6 binary64))) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))))) (pow b 6)) |
(/.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c))) (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 6 binary64))) |
(* -1/2 c) |
(*.f64 #s(literal -1/2 binary64) c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(fma.f64 #s(literal -1/2 binary64) c (/.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c c)) (*.f64 b b))) |
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/2 binary64) c (/.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c c)) (*.f64 b b)))) |
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))) |
(fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/2 binary64) c (/.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c c)) (*.f64 b b))))) |
(* -1/2 c) |
(*.f64 #s(literal -1/2 binary64) c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(fma.f64 #s(literal -1/2 binary64) c (/.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c c)) (*.f64 b b))) |
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/2 binary64) c (/.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c c)) (*.f64 b b)))) |
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))) |
(fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/2 binary64) c (/.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c c)) (*.f64 b b))))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 6 binary64))) |
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(*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) |
(* -9/16 (* (pow a 2) (pow c 3))) |
(*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) |
(* -9/16 (* (pow a 2) (pow c 3))) |
(*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) |
(* -9/16 (* (pow a 2) (pow c 3))) |
(*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) |
(* -9/16 (* (pow a 2) (pow c 3))) |
(*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) |
(* -9/16 (* (pow a 2) (pow c 3))) |
(*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) |
(* -9/16 (* (pow a 2) (pow c 3))) |
(*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) |
(* -9/16 (* (pow a 2) (pow c 3))) |
(*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) |
(* -9/16 (* (pow a 2) (pow c 3))) |
(*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) |
(* -9/16 (* (pow a 2) (pow c 3))) |
(*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) |
(* -9/16 (* (pow a 2) (pow c 3))) |
(*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) |
(* -9/16 (* (pow a 2) (pow c 3))) |
(*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) |
(* -9/16 (* (pow a 2) (pow c 3))) |
(*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) |
(* -9/16 (* (pow a 2) (pow c 3))) |
(*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) |
(/ (* a (pow c 3)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) |
| 5 764× | lower-*.f32 |
| 5 702× | lower-*.f64 |
| 5 068× | lower-fma.f32 |
| 5 054× | lower-fma.f64 |
| 2 400× | lower-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 99 | 787 |
| 0 | 165 | 667 |
| 1 | 623 | 595 |
| 2 | 5074 | 587 |
| 0 | 8544 | 582 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) |
(fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b))))) |
(fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c) |
(/.f64 #s(literal -1/2 binary64) b) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64))) |
(/.f64 #s(literal 1 binary64) a) |
(*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) |
(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) |
(/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) |
(-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) |
(*.f64 b b) |
(fma.f64 (*.f64 c c) #s(literal -9/2 binary64) (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (*.f64 #s(literal 9/8 binary64) (*.f64 c c)))) |
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 a (fma.f64 a (fma.f64 (*.f64 c c) #s(literal -9/2 binary64) (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (*.f64 #s(literal 9/8 binary64) (*.f64 c c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 c (*.f64 b b)))))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 a (fma.f64 a (fma.f64 (*.f64 c c) #s(literal -9/2 binary64) (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (*.f64 #s(literal 9/8 binary64) (*.f64 c c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 c (*.f64 b b)))))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) |
#s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 a (fma.f64 a (fma.f64 (*.f64 c c) #s(literal -9/2 binary64) (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (*.f64 #s(literal 9/8 binary64) (*.f64 c c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 c (*.f64 b b)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) b)) |
(*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) |
(*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) |
(*.f64 c (*.f64 a #s(literal -3 binary64))) |
(/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) |
| Outputs |
|---|
(+.f64 (*.f64 c #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 c (*.f64 c (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) a))) (fma.f64 (*.f64 a a) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) #s(literal -8/3 binary64)))))) |
(+.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 c c)))) (/.f64 (*.f64 (*.f64 c c) #s(literal 405/64 binary64)) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) a)))) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 a a) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) #s(literal -8/3 binary64))))) |
(+.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64)))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 c c)))) (/.f64 (*.f64 (*.f64 c c) #s(literal 405/64 binary64)) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) a)))) (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) #s(literal -8/3 binary64)))))) |
(+.f64 (fma.f64 (*.f64 a a) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) #s(literal -8/3 binary64)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 c c)))) (/.f64 (*.f64 (*.f64 c c) #s(literal 405/64 binary64)) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) a)))) (*.f64 c #s(literal -1/2 binary64)))) |
(+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 c (*.f64 c (*.f64 (*.f64 c c) #s(literal 405/64 binary64))))))) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) a))) (fma.f64 c #s(literal -1/2 binary64) (fma.f64 (*.f64 a a) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) #s(literal -8/3 binary64)))))) |
(+.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) #s(literal -8/3 binary64))) (fma.f64 (*.f64 a a) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 c c)))) (/.f64 (*.f64 (*.f64 c c) #s(literal 405/64 binary64)) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) a)))) (*.f64 c #s(literal -1/2 binary64))))) |
(+.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 c c)))) (/.f64 (*.f64 (*.f64 c c) #s(literal 405/64 binary64)) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) a)))) (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) #s(literal -8/3 binary64))))) (/.f64 (*.f64 (*.f64 a a) (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64)))) (*.f64 b (*.f64 b (*.f64 b b))))) |
(+.f64 (fma.f64 c #s(literal -1/2 binary64) (fma.f64 (*.f64 a a) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) #s(literal -8/3 binary64))))) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 c (*.f64 c (*.f64 (*.f64 c c) #s(literal 405/64 binary64))))))) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) a)))) |
(+.f64 (+.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 c c)))) (/.f64 (*.f64 (*.f64 c c) #s(literal 405/64 binary64)) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) a)))) (*.f64 c #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 a a) (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64)))) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) #s(literal -8/3 binary64)))) |
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(/.f64 #s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 a (fma.f64 a (fma.f64 c (*.f64 c #s(literal -9/2 binary64)) (fma.f64 c (*.f64 c #s(literal 9/8 binary64)) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 c (*.f64 a (*.f64 c c)))) (*.f64 b b)))) (*.f64 c (*.f64 (*.f64 b b) #s(literal -3/2 binary64)))))) (*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (*.f64 b b))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (*.f64 b b)))) #s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 a (fma.f64 a (fma.f64 c (*.f64 c #s(literal -9/2 binary64)) (fma.f64 c (*.f64 c #s(literal 9/8 binary64)) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 c (*.f64 a (*.f64 c c)))) (*.f64 b b)))) (*.f64 c (*.f64 (*.f64 b b) #s(literal -3/2 binary64))))))))) |
(/.f64 (neg.f64 #s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 a (fma.f64 a (fma.f64 c (*.f64 c #s(literal -9/2 binary64)) (fma.f64 c (*.f64 c #s(literal 9/8 binary64)) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 c (*.f64 a (*.f64 c c)))) (*.f64 b b)))) (*.f64 c (*.f64 (*.f64 b b) #s(literal -3/2 binary64))))))) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b (neg.f64 b)))) |
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 a (fma.f64 a (fma.f64 c (*.f64 c #s(literal -9/2 binary64)) (fma.f64 c (*.f64 c #s(literal 9/8 binary64)) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 c (*.f64 a (*.f64 c c)))) (*.f64 b b)))) (*.f64 c (*.f64 (*.f64 b b) #s(literal -3/2 binary64)))))) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (*.f64 b b)))) (*.f64 b b)) |
(/.f64 (*.f64 #s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 a (fma.f64 a (fma.f64 c (*.f64 c #s(literal -9/2 binary64)) (fma.f64 c (*.f64 c #s(literal 9/8 binary64)) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 c (*.f64 a (*.f64 c c)))) (*.f64 b b)))) (*.f64 c (*.f64 (*.f64 b b) #s(literal -3/2 binary64)))))) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (*.f64 b b))))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 a (fma.f64 a (fma.f64 c (*.f64 c #s(literal -9/2 binary64)) (fma.f64 c (*.f64 c #s(literal 9/8 binary64)) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 c (*.f64 a (*.f64 c c)))) (*.f64 b b)))) (*.f64 c (*.f64 (*.f64 b b) #s(literal -3/2 binary64)))))))) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b (neg.f64 b))))) |
(/.f64 (neg.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 a (fma.f64 a (fma.f64 c (*.f64 c #s(literal -9/2 binary64)) (fma.f64 c (*.f64 c #s(literal 9/8 binary64)) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 c (*.f64 a (*.f64 c c)))) (*.f64 b b)))) (*.f64 c (*.f64 (*.f64 b b) #s(literal -3/2 binary64)))))) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (*.f64 b b))))) (*.f64 b (neg.f64 b))) |
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 a (fma.f64 a (fma.f64 c (*.f64 c #s(literal -9/2 binary64)) (fma.f64 c (*.f64 c #s(literal 9/8 binary64)) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 c (*.f64 a (*.f64 c c)))) (*.f64 b b)))) (*.f64 c (*.f64 (*.f64 b b) #s(literal -3/2 binary64)))))) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (*.f64 b b)))) |
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 a (fma.f64 a (fma.f64 c (*.f64 c #s(literal -9/2 binary64)) (fma.f64 c (*.f64 c #s(literal 9/8 binary64)) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 c (*.f64 a (*.f64 c c)))) (*.f64 b b)))) (*.f64 c (*.f64 (*.f64 b b) #s(literal -3/2 binary64)))))) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (*.f64 b b))))) b) |
(/.f64 (/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 a (fma.f64 a (fma.f64 c (*.f64 c #s(literal -9/2 binary64)) (fma.f64 c (*.f64 c #s(literal 9/8 binary64)) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 c (*.f64 a (*.f64 c c)))) (*.f64 b b)))) (*.f64 c (*.f64 (*.f64 b b) #s(literal -3/2 binary64)))))) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (*.f64 b b)))) b) b) |
(pow.f64 (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (*.f64 b b)))) #s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 a (fma.f64 a (fma.f64 c (*.f64 c #s(literal -9/2 binary64)) (fma.f64 c (*.f64 c #s(literal 9/8 binary64)) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 c (*.f64 a (*.f64 c c)))) (*.f64 b b)))) (*.f64 c (*.f64 (*.f64 b b) #s(literal -3/2 binary64))))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (*.f64 b b)))) #s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 a (fma.f64 a (fma.f64 c (*.f64 c #s(literal -9/2 binary64)) (fma.f64 c (*.f64 c #s(literal 9/8 binary64)) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 c (*.f64 a (*.f64 c c)))) (*.f64 b b)))) (*.f64 c (*.f64 (*.f64 b b) #s(literal -3/2 binary64))))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 b b) (/.f64 #s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 a (fma.f64 a (fma.f64 c (*.f64 c #s(literal -9/2 binary64)) (fma.f64 c (*.f64 c #s(literal 9/8 binary64)) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 c (*.f64 a (*.f64 c c)))) (*.f64 b b)))) (*.f64 c (*.f64 (*.f64 b b) #s(literal -3/2 binary64)))))) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (*.f64 b b))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 a (fma.f64 a (fma.f64 c (*.f64 c #s(literal -9/2 binary64)) (fma.f64 c (*.f64 c #s(literal 9/8 binary64)) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 c (*.f64 a (*.f64 c c)))) (*.f64 b b)))) (*.f64 c (*.f64 (*.f64 b b) #s(literal -3/2 binary64)))))) (*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (*.f64 b b)))))) |
(*.f64 #s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 a (fma.f64 a (fma.f64 c (*.f64 c #s(literal -9/2 binary64)) (fma.f64 c (*.f64 c #s(literal 9/8 binary64)) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 c (*.f64 a (*.f64 c c)))) (*.f64 b b)))) (*.f64 c (*.f64 (*.f64 b b) #s(literal -3/2 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (*.f64 b b)))))) |
(*.f64 (neg.f64 #s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 a (fma.f64 a (fma.f64 c (*.f64 c #s(literal -9/2 binary64)) (fma.f64 c (*.f64 c #s(literal 9/8 binary64)) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 c (*.f64 a (*.f64 c c)))) (*.f64 b b)))) (*.f64 c (*.f64 (*.f64 b b) #s(literal -3/2 binary64))))))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b (neg.f64 b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (*.f64 b b))))) #s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 a (fma.f64 a (fma.f64 c (*.f64 c #s(literal -9/2 binary64)) (fma.f64 c (*.f64 c #s(literal 9/8 binary64)) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 c (*.f64 a (*.f64 c c)))) (*.f64 b b)))) (*.f64 c (*.f64 (*.f64 b b) #s(literal -3/2 binary64))))))) |
(*.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 a (fma.f64 a (fma.f64 c (*.f64 c #s(literal -9/2 binary64)) (fma.f64 c (*.f64 c #s(literal 9/8 binary64)) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 c (*.f64 a (*.f64 c c)))) (*.f64 b b)))) (*.f64 c (*.f64 (*.f64 b b) #s(literal -3/2 binary64)))))) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
#s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 a (fma.f64 a (fma.f64 c (*.f64 c #s(literal -9/2 binary64)) (fma.f64 c (*.f64 c #s(literal 9/8 binary64)) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 c (*.f64 a (*.f64 c c)))) (*.f64 b b)))) (*.f64 c (*.f64 (*.f64 b b) #s(literal -3/2 binary64)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 a a) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 c c)))) (/.f64 (*.f64 (*.f64 c c) #s(literal 405/64 binary64)) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) a)))) (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) #s(literal -8/3 binary64)))))) b)) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 b)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 6 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 b)) #s(literal 3/2 binary64))) |
(exp.f64 (fma.f64 (log.f64 (neg.f64 b)) #s(literal 3 binary64) (*.f64 (log.f64 (neg.f64 b)) #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 #s(literal 3 binary64) (log.f64 b) (*.f64 #s(literal 3 binary64) (log.f64 b)))) |
(pow.f64 b #s(literal 6 binary64)) |
(pow.f64 (*.f64 b b) #s(literal 3 binary64)) |
(pow.f64 (*.f64 b (*.f64 b b)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 3/2 binary64)) |
(pow.f64 (neg.f64 b) #s(literal 6 binary64)) |
(*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) |
(*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) |
(*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b b)) |
(*.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 b (neg.f64 b)) #s(literal 3 binary64))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))) b) |
(*.f64 (pow.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) #s(literal 3 binary64)) (*.f64 b (*.f64 b b))) |
(*.f64 a (*.f64 (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 a c))) |
(*.f64 (*.f64 a a) (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64)))) |
(*.f64 c (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)))) |
(*.f64 (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 c (*.f64 a a))) |
(*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) |
(*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -9/16 binary64) (*.f64 a a))) |
(*.f64 (*.f64 (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 a c)) a) |
(*.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) c) |
(*.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) |
(*.f64 (*.f64 (*.f64 a a) (*.f64 c (*.f64 c c))) #s(literal -9/16 binary64)) |
(-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal 3 binary64)))) |
(neg.f64 (*.f64 a (*.f64 c #s(literal 3 binary64)))) |
(*.f64 a (*.f64 c #s(literal -3 binary64))) |
(*.f64 a (*.f64 #s(literal -3 binary64) c)) |
(*.f64 c (*.f64 a #s(literal -3 binary64))) |
(*.f64 #s(literal 3 binary64) (neg.f64 (*.f64 a c))) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(*.f64 (*.f64 a #s(literal 3 binary64)) (neg.f64 c)) |
(*.f64 (*.f64 a c) #s(literal -3 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 a (*.f64 c #s(literal 3 binary64)))) |
(*.f64 (*.f64 a #s(literal -3 binary64)) c) |
(*.f64 (neg.f64 c) (*.f64 a #s(literal 3 binary64))) |
(*.f64 (neg.f64 (*.f64 a c)) #s(literal 3 binary64)) |
(*.f64 (*.f64 c #s(literal -3 binary64)) a) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 b b) (*.f64 c (*.f64 a (*.f64 c c))))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 c c))) (*.f64 b (neg.f64 b)))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 c (*.f64 a (*.f64 c c)))) (*.f64 b b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 c (*.f64 a (*.f64 c c))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b b) (*.f64 c (*.f64 a (*.f64 c c)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (*.f64 c (*.f64 a (*.f64 c c))) b))) |
(/.f64 (*.f64 c (*.f64 a (*.f64 c c))) (*.f64 b b)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b b) (*.f64 c (*.f64 a (*.f64 c c)))))) |
(/.f64 (neg.f64 (*.f64 c (*.f64 a (*.f64 c c)))) (*.f64 b (neg.f64 b))) |
(/.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 c c))) b) b) |
(/.f64 (neg.f64 (neg.f64 (*.f64 c (*.f64 a (*.f64 c c))))) (*.f64 b b)) |
(/.f64 (neg.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 c c))) b)) (neg.f64 b)) |
(/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 c c))) #s(literal 1 binary64)) (*.f64 b b)) |
(/.f64 (*.f64 (/.f64 a b) (*.f64 c (*.f64 c c))) b) |
(pow.f64 (/.f64 (*.f64 b b) (*.f64 c (*.f64 a (*.f64 c c)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 b b) (*.f64 c (*.f64 a (*.f64 c c)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 b (/.f64 (*.f64 c (*.f64 a (*.f64 c c))) b)) #s(literal -1 binary64)) |
(*.f64 a (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b b))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 c c))) (*.f64 b b))) |
(*.f64 (*.f64 c (*.f64 c c)) (/.f64 a (*.f64 b b))) |
(*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (/.f64 #s(literal 1 binary64) (*.f64 b b)))) |
(*.f64 (*.f64 c (*.f64 a (*.f64 c c))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(*.f64 (*.f64 a c) (*.f64 (*.f64 c c) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) |
(*.f64 (*.f64 a c) (/.f64 (*.f64 c c) (*.f64 b b))) |
(*.f64 (neg.f64 (*.f64 c (*.f64 a (*.f64 c c)))) (/.f64 #s(literal 1 binary64) (*.f64 b (neg.f64 b)))) |
(*.f64 (/.f64 a b) (/.f64 (*.f64 c (*.f64 c c)) b)) |
(*.f64 (/.f64 (*.f64 c (*.f64 c c)) b) (/.f64 a b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 c (*.f64 a (*.f64 c c)))) |
(*.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 c c))) b) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b b)) a) |
(*.f64 (/.f64 (*.f64 a c) b) (/.f64 (*.f64 c c) b)) |
Compiled 96 778 to 5 350 computations (94.5% saved)
34 alts after pruning (30 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 727 | 21 | 1 748 |
| Fresh | 30 | 9 | 39 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 2 | 3 |
| Total | 1 761 | 34 | 1 795 |
| Status | Accuracy | Program |
|---|---|---|
| 17.6% | (/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b) a) #s(literal 3 binary64)) | |
| 18.6% | (/.f64 (/.f64 (*.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (fma.f64 b b #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) | |
| 95.6% | (/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 a (fma.f64 a #s(approx (+ (* (* c c) -9/2) (+ (* -27/16 (/ (* a (* c (* c c))) (* b b))) (* 9/8 (* c c)))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal -27/8 binary64)))) (*.f64 #s(literal -3/2 binary64) (*.f64 c (*.f64 b b)))))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 99.2% | (/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) |
| 18.6% | (/.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))))) (*.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (fma.f64 b b #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))))))) | |
| ▶ | 18.1% | (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))) |
| 17.7% | (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) (*.f64 a #s(literal 3 binary64))) | |
| 17.6% | (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b)) a) | |
| 90.1% | (/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b b))) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 90.2% | (/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b b))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 17.4% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a))) | |
| 17.6% | (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b) a) #s(literal 1/3 binary64)) | |
| 19.2% | (*.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) #s(literal 1/3 binary64) (*.f64 (neg.f64 b) #s(literal 1/3 binary64)))) | |
| 17.6% | (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b)))) | |
| 17.5% | (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (*.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) #s(literal 1/3 binary64)) (*.f64 (neg.f64 b) #s(literal 1/3 binary64)))) | |
| ✓ | 17.7% | (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64))) |
| 90.0% | (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(approx (- (sqrt (- (* b b) (* (* 3 a) c))) b) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) #s(literal 1/3 binary64))) | |
| 90.2% | (*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a c)) b))) | |
| ▶ | 17.6% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b)) |
| 18.1% | (*.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))))) | |
| 17.6% | (*.f64 (neg.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) | |
| 95.0% | #s(approx (/ (/ (- (* b b) (- (* b b) (* (* 3 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 3 a) c))))) (* 3 a)) (/.f64 (fma.f64 #s(literal -1/2 binary64) c (/.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c c)) (*.f64 b b))) b)) | |
| 97.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 a a) (fma.f64 a (*.f64 (*.f64 c c) (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))))) b)) | |
| 97.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) #s(approx (+ (* (* c c) (* a (/ -3/8 (* b b)))) (/ (* (* c (* (* c c) -9/16)) (* a a)) (* b (* b (* b b))))) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c c) (/.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 b b))) (*.f64 b b)))) b)) | |
| 97.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (+.f64 #s(approx (+ (* -1/6 (/ (* (* a (* a (* a a))) (* (* c c) (* (* c c) 405/64))) (* (* (* b (* b b)) (* b (* b b))) a))) (* c -1/2)) (*.f64 c (fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/2 binary64)))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) b)) | |
| 95.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (+ (* -1/6 (/ (* (* a (* a (* a a))) (* (* c c) (* (* c c) 405/64))) (* (* (* b (* b b)) (* b (* b b))) a))) (* c -1/2)) (+ (* (* c c) (* a (/ -3/8 (* b b)))) (/ (* (* c (* (* c c) -9/16)) (* a a)) (* b (* b (* b b)))))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal -1/2 binary64)))) b)) | |
| ▶ | 90.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
| ✓ | 90.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c)) |
| ✓ | 94.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))) |
| 94.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c #s(approx (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)) b)))) | |
| 94.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c #s(approx (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) (*.f64 #s(literal -3/8 binary64) (*.f64 c a))) (*.f64 b (*.f64 b b)))))) | |
| 94.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c #s(approx (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b)) (*.f64 (neg.f64 a) (fma.f64 #s(literal 3/8 binary64) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))))))) | |
| ✓ | 90.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
| ▶ | 94.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))))) |
Compiled 1 941 to 976 computations (49.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 b b) | |
| cost-diff | 0 | (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) | |
| cost-diff | 0 | (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))) | |
| cost-diff | 128 | (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))) | |
| cost-diff | 0 | #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b)))) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))))) | |
| cost-diff | 320 | (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b) | |
| cost-diff | 0 | (/.f64 #s(literal 1/3 binary64) a) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b)) | |
| cost-diff | 0 | (/.f64 b c) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) | |
| cost-diff | 384 | (/.f64 #s(literal -1/2 binary64) (/.f64 b c)) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) (*.f64 a c)) | |
| cost-diff | 0 | #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) | |
| cost-diff | 0 | (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) | |
| cost-diff | 512 | (/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) |
| 4 468× | lower-fma.f32 |
| 4 462× | lower-fma.f64 |
| 4 150× | lower-*.f32 |
| 4 122× | lower-*.f64 |
| 1 706× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 680 |
| 0 | 95 | 679 |
| 1 | 180 | 632 |
| 2 | 399 | 620 |
| 3 | 1009 | 617 |
| 4 | 2406 | 617 |
| 5 | 5516 | 617 |
| 0 | 8133 | 611 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) |
#s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) |
(*.f64 #s(literal 3 binary64) (*.f64 a c)) |
#s(literal 3 binary64) |
(*.f64 a c) |
a |
c |
(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64))))))) |
(neg.f64 b) |
b |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) |
#s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64))))) |
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
(*.f64 c (*.f64 a #s(literal -3 binary64))) |
(*.f64 a #s(literal -3 binary64)) |
#s(literal -3 binary64) |
(*.f64 #s(literal 3 binary64) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
(/.f64 #s(literal -1/2 binary64) (/.f64 b c)) |
#s(literal -1/2 binary64) |
(/.f64 b c) |
b |
c |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b)) |
(/.f64 #s(literal 1/3 binary64) a) |
#s(literal 1/3 binary64) |
a |
(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b) |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) |
#s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) |
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) |
c |
(*.f64 a #s(literal -3 binary64)) |
#s(literal -3 binary64) |
(*.f64 b b) |
b |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))))) |
#s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b)))) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) |
#s(literal -1/2 binary64) |
(*.f64 c (*.f64 b b)) |
c |
(*.f64 b b) |
b |
(*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) |
#s(literal -3/8 binary64) |
(*.f64 a (*.f64 c c)) |
a |
(*.f64 c c) |
(*.f64 b (*.f64 b b)) |
(/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))) |
(-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) |
(*.f64 b b) |
b |
#s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) |
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) |
c |
(*.f64 a #s(literal -3 binary64)) |
a |
#s(literal -3 binary64) |
(*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) |
(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) |
(neg.f64 b) |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
| Outputs |
|---|
(/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (*.f64 a (*.f64 #s(literal -3 binary64) (+.f64 b (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))))) |
(/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) |
(/.f64 (neg.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (+.f64 b (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) |
#s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) |
#s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(*.f64 #s(literal 3 binary64) (*.f64 a c)) |
(*.f64 (*.f64 #s(literal 3 binary64) a) c) |
#s(literal 3 binary64) |
(*.f64 a c) |
a |
c |
(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64))))))) |
(neg.f64 b) |
b |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) |
#s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64))))) |
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
(*.f64 c (*.f64 a #s(literal -3 binary64))) |
(*.f64 a #s(literal -3 binary64)) |
#s(literal -3 binary64) |
(*.f64 #s(literal 3 binary64) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
(/.f64 #s(literal -1/2 binary64) (/.f64 b c)) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b)) |
#s(literal -1/2 binary64) |
(/.f64 b c) |
b |
c |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b)) |
(/.f64 #s(literal 1/3 binary64) a) |
#s(literal 1/3 binary64) |
a |
(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b) |
(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) |
#s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) |
#s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64))))) |
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) |
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
c |
(*.f64 a #s(literal -3 binary64)) |
#s(literal -3 binary64) |
(*.f64 b b) |
b |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 (*.f64 c (fma.f64 a (*.f64 c #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))) (*.f64 b (*.f64 b b))))) |
#s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b)))) |
#s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 (*.f64 c (fma.f64 a (*.f64 c #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))) (*.f64 b (*.f64 b b)))) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))) |
(/.f64 (*.f64 c (fma.f64 a (*.f64 c #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))) (*.f64 b (*.f64 b b))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) |
(*.f64 c (fma.f64 a (*.f64 c #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))) |
#s(literal -1/2 binary64) |
(*.f64 c (*.f64 b b)) |
(*.f64 b (*.f64 b c)) |
c |
(*.f64 b b) |
b |
(*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) |
(*.f64 a (*.f64 c (*.f64 c #s(literal -3/8 binary64)))) |
#s(literal -3/8 binary64) |
(*.f64 a (*.f64 c c)) |
a |
(*.f64 c c) |
(*.f64 b (*.f64 b b)) |
(/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (*.f64 a (*.f64 #s(literal -3 binary64) (+.f64 b (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))))) |
(-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) |
(-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) |
(*.f64 b b) |
b |
#s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) |
#s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64))))) |
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) |
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
c |
(*.f64 a #s(literal -3 binary64)) |
a |
#s(literal -3 binary64) |
(*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) |
(*.f64 a (*.f64 #s(literal -3 binary64) (+.f64 b (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64))))))))) |
(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) |
(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64))))))) |
(neg.f64 b) |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) |
(*.f64 a #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.078125 | (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) | |
| accuracy | 0.26953125 | (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) | |
| accuracy | 0.37337875976844204 | (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))) | |
| accuracy | 52.535768564335946 | (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) | |
| accuracy | 0.2734375 | (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) | |
| accuracy | 0.28125 | (*.f64 c (*.f64 b b)) | |
| accuracy | 0.30697250976844204 | (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))) | |
| accuracy | 3.1591498001108693 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))))) | |
| accuracy | 0.078125 | (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) | |
| accuracy | 0.313163769536884 | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b)) | |
| accuracy | 0.328125 | (/.f64 #s(literal 1/3 binary64) a) | |
| accuracy | 52.67049415646412 | (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b) | |
| accuracy | 0 | (/.f64 b c) | |
| accuracy | 0.265625 | (/.f64 #s(literal -1/2 binary64) (/.f64 b c)) | |
| accuracy | 5.989535083613955 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) | |
| accuracy | 0.25390625 | (*.f64 c (*.f64 a #s(literal -3 binary64))) | |
| accuracy | 0.265625 | (*.f64 #s(literal 3 binary64) (*.f64 a c)) | |
| accuracy | 0.2890625 | (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) | |
| accuracy | 0.3828125 | (/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) |
| 138.0ms | 208× | 1 | valid |
| 20.0ms | 48× | 0 | valid |
Compiled 459 to 50 computations (89.1% saved)
ival-mult: 37.0ms (32.1% of total)ival-div: 31.0ms (26.9% of total)adjust: 17.0ms (14.7% of total)ival-sub: 13.0ms (11.3% of total)ival-add: 8.0ms (6.9% of total)const: 4.0ms (3.5% of total)ival-sqrt: 4.0ms (3.5% of total)exact: 1.0ms (0.9% of total)ival-neg: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (patch (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (patch #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 3 binary64) (*.f64 a c)) (patch (*.f64 #s(literal 3 binary64) (*.f64 a c)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1/2 binary64) (/.f64 b c)) (patch (/.f64 #s(literal -1/2 binary64) (/.f64 b c)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) #<representation binary64>) () ()) |
#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b)) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/3 binary64) a) (patch (/.f64 #s(literal 1/3 binary64) a) #<representation binary64>) () ()) |
#s(alt (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b) (patch (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (patch (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (patch (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b)))) (patch #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))) (patch (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) (patch (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))) (patch (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (patch (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) #<representation binary64>) () ()) |
#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ()) |
#s(alt (*.f64 c (*.f64 a #s(literal -3 binary64))) (patch (*.f64 c (*.f64 a #s(literal -3 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (patch (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (*.f64 c (*.f64 b b)) (patch (*.f64 c (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (patch (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (taylor 0 b) (#s(alt (/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2)))) (taylor 0 b) (#s(alt (/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))))) (/ 1 (* a (pow (sqrt -3) 2)))))) (taylor 0 b) (#s(alt (/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3))))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* a (pow (sqrt -3) 2)))))) (taylor 0 b) (#s(alt (/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor inf b) (#s(alt (/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -27/32 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -27/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))))))) b) (taylor inf b) (#s(alt (/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -2/3 (/ b a)) (taylor -inf b) (#s(alt (/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) (taylor -inf b) (#s(alt (/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (- (+ (* -1 (/ (+ (* -3/8 (* a (pow c 2))) (* 3/4 (* a (pow c 2)))) (pow b 4))) (* 2/3 (/ 1 a))) (* 1/2 (/ c (pow b 2)))))) (taylor -inf b) (#s(alt (/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -3/8 (* a (pow c 2))) (* 3/4 (* a (pow c 2))))))) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* 2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (* 2/3 (/ 1 a))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 1/2 (/ c (pow b 2))) (* 3/4 (/ (* a (pow c 2)) (pow b 4)))))))) (taylor -inf b) (#s(alt (/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor 0 a) (#s(alt (/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) (taylor 0 a) (#s(alt (/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* a (+ (* -27/32 (/ (pow c 4) (pow b 7))) (* -27/128 (/ (pow c 4) (pow b 7)))))))))) (taylor 0 a) (#s(alt (/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (taylor inf a) (#s(alt (/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2))) a) (taylor inf a) (#s(alt (/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))) a) (taylor inf a) (#s(alt (/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (+ (* -1/2 (/ (pow b 3) (* a (* c (pow (sqrt -3) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))))) a) (taylor inf a) (#s(alt (/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) (taylor -inf a) (#s(alt (/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3 (/ (+ (* -27/32 (* (pow a 4) (pow c 4))) (* -27/128 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) (taylor inf b) (#s(alt (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (patch (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* b (+ 2 (+ (* -3 (/ (+ (* -3/8 (* (pow a 2) (pow c 2))) (* 3/4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* -3/2 (/ (* a c) (pow b 2))))))) (taylor -inf b) (#s(alt (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (patch (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 2 (+ (* -3 (/ (+ (* -3/4 (* a (* c (+ (* -3/8 (* (pow a 2) (pow c 2))) (* 3/4 (* (pow a 2) (pow c 2))))))) (+ (* -9/16 (* (pow a 3) (pow c 3))) (* 2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a c))))) (pow b 6))) (+ (* -3 (/ (+ (* -3/8 (* (pow a 2) (pow c 2))) (* 3/4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* -3/2 (/ (* a c) (pow b 2)))))))) (taylor -inf b) (#s(alt (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (patch (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/2 (/ (* a c) b)) (taylor 0 a) (#s(alt (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (patch (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) (taylor 0 a) (#s(alt (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (patch (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) (taylor 0 a) (#s(alt (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (patch (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* 3 (* a (+ (* -27/32 (/ (pow c 4) (pow b 7))) (* -27/128 (/ (pow c 4) (pow b 7)))))))))))) (taylor 0 a) (#s(alt (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (patch (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (taylor inf a) (#s(alt (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (patch (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* 3 (/ b (pow (sqrt -3) 2)))) (taylor inf a) (#s(alt (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (patch (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* 3 (/ b (pow (sqrt -3) 2))) (* 3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))))) (taylor inf a) (#s(alt (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (patch (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* 3 (/ b (pow (sqrt -3) 2))) (+ (* 3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -3) 4))))) (pow a 3))) (* 3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2)))))) (taylor inf a) (#s(alt (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (patch (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (patch (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -3 (/ b (pow (sqrt 3) 2))) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (patch (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* 3 (/ (* a b) (pow (sqrt 3) 2))) (* 3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (patch (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -3 (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) (* 3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a))) a)) (* 3 (/ (* a b) (pow (sqrt 3) 2)))) a)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (patch (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/2 (/ (* a c) b)) (taylor 0 c) (#s(alt (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (patch (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (patch (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) (taylor 0 c) (#s(alt (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (patch (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* 3 (* c (+ (* -27/32 (/ (pow a 4) (pow b 7))) (* -27/128 (/ (pow a 4) (pow b 7)))))))))))) (taylor 0 c) (#s(alt (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (patch (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) #<representation binary64>) () ())) ()) |
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#s(alt (+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) (taylor 0 c) (#s(alt (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (patch (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) (taylor -inf b) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) (taylor -inf b) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) (taylor 0 a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) (taylor inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) (taylor inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) (taylor inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ()) |
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#s(alt (* b (+ (* -6 a) (+ (* 27/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 9/2 (/ (* (pow a 2) c) (pow b 2)))))) (taylor inf b) (#s(alt (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) (patch (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* -6 a) (+ (* 27/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* 9/2 (/ (* (pow a 2) c) (pow b 2))) (* 81/16 (/ (* (pow a 4) (pow c 3)) (pow b 6))))))) (taylor inf b) (#s(alt (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) (patch (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -9/2 (/ (* (pow a 2) c) b)) (taylor -inf b) (#s(alt (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) (patch (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* 27/8 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* 9/2 (* (pow a 2) c))) b)) (taylor -inf b) (#s(alt (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) (patch (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* 27/8 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (+ (* 9/2 (* (pow a 2) c)) (* 81/16 (/ (* (pow a 4) (pow c 3)) (pow b 4))))) b)) (taylor -inf b) (#s(alt (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) (patch (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* 3/2 (/ (* a (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4))))) (pow b 6))) (+ (* 27/8 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (+ (* 9/2 (* (pow a 2) c)) (* 81/16 (/ (* (pow a 4) (pow c 3)) (pow b 4)))))) b)) (taylor -inf b) (#s(alt (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) (patch (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -6 (* a b)) (taylor 0 a) (#s(alt (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) (patch (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -6 b) (* 9/2 (/ (* a c) b)))) (taylor 0 a) (#s(alt (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) (patch (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -6 b) (* a (+ (* 27/8 (/ (* a (pow c 2)) (pow b 3))) (* 9/2 (/ c b)))))) (taylor 0 a) (#s(alt (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) (patch (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -6 b) (* a (+ (* 9/2 (/ c b)) (* a (+ (* 27/8 (/ (pow c 2) (pow b 3))) (* 81/16 (/ (* a (pow c 3)) (pow b 5))))))))) (taylor 0 a) (#s(alt (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) (patch (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) (taylor inf a) (#s(alt (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) (patch (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -3 (* (sqrt (/ c a)) (sqrt -3))) (* -3 (/ b a)))) (taylor inf a) (#s(alt (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) (patch (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -3 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -3 (/ b a)) (* -3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3))))))) (taylor inf a) (#s(alt (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) (patch (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -3 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -3 (/ b a)) (+ (* -3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 3/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))))))) (taylor inf a) (#s(alt (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) (patch (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* (sqrt (* (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) (patch (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -3 (/ b a)) (* 3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf a) (#s(alt (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) (patch (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -1 (/ (+ (* -3/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3 b)) a)) (* 3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf a) (#s(alt (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) (patch (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -3/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 3 b)) a)) (* 3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf a) (#s(alt (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) (patch (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -6 (* a b)) (taylor 0 c) (#s(alt (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) (patch (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -6 (* a b)) (* 9/2 (/ (* (pow a 2) c) b))) (taylor 0 c) (#s(alt (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) (patch (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -6 (* a b)) (* c (+ (* 27/8 (/ (* (pow a 3) c) (pow b 3))) (* 9/2 (/ (pow a 2) b))))) (taylor 0 c) (#s(alt (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) (patch (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -6 (* a b)) (* c (+ (* 9/2 (/ (pow a 2) b)) (* c (+ (* 27/8 (/ (pow a 3) (pow b 3))) (* 81/16 (/ (* (pow a 4) c) (pow b 5)))))))) (taylor 0 c) (#s(alt (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) (patch (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) (taylor inf c) (#s(alt (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) (patch (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (* -3 (/ (* a b) c)))) (taylor inf c) (#s(alt (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) (patch (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (+ (* -3 (/ (* a b) c)) (* -3/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3))))))) (taylor inf c) (#s(alt (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) (patch (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (+ (* -3 (/ (* a b) c)) (+ (* -3/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (* 3/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))))))) (taylor inf c) (#s(alt (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) (patch (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* (sqrt (* (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) (taylor -inf c) (#s(alt (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) (patch (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) (* 3 (/ (* a b) c))))) (taylor -inf c) (#s(alt (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) (patch (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -3 (* a b)) (* 3/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))))) (taylor -inf c) (#s(alt (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) (patch (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -3 (* a b)) (* -1 (/ (+ (* -3/2 (* (sqrt (* a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3/8 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) c))) c))))) (taylor -inf c) (#s(alt (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) (patch (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))) (patch (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2)))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))) (patch (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))))) (/ 1 (* a (pow (sqrt -3) 2)))))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))) (patch (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3))))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* a (pow (sqrt -3) 2)))))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))) (patch (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor inf b) (#s(alt (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))) (patch (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))) (patch (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))) (patch (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -27/32 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -27/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))))))) b) (taylor inf b) (#s(alt (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))) (patch (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -2/3 (/ b a)) (taylor -inf b) (#s(alt (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))) (patch (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) (taylor -inf b) (#s(alt (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))) (patch (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (- (+ (* -1 (/ (+ (* -3/8 (* a (pow c 2))) (* 3/4 (* a (pow c 2)))) (pow b 4))) (* 2/3 (/ 1 a))) (* 1/2 (/ c (pow b 2)))))) (taylor -inf b) (#s(alt (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))) (patch (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -3/8 (* a (pow c 2))) (* 3/4 (* a (pow c 2))))))) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* 2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (* 2/3 (/ 1 a))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 1/2 (/ c (pow b 2))) (* 3/4 (/ (* a (pow c 2)) (pow b 4)))))))) (taylor -inf b) (#s(alt (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))) (patch (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor 0 a) (#s(alt (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))) (patch (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))) (patch (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) (taylor 0 a) (#s(alt (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))) (patch (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* a (+ (* -27/32 (/ (pow c 4) (pow b 7))) (* -27/128 (/ (pow c 4) (pow b 7)))))))))) (taylor 0 a) (#s(alt (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))) (patch (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (taylor inf a) (#s(alt (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))) (patch (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2))) a) (taylor inf a) (#s(alt (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))) (patch (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))) a) (taylor inf a) (#s(alt (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))) (patch (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (+ (* -1/2 (/ (pow b 3) (* a (* c (pow (sqrt -3) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))))) a) (taylor inf a) (#s(alt (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))) (patch (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) (taylor -inf a) (#s(alt (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (patch (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) (taylor -inf a) (#s(alt (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (patch (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) (taylor -inf a) (#s(alt (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (patch (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* a c)) (taylor 0 b) (#s(alt (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (patch (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (patch (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (patch (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (patch (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 2) (taylor inf b) (#s(alt (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (patch (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (patch (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (patch (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (patch (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 2) (taylor -inf b) (#s(alt (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (patch (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) (taylor -inf b) (#s(alt (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (patch (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) (taylor -inf b) (#s(alt (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (patch (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) (taylor -inf b) (#s(alt (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (patch (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) c) (taylor 0 c) (#s(alt (*.f64 c (*.f64 b b)) (patch (*.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) c) (taylor 0 c) (#s(alt (*.f64 c (*.f64 b b)) (patch (*.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) c) (taylor 0 c) (#s(alt (*.f64 c (*.f64 b b)) (patch (*.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) c) (taylor 0 c) (#s(alt (*.f64 c (*.f64 b b)) (patch (*.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) c) (taylor inf c) (#s(alt (*.f64 c (*.f64 b b)) (patch (*.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) c) (taylor inf c) (#s(alt (*.f64 c (*.f64 b b)) (patch (*.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) c) (taylor inf c) (#s(alt (*.f64 c (*.f64 b b)) (patch (*.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) c) (taylor inf c) (#s(alt (*.f64 c (*.f64 b b)) (patch (*.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) c) (taylor -inf c) (#s(alt (*.f64 c (*.f64 b b)) (patch (*.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) c) (taylor -inf c) (#s(alt (*.f64 c (*.f64 b b)) (patch (*.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) c) (taylor -inf c) (#s(alt (*.f64 c (*.f64 b b)) (patch (*.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) c) (taylor -inf c) (#s(alt (*.f64 c (*.f64 b b)) (patch (*.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) c) (taylor 0 b) (#s(alt (*.f64 c (*.f64 b b)) (patch (*.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) c) (taylor 0 b) (#s(alt (*.f64 c (*.f64 b b)) (patch (*.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) c) (taylor 0 b) (#s(alt (*.f64 c (*.f64 b b)) (patch (*.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) c) (taylor 0 b) (#s(alt (*.f64 c (*.f64 b b)) (patch (*.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) c) (taylor inf b) (#s(alt (*.f64 c (*.f64 b b)) (patch (*.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) c) (taylor inf b) (#s(alt (*.f64 c (*.f64 b b)) (patch (*.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) c) (taylor inf b) (#s(alt (*.f64 c (*.f64 b b)) (patch (*.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) c) (taylor inf b) (#s(alt (*.f64 c (*.f64 b b)) (patch (*.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) c) (taylor -inf b) (#s(alt (*.f64 c (*.f64 b b)) (patch (*.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) c) (taylor -inf b) (#s(alt (*.f64 c (*.f64 b b)) (patch (*.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) c) (taylor -inf b) (#s(alt (*.f64 c (*.f64 b b)) (patch (*.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) c) (taylor -inf b) (#s(alt (*.f64 c (*.f64 b b)) (patch (*.f64 c (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (* a (pow c 2))) (taylor 0 a) (#s(alt (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (patch (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (* a (pow c 2))) (taylor 0 a) (#s(alt (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (patch (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (* a (pow c 2))) (taylor 0 a) (#s(alt (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (patch (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (* a (pow c 2))) (taylor 0 a) (#s(alt (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (patch (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (* a (pow c 2))) (taylor inf a) (#s(alt (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (patch (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (* a (pow c 2))) (taylor inf a) (#s(alt (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (patch (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (* a (pow c 2))) (taylor inf a) (#s(alt (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (patch (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (* a (pow c 2))) (taylor inf a) (#s(alt (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (patch (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (* a (pow c 2))) (taylor -inf a) (#s(alt (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (patch (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (* a (pow c 2))) (taylor -inf a) (#s(alt (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (patch (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (* a (pow c 2))) (taylor -inf a) (#s(alt (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (patch (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (* a (pow c 2))) (taylor -inf a) (#s(alt (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (patch (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (* a (pow c 2))) (taylor 0 c) (#s(alt (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (patch (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (* a (pow c 2))) (taylor 0 c) (#s(alt (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (patch (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (* a (pow c 2))) (taylor 0 c) (#s(alt (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (patch (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (* a (pow c 2))) (taylor 0 c) (#s(alt (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (patch (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (* a (pow c 2))) (taylor inf c) (#s(alt (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (patch (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (* a (pow c 2))) (taylor inf c) (#s(alt (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (patch (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (* a (pow c 2))) (taylor inf c) (#s(alt (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (patch (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (* a (pow c 2))) (taylor inf c) (#s(alt (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (patch (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (* a (pow c 2))) (taylor -inf c) (#s(alt (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (patch (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (* a (pow c 2))) (taylor -inf c) (#s(alt (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (patch (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (* a (pow c 2))) (taylor -inf c) (#s(alt (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (patch (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (* a (pow c 2))) (taylor -inf c) (#s(alt (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (patch (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) #<representation binary64>) () ())) ()) |
177 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | c | @ | -inf | (* (- (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* a 3)) |
| 1.0ms | a | @ | inf | (* (- (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* a 3)) |
| 1.0ms | c | @ | inf | (* (- (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* a 3)) |
| 1.0ms | b | @ | -inf | (* (- (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* a 3)) |
| 1.0ms | b | @ | inf | (* (- (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* a 3)) |
| 1× | egg-herbie |
| 7 824× | lower-fma.f64 |
| 7 824× | lower-fma.f32 |
| 7 434× | lower-*.f64 |
| 7 434× | lower-*.f32 |
| 5 622× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1183 | 13219 |
| 1 | 3918 | 12780 |
| 0 | 8375 | 12278 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))))) (/ 1 (* a (pow (sqrt -3) 2)))))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3))))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* a (pow (sqrt -3) 2)))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/32 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -27/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (- (+ (* -1 (/ (+ (* -3/8 (* a (pow c 2))) (* 3/4 (* a (pow c 2)))) (pow b 4))) (* 2/3 (/ 1 a))) (* 1/2 (/ c (pow b 2)))))) |
(* -1 (* b (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -3/8 (* a (pow c 2))) (* 3/4 (* a (pow c 2))))))) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* 2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (* 2/3 (/ 1 a))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 1/2 (/ c (pow b 2))) (* 3/4 (/ (* a (pow c 2)) (pow b 4)))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* a (+ (* -27/32 (/ (pow c 4) (pow b 7))) (* -27/128 (/ (pow c 4) (pow b 7)))))))))) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2))) a) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))) a) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (+ (* -1/2 (/ (pow b 3) (* a (* c (pow (sqrt -3) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))))) a) |
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (/ b (pow (sqrt 3) 2))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a))) a))) a)) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* c (+ (* -27/32 (/ (pow a 3) (pow b 7))) (* -27/128 (/ (pow a 3) (pow b 7))))))))) (* 1/2 (/ 1 b)))) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2)))) |
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (pow c 2)))) (* -1 (/ b (* a (pow (sqrt -3) 2))))) |
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (sqrt -3)))) (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4))))) (pow c 3)))) (+ (* -1 (/ b (* a (pow (sqrt -3) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))))) |
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) |
(+ (* -1 (/ b (* a (pow (sqrt 3) 2)))) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4))))) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) |
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* 3 (/ b (pow (sqrt -3) 2)))) |
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* b (+ (* 3 (* b (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3))))))) (* 3 (/ 1 (pow (sqrt -3) 2)))))) |
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -3 (* b (- (* 1/2 (/ 1 (* a (* c (pow (sqrt -3) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3))))))) (* 3 (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3)))))))) (* 3 (/ 1 (pow (sqrt -3) 2)))))) |
(* -3/2 (/ (* a c) b)) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3 (/ (+ (* -27/32 (* (pow a 4) (pow c 4))) (* -27/128 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3 (/ (+ (* -3/8 (* (pow a 2) (pow c 2))) (* 3/4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* -3/2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (+ 2 (+ (* -3 (/ (+ (* -3/4 (* a (* c (+ (* -3/8 (* (pow a 2) (pow c 2))) (* 3/4 (* (pow a 2) (pow c 2))))))) (+ (* -9/16 (* (pow a 3) (pow c 3))) (* 2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a c))))) (pow b 6))) (+ (* -3 (/ (+ (* -3/8 (* (pow a 2) (pow c 2))) (* 3/4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* -3/2 (/ (* a c) (pow b 2)))))))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* 3 (* a (+ (* -27/32 (/ (pow c 4) (pow b 7))) (* -27/128 (/ (pow c 4) (pow b 7)))))))))))) |
(* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) |
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* 3 (/ b (pow (sqrt -3) 2)))) |
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* 3 (/ b (pow (sqrt -3) 2))) (* 3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))))) |
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* 3 (/ b (pow (sqrt -3) 2))) (+ (* 3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -3) 4))))) (pow a 3))) (* 3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2)))))) |
(* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -3 (/ b (pow (sqrt 3) 2))) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* 3 (/ (* a b) (pow (sqrt 3) 2))) (* 3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -3 (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) (* 3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a))) a)) (* 3 (/ (* a b) (pow (sqrt 3) 2)))) a)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) |
(* -3/2 (/ (* a c) b)) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* 3 (* c (+ (* -27/32 (/ (pow a 4) (pow b 7))) (* -27/128 (/ (pow a 4) (pow b 7)))))))))))) |
(* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) |
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* 3 (/ b (pow (sqrt -3) 2)))) |
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* 3 (/ b (pow (sqrt -3) 2))) (* 3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))))) |
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* 3 (/ b (pow (sqrt -3) 2))) (+ (* 3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -3) 4))))) (pow c 3))) (* 3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2)))))) |
(* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -3 (/ b (pow (sqrt 3) 2))) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* 3 (/ (* b c) (pow (sqrt 3) 2))) (* 3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) c))) c)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -3 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) (* 3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt 3) 4))))) c))) c)) (* 3 (/ (* b c) (pow (sqrt 3) 2)))) c)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(/ 1/3 a) |
(/ 1/3 a) |
(/ 1/3 a) |
(/ 1/3 a) |
(/ 1/3 a) |
(/ 1/3 a) |
(/ 1/3 a) |
(/ 1/3 a) |
(/ 1/3 a) |
(/ 1/3 a) |
(/ 1/3 a) |
(/ 1/3 a) |
(* (sqrt (* a c)) (sqrt -3)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(* -3/2 (/ (* a c) b)) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -3/2 (/ (* a c) b)) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
b |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1/2 (* (pow b 2) c)) |
(* c (+ (* -1/2 (pow b 2)) (* -3/8 (* a c)))) |
(* c (+ (* -1/2 (pow b 2)) (* -3/8 (* a c)))) |
(* c (+ (* -1/2 (pow b 2)) (* -3/8 (* a c)))) |
(* -3/8 (* a (pow c 2))) |
(* (pow c 2) (+ (* -1/2 (/ (pow b 2) c)) (* -3/8 a))) |
(* (pow c 2) (+ (* -1/2 (/ (pow b 2) c)) (* -3/8 a))) |
(* (pow c 2) (+ (* -1/2 (/ (pow b 2) c)) (* -3/8 a))) |
(* -3/8 (* a (pow c 2))) |
(* (pow c 2) (+ (* -1/2 (/ (pow b 2) c)) (* -3/8 a))) |
(* (pow c 2) (+ (* -1/2 (/ (pow b 2) c)) (* -3/8 a))) |
(* (pow c 2) (+ (* -1/2 (/ (pow b 2) c)) (* -3/8 a))) |
(* -3/8 (* a (pow c 2))) |
(+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) |
(+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) |
(+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) |
(* -1/2 (* (pow b 2) c)) |
(* (pow b 2) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(* (pow b 2) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(* (pow b 2) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(* -1/2 (* (pow b 2) c)) |
(* (pow b 2) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(* (pow b 2) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(* (pow b 2) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(* -1/2 (* (pow b 2) c)) |
(+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) |
(+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) |
(+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) |
(* -3/8 (* a (pow c 2))) |
(* a (+ (* -1/2 (/ (* (pow b 2) c) a)) (* -3/8 (pow c 2)))) |
(* a (+ (* -1/2 (/ (* (pow b 2) c) a)) (* -3/8 (pow c 2)))) |
(* a (+ (* -1/2 (/ (* (pow b 2) c) a)) (* -3/8 (pow c 2)))) |
(* -3/8 (* a (pow c 2))) |
(* -1 (* a (+ (* 3/8 (pow c 2)) (* 1/2 (/ (* (pow b 2) c) a))))) |
(* -1 (* a (+ (* 3/8 (pow c 2)) (* 1/2 (/ (* (pow b 2) c) a))))) |
(* -1 (* a (+ (* 3/8 (pow c 2)) (* 1/2 (/ (* (pow b 2) c) a))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(* -1/2 (/ c b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(* -1/2 (/ c b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(* -3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) |
(+ (* -3 (* a b)) (* -3 (* (sqrt (* (pow a 3) c)) (sqrt -3)))) |
(+ (* -3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) (* b (+ (* -3 a) (* -3/2 (* (sqrt (/ a c)) (/ b (sqrt -3))))))) |
(+ (* -3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) (* b (+ (* -3 a) (* b (+ (* -3/2 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* 3/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3))))))))) |
(* -6 (* a b)) |
(* b (+ (* -6 a) (* 9/2 (/ (* (pow a 2) c) (pow b 2))))) |
(* b (+ (* -6 a) (+ (* 27/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 9/2 (/ (* (pow a 2) c) (pow b 2)))))) |
(* b (+ (* -6 a) (+ (* 27/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* 9/2 (/ (* (pow a 2) c) (pow b 2))) (* 81/16 (/ (* (pow a 4) (pow c 3)) (pow b 6))))))) |
(* -9/2 (/ (* (pow a 2) c) b)) |
(* -1 (/ (+ (* 27/8 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* 9/2 (* (pow a 2) c))) b)) |
(* -1 (/ (+ (* 27/8 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (+ (* 9/2 (* (pow a 2) c)) (* 81/16 (/ (* (pow a 4) (pow c 3)) (pow b 4))))) b)) |
(* -1 (/ (+ (* 3/2 (/ (* a (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4))))) (pow b 6))) (+ (* 27/8 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (+ (* 9/2 (* (pow a 2) c)) (* 81/16 (/ (* (pow a 4) (pow c 3)) (pow b 4)))))) b)) |
(* -6 (* a b)) |
(* a (+ (* -6 b) (* 9/2 (/ (* a c) b)))) |
(* a (+ (* -6 b) (* a (+ (* 27/8 (/ (* a (pow c 2)) (pow b 3))) (* 9/2 (/ c b)))))) |
(* a (+ (* -6 b) (* a (+ (* 9/2 (/ c b)) (* a (+ (* 27/8 (/ (pow c 2) (pow b 3))) (* 81/16 (/ (* a (pow c 3)) (pow b 5))))))))) |
(* -3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) |
(* (pow a 2) (+ (* -3 (* (sqrt (/ c a)) (sqrt -3))) (* -3 (/ b a)))) |
(* (pow a 2) (+ (* -3 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -3 (/ b a)) (* -3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3))))))) |
(* (pow a 2) (+ (* -3 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -3 (/ b a)) (+ (* -3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 3/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))))))) |
(* 3 (* (sqrt (* (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) |
(* (pow a 2) (+ (* -3 (/ b a)) (* 3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -3/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3 b)) a)) (* 3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -3/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 3 b)) a)) (* 3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -6 (* a b)) |
(+ (* -6 (* a b)) (* 9/2 (/ (* (pow a 2) c) b))) |
(+ (* -6 (* a b)) (* c (+ (* 27/8 (/ (* (pow a 3) c) (pow b 3))) (* 9/2 (/ (pow a 2) b))))) |
(+ (* -6 (* a b)) (* c (+ (* 9/2 (/ (pow a 2) b)) (* c (+ (* 27/8 (/ (pow a 3) (pow b 3))) (* 81/16 (/ (* (pow a 4) c) (pow b 5)))))))) |
(* -3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) |
(* c (+ (* -3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (* -3 (/ (* a b) c)))) |
(* c (+ (* -3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (+ (* -3 (/ (* a b) c)) (* -3/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3))))))) |
(* c (+ (* -3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (+ (* -3 (/ (* a b) c)) (+ (* -3/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (* 3/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))))))) |
(* 3 (* (sqrt (* (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* -3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) (* 3 (/ (* a b) c))))) |
(* -1 (* c (+ (* -3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -3 (* a b)) (* 3/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))))) |
(* -1 (* c (+ (* -3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -3 (* a b)) (* -1 (/ (+ (* -3/2 (* (sqrt (* a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3/8 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) c))) c))))) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))))) (/ 1 (* a (pow (sqrt -3) 2)))))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3))))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* a (pow (sqrt -3) 2)))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/32 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -27/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (- (+ (* -1 (/ (+ (* -3/8 (* a (pow c 2))) (* 3/4 (* a (pow c 2)))) (pow b 4))) (* 2/3 (/ 1 a))) (* 1/2 (/ c (pow b 2)))))) |
(* -1 (* b (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -3/8 (* a (pow c 2))) (* 3/4 (* a (pow c 2))))))) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* 2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (* 2/3 (/ 1 a))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 1/2 (/ c (pow b 2))) (* 3/4 (/ (* a (pow c 2)) (pow b 4)))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* a (+ (* -27/32 (/ (pow c 4) (pow b 7))) (* -27/128 (/ (pow c 4) (pow b 7)))))))))) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2))) a) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))) a) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (+ (* -1/2 (/ (pow b 3) (* a (* c (pow (sqrt -3) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))))) a) |
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (/ b (pow (sqrt 3) 2))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a))) a))) a)) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* c (+ (* -27/32 (/ (pow a 3) (pow b 7))) (* -27/128 (/ (pow a 3) (pow b 7))))))))) (* 1/2 (/ 1 b)))) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2)))) |
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (pow c 2)))) (* -1 (/ b (* a (pow (sqrt -3) 2))))) |
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (sqrt -3)))) (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4))))) (pow c 3)))) (+ (* -1 (/ b (* a (pow (sqrt -3) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))))) |
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) |
(+ (* -1 (/ b (* a (pow (sqrt 3) 2)))) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4))))) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -3 (* a c)) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* -3 (* a c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -3 (* a c)) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* -3 (* a c)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(* -3 (* a c)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
| Outputs |
|---|
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(neg.f64 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2)))) |
(-.f64 (/.f64 b (*.f64 a #s(literal -3 binary64))) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))))) (/ 1 (* a (pow (sqrt -3) 2)))))) |
(fma.f64 b (fma.f64 b (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) (neg.f64 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))))) |
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(fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 b b)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -3 binary64))))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)))) |
b |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(fma.f64 b (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)) b) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(fma.f64 b (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b))) b) |
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(fma.f64 b (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)))) b) |
(* -1 b) |
(neg.f64 b) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(neg.f64 (fma.f64 b (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)) b)) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(neg.f64 (fma.f64 b (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b))) b)) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(neg.f64 (fma.f64 b (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)))) b)) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)) b) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 a (fma.f64 (/.f64 c b) #s(literal -3/2 binary64) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b b)))) b) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) #s(literal -27/16 binary64) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) b) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(*.f64 a (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(*.f64 a (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (neg.f64 a)) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))) (neg.f64 a)) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
(neg.f64 (*.f64 a (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)) b) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 c (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 #s(literal -3/2 binary64) a) b)) b) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(fma.f64 c (fma.f64 c (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal -3/2 binary64) a) b)) b) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(*.f64 c (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64)))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(*.f64 c (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(*.f64 c (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64)))))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (neg.f64 c)) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))) (neg.f64 c)) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64))) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))))) (neg.f64 c)) |
(* -1/2 (* (pow b 2) c)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b))) |
(* c (+ (* -1/2 (pow b 2)) (* -3/8 (* a c)))) |
(*.f64 c (fma.f64 (*.f64 c a) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))) |
(* c (+ (* -1/2 (pow b 2)) (* -3/8 (* a c)))) |
(*.f64 c (fma.f64 (*.f64 c a) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))) |
(* c (+ (* -1/2 (pow b 2)) (* -3/8 (* a c)))) |
(*.f64 c (fma.f64 (*.f64 c a) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))) |
(* -3/8 (* a (pow c 2))) |
(*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) |
(* (pow c 2) (+ (* -1/2 (/ (pow b 2) c)) (* -3/8 a))) |
(*.f64 (*.f64 c c) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b b) c) (*.f64 a #s(literal -3/8 binary64)))) |
(* (pow c 2) (+ (* -1/2 (/ (pow b 2) c)) (* -3/8 a))) |
(*.f64 (*.f64 c c) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b b) c) (*.f64 a #s(literal -3/8 binary64)))) |
(* (pow c 2) (+ (* -1/2 (/ (pow b 2) c)) (* -3/8 a))) |
(*.f64 (*.f64 c c) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b b) c) (*.f64 a #s(literal -3/8 binary64)))) |
(* -3/8 (* a (pow c 2))) |
(*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) |
(* (pow c 2) (+ (* -1/2 (/ (pow b 2) c)) (* -3/8 a))) |
(*.f64 (*.f64 c c) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b b) c) (*.f64 a #s(literal -3/8 binary64)))) |
(* (pow c 2) (+ (* -1/2 (/ (pow b 2) c)) (* -3/8 a))) |
(*.f64 (*.f64 c c) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b b) c) (*.f64 a #s(literal -3/8 binary64)))) |
(* (pow c 2) (+ (* -1/2 (/ (pow b 2) c)) (* -3/8 a))) |
(*.f64 (*.f64 c c) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b b) c) (*.f64 a #s(literal -3/8 binary64)))) |
(* -3/8 (* a (pow c 2))) |
(*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) |
(+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) |
(+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) |
(+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) |
(* -1/2 (* (pow b 2) c)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b))) |
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(neg.f64 (*.f64 a (-.f64 (*.f64 c #s(literal 3 binary64)) (/.f64 (*.f64 b b) a)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(neg.f64 (*.f64 a (-.f64 (*.f64 c #s(literal 3 binary64)) (/.f64 (*.f64 b b) a)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(neg.f64 (*.f64 a (-.f64 (*.f64 c #s(literal 3 binary64)) (/.f64 (*.f64 b b) a)))) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 c a)) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 1 binary64))) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 1 binary64))) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* -3/8 (* a (pow c 2))) |
(*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) |
(* -3/8 (* a (pow c 2))) |
(*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) |
(* -3/8 (* a (pow c 2))) |
(*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) |
(* -3/8 (* a (pow c 2))) |
(*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) |
(* -3/8 (* a (pow c 2))) |
(*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) |
(* -3/8 (* a (pow c 2))) |
(*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) |
(* -3/8 (* a (pow c 2))) |
(*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) |
(* -3/8 (* a (pow c 2))) |
(*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) |
(* -3/8 (* a (pow c 2))) |
(*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) |
(* -3/8 (* a (pow c 2))) |
(*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) |
(* -3/8 (* a (pow c 2))) |
(*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) |
(* -3/8 (* a (pow c 2))) |
(*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) |
(* -3/8 (* a (pow c 2))) |
(*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) |
(* -3/8 (* a (pow c 2))) |
(*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) |
(* -3/8 (* a (pow c 2))) |
(*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) |
(* -3/8 (* a (pow c 2))) |
(*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) |
(* -3/8 (* a (pow c 2))) |
(*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) |
(* -3/8 (* a (pow c 2))) |
(*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) |
(* -3/8 (* a (pow c 2))) |
(*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) |
(* -3/8 (* a (pow c 2))) |
(*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) |
(* -3/8 (* a (pow c 2))) |
(*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) |
(* -3/8 (* a (pow c 2))) |
(*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) |
(* -3/8 (* a (pow c 2))) |
(*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) |
(* -3/8 (* a (pow c 2))) |
(*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) |
| 5 958× | lower-/.f32 |
| 5 944× | lower-/.f64 |
| 5 296× | lower-*.f32 |
| 5 268× | lower-*.f64 |
| 3 958× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 464 |
| 0 | 95 | 431 |
| 1 | 369 | 400 |
| 2 | 2740 | 400 |
| 0 | 9575 | 395 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) |
#s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) |
(*.f64 #s(literal 3 binary64) (*.f64 a c)) |
(/.f64 #s(literal -1/2 binary64) (/.f64 b c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
(/.f64 b c) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b)) |
(/.f64 #s(literal 1/3 binary64) a) |
(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b) |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))))) |
#s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b)))) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))) |
(*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))) |
(-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) |
(*.f64 b b) |
(*.f64 c (*.f64 a #s(literal -3 binary64))) |
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) |
(*.f64 c (*.f64 b b)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal -3 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal -3 binary64)))) (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal -3 binary64))))) |
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))))))) |
(/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))))) |
(/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))))) (neg.f64 (*.f64 a #s(literal -3 binary64)))) |
(/.f64 (neg.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal -3 binary64)))) |
(/.f64 (/.f64 (neg.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))))) (*.f64 a #s(literal -3 binary64))) |
(/.f64 (/.f64 (neg.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))))) (neg.f64 (neg.f64 (*.f64 a #s(literal -3 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (*.f64 #s(literal 3 binary64) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))))) #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))))) #s(literal 1/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (*.f64 #s(literal 3 binary64) a)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))))) #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (*.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))))) #s(literal 1/3 binary64))))) |
(/.f64 (*.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))))) #s(literal 1/3 binary64)) a) |
(/.f64 (*.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))))) |
(/.f64 (*.f64 (neg.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #s(literal 1 binary64)) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal -3 binary64)))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (neg.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal -3 binary64))))) |
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(/.f64 (*.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))))) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) a)) |
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(/.f64 (neg.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 27 binary64)) (*.f64 c (*.f64 c c))))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 b b (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (fma.f64 b b (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (neg.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 27 binary64)) (*.f64 c (*.f64 c c)))) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 27 binary64)) (*.f64 c (*.f64 c c)))))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 b b (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 b b (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 27 binary64)) (*.f64 c (*.f64 c c)))) (*.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (fma.f64 b b (*.f64 (*.f64 #s(literal 3 binary64) a) c))))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 b b (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 b b (*.f64 (*.f64 #s(literal 3 binary64) a) c))))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (fma.f64 b b (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 27 binary64)) (*.f64 c (*.f64 c c)))))) (sqrt.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 b b (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (fma.f64 b b (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (*.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (fma.f64 b b (*.f64 (*.f64 #s(literal 3 binary64) a) c))))) (sqrt.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (fma.f64 b b (*.f64 (*.f64 #s(literal 3 binary64) a) c))))) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 27 binary64)) (*.f64 c (*.f64 c c)))))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 b b (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (fma.f64 b b (*.f64 (*.f64 #s(literal 3 binary64) a) c))))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 27 binary64)) (*.f64 c (*.f64 c c)))) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 b b (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (fma.f64 b b (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 (neg.f64 b) b))) (*.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 (neg.f64 b) b)) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 (neg.f64 b) b)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 (neg.f64 b) b)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 b b (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 b b (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 27 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 b b (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 b b (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (*.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))))) (*.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (fma.f64 b b (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))))) (neg.f64 (neg.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 (neg.f64 b) b))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 27 binary64)) (*.f64 c (*.f64 c c)))))) (neg.f64 (neg.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 (neg.f64 b) b))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 27 binary64)) (*.f64 c (*.f64 c c)))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 27 binary64)) (*.f64 c (*.f64 c c)))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 b b (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (fma.f64 b b (*.f64 (*.f64 #s(literal 3 binary64) a) c))))) (neg.f64 (neg.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal 3 binary64) a) c))))) |
(pow.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 (neg.f64 b) b)))) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 27 binary64)) (*.f64 c (*.f64 c c))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c)))) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 27 binary64)) (*.f64 c (*.f64 c c))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 (neg.f64 b) b)) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 b b (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 27 binary64)) (*.f64 c (*.f64 c c))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (*.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (fma.f64 b b (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #s(literal -1 binary64)) |
(*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) |
(*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 27 binary64)) (*.f64 c (*.f64 c c)))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 (neg.f64 b) b)))))) |
(*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 27 binary64)) (*.f64 c (*.f64 c c)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c)))))) |
(*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 27 binary64)) (*.f64 c (*.f64 c c)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 b b (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 (neg.f64 b) b)))) |
(*.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (fma.f64 b b (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 27 binary64)) (*.f64 c (*.f64 c c)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 (neg.f64 b) b))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 27 binary64)) (*.f64 c (*.f64 c c)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 27 binary64)) (*.f64 c (*.f64 c c)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 b b (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 (neg.f64 b) b))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (fma.f64 b b (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #s(literal 1 binary64))) |
(*.f64 b (*.f64 b c)) |
(*.f64 c (*.f64 b b)) |
(*.f64 (*.f64 b b) c) |
(*.f64 (*.f64 b c) b) |
(*.f64 a (*.f64 (*.f64 c c) #s(literal -3/8 binary64))) |
(*.f64 (*.f64 a c) (*.f64 c #s(literal -3/8 binary64))) |
(*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) |
(*.f64 (*.f64 c c) (*.f64 a #s(literal -3/8 binary64))) |
(*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) |
(*.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 c c)) |
(*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a c)) c) |
(*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) a) |
(*.f64 (*.f64 (*.f64 a #s(literal -3/8 binary64)) c) c) |
Compiled 84 835 to 4 445 computations (94.8% saved)
35 alts after pruning (29 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 207 | 16 | 2 223 |
| Fresh | 12 | 13 | 25 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 3 | 4 |
| Total | 2 222 | 35 | 2 257 |
| Status | Accuracy | Program |
|---|---|---|
| 18.9% | (fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 b))) | |
| 17.6% | (/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b) a) #s(literal 3 binary64)) | |
| 99.2% | (/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (*.f64 a (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))))) #s(literal 3 binary64)) | |
| ✓ | 99.2% | (/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) |
| 17.7% | (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) (*.f64 a #s(literal 3 binary64))) | |
| 17.6% | (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b)) a) | |
| 90.1% | (/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b b))) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 90.2% | (/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b b))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 99.4% | (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))))) | |
| 17.4% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a))) | |
| 17.6% | (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b) a) #s(literal 1/3 binary64)) | |
| 99.2% | (*.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (*.f64 a (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))))) #s(literal 1/3 binary64)) | |
| 99.2% | (*.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))))))) | |
| 17.6% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b)) | |
| 19.2% | (*.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) #s(literal 1/3 binary64) (*.f64 (neg.f64 b) #s(literal 1/3 binary64)))) | |
| 17.5% | (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (*.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) #s(literal 1/3 binary64)) (*.f64 (neg.f64 b) #s(literal 1/3 binary64)))) | |
| 90.2% | (*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a c)) b))) | |
| ✓ | 17.6% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b)) |
| 12.2% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)) b)) b)) | |
| 90.1% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (- (sqrt (- (* b b) (* (* 3 a) c))) b) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b))))) | |
| 99.3% | (*.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))))))) | |
| 17.6% | (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b))) | |
| 95.0% | #s(approx (/ (/ (- (* b b) (- (* b b) (* (* 3 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 3 a) c))))) (* 3 a)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) | |
| 90.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c))) | |
| 95.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (+ (* -1/6 (/ (* (* a (* a (* a a))) (* (* c c) (* (* c c) 405/64))) (* (* (* b (* b b)) (* b (* b b))) a))) (* c -1/2)) (+ (* (* c c) (* a (/ -3/8 (* b b)))) (/ (* (* c (* (* c c) -9/16)) (* a a)) (* b (* b (* b b)))))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal -1/2 binary64)))) b)) | |
| ✓ | 90.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
| 90.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b))) | |
| ✓ | 90.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c)) |
| ✓ | 94.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))) |
| 94.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c #s(approx (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)) b)))) | |
| 94.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c #s(approx (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b)) (*.f64 (neg.f64 a) (fma.f64 #s(literal 3/8 binary64) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))))))) | |
| ✓ | 90.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
| 94.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 #s(approx (+ (* -1/2 (* c (* b b))) (* -3/8 (* a (* c c)))) (*.f64 c (fma.f64 (*.f64 c a) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))))) (*.f64 b (*.f64 b b))))) | |
| 90.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 #s(approx (+ (* -1/2 (* c (* b b))) (* -3/8 (* a (* c c)))) (*.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)))) (*.f64 b (*.f64 b b))))) | |
| 94.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b)))))) |
Compiled 3 446 to 900 computations (73.9% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 #s(approx (+ (* -1/2 (* c (* b b))) (* -3/8 (* a (* c c)))) (*.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)))) (*.f64 b (*.f64 b b))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (- (sqrt (- (* b b) (* (* 3 a) c))) b) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a c)) b))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b b))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b b))) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)) b)) b)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(approx (- (sqrt (- (* b b) (* (* 3 a) c))) b) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c #s(approx (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* a a) (* (/ (* c (* c c)) (pow b 4)) -9/16)) (+ (* c -1/2) (+ (* -1/6 (/ (* (pow a 4) (* (pow c 4) 405/64)) (* a (pow b 6)))) (/ (* (* a (* c c)) -3/8) (* b b))))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (+ (* -1/6 (/ (* (* a (* a (* a a))) (* (* c c) (* (* c c) 405/64))) (* (* (* b (* b b)) (* b (* b b))) a))) (* c -1/2)) (+ (* (* c c) (* a (/ -3/8 (* b b)))) (/ (* (* c (* (* c c) -9/16)) (* a a)) (* b (* b (* b b)))))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal -1/2 binary64)))) b)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 #s(approx (+ (* -1/2 (* c (* b b))) (* -3/8 (* a (* c c)))) (*.f64 c (fma.f64 (*.f64 c a) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))))) (*.f64 b (*.f64 b b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c #s(approx (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) (*.f64 #s(literal -3/8 binary64) (*.f64 c a))) (*.f64 b (*.f64 b b)))))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) |
#s(approx (/ (/ (- (* b b) (- (* b b) (* (* 3 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 3 a) c))))) (* 3 a)) (/.f64 (fma.f64 #s(literal -1/2 binary64) c (/.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c c)) (*.f64 b b))) b)) |
#s(approx (/ (/ (- (* b b) (- (* b b) (* (* 3 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 3 a) c))))) (* 3 a)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b)) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))))) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 c (/.f64 #s(literal -1/2 binary64) b) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c #s(approx (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b)) (*.f64 (neg.f64 a) (fma.f64 #s(literal 3/8 binary64) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) #s(literal 1/3 binary64) (*.f64 (neg.f64 b) #s(literal 1/3 binary64)))) |
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (*.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) #s(literal 1/3 binary64)) (*.f64 (neg.f64 b) #s(literal 1/3 binary64)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c)))))) (*.f64 #s(literal 3 binary64) a)) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 b))) |
(*.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (*.f64 a (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))))) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))))) |
(*.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b)))) |
(/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (*.f64 a (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))))) #s(literal 3 binary64)) |
(*.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))))))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 a (fma.f64 (/.f64 c b) #s(literal -3/2 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9/8 binary64)) (*.f64 b (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (*.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64))))))))) |
(/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))) |
(*.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))))) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) |
(/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64))))))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 c (fma.f64 c (*.f64 (*.f64 a a) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 b b)))))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 a (fma.f64 a #s(approx (+ (* (* c c) -9/2) (+ (* -27/16 (/ (* a (* c (* c c))) (* b b))) (* 9/8 (* c c)))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal -27/8 binary64)))) (*.f64 #s(literal -3/2 binary64) (*.f64 c (*.f64 b b)))))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (fma.f64 (*.f64 b (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -9 binary64) (*.f64 a (*.f64 a (*.f64 c c))))))) (/.f64 b (*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal 3 binary64))))))) (neg.f64 (*.f64 b #s(literal 1 binary64)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (fma.f64 (*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -9 binary64) (*.f64 a (*.f64 a (*.f64 c c))))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal 3 binary64))))))) (neg.f64 (*.f64 b #s(literal 1 binary64)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -9 binary64) (*.f64 a (*.f64 a (*.f64 c c)))))) (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal 3 binary64))))))) (/.f64 (*.f64 b b) b) (neg.f64 (*.f64 b #s(literal 1 binary64)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal 3 binary64))))))) (/.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -9 binary64) (*.f64 a (*.f64 a (*.f64 c c)))))) b) (neg.f64 (*.f64 b #s(literal 1 binary64)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (fma.f64 (/.f64 (*.f64 b (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -9 binary64) (*.f64 a (*.f64 a (*.f64 c c))))))) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal 3 binary64)))))) (/.f64 b (*.f64 b b)) (neg.f64 (*.f64 b #s(literal 1 binary64)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (fma.f64 (/.f64 (*.f64 b (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -9 binary64) (*.f64 a (*.f64 a (*.f64 c c))))))) (*.f64 b b)) (/.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal 3 binary64)))))) (neg.f64 (*.f64 b #s(literal 1 binary64)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 a (fma.f64 a (fma.f64 (*.f64 c c) #s(literal -9/2 binary64) (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (*.f64 #s(literal 9/8 binary64) (*.f64 c c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 c (*.f64 b b)))))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 c (fma.f64 c (fma.f64 (*.f64 a a) #s(literal -9/2 binary64) (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 #s(literal 9/8 binary64) (*.f64 a a)))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 b b)))))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) b) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (*.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -9 binary64) (*.f64 a (*.f64 a (*.f64 c c)))))) (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal 3 binary64)))))))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal 3 binary64)))))) b) (*.f64 b b) (*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -9 binary64) (*.f64 a (*.f64 a (*.f64 c c)))))))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* a a) (* (/ (* c (* c c)) (pow b 4)) -9/16)) (+ (* c -1/2) (+ (* -1/6 (/ (* (pow a 4) (* (pow c 4) 405/64)) (* a (pow b 6)))) (/ (* (* a (* c c)) -3/8) (* b b))))) (*.f64 c (fma.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/2 binary64)))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 c (fma.f64 (*.f64 a a) (*.f64 (/.f64 c (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) #s(approx (+ (* (* c c) (* a (/ -3/8 (* b b)))) (/ (* (* c (* (* c c) -9/16)) (* a a)) (* b (* b (* b b))))) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c c) (/.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 b b))) (*.f64 b b)))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64)))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -9/16 binary64) a) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 a a) (fma.f64 a (*.f64 (*.f64 c c) (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) a)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) b)) |
(/.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))))) (*.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (fma.f64 b b #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))))))) |
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (fma.f64 b b #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (+.f64 #s(approx (+ (* -1/6 (/ (* (* a (* a (* a a))) (* (* c c) (* (* c c) 405/64))) (* (* (* b (* b b)) (* b (* b b))) a))) (* c -1/2)) (*.f64 c (fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/2 binary64)))) (fma.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* a a) (* (/ (* c (* c c)) (pow b 4)) -9/16)) (+ (* c -1/2) (+ (* -1/6 (/ (* (pow a 4) (* (pow c 4) 405/64)) (* a (pow b 6)))) (/ (* (* a (* c c)) -3/8) (* b b))))) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 c (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 6 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b)))) #s(literal -1/2 binary64)))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64)) #s(approx (+ (* c -1/2) (+ (* -1/6 (/ (* (pow a 4) (* (pow c 4) 405/64)) (* a (pow b 6)))) (/ (* (* a (* c c)) -3/8) (* b b)))) (*.f64 c (fma.f64 c (fma.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 6 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b)))) #s(literal -1/2 binary64))))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 a b)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* a a) (* (/ (* c (* c c)) (pow b 4)) -9/16)) (+ (* c -1/2) (+ (* -1/6 (/ (* (pow a 4) (* (pow c 4) 405/64)) (* a (pow b 6)))) (/ (* (* a (* c c)) -3/8) (* b b))))) (*.f64 (pow.f64 c #s(literal 4 binary64)) (fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 6 binary64))) (-.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a a) (*.f64 (pow.f64 b #s(literal 4 binary64)) c)) (/.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 (*.f64 c c) (*.f64 b b)))) (/.f64 #s(literal 1/2 binary64) (*.f64 c (*.f64 c c))))))) b)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64)) (fma.f64 c #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b b))))) b)) |
| Outputs |
|---|
(/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))))) |
5 calls:
| 110.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 40.0ms | b |
| 32.0ms | c |
| 26.0ms | (*.f64 #s(literal 3 binary64) a) |
| 25.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | a |
| 99.4% | 1 | b |
| 99.4% | 1 | c |
| 99.4% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 99.4% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 38 to 26 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 #s(approx (+ (* -1/2 (* c (* b b))) (* -3/8 (* a (* c c)))) (*.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)))) (*.f64 b (*.f64 b b))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (- (sqrt (- (* b b) (* (* 3 a) c))) b) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a c)) b))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b b))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b b))) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)) b)) b)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(approx (- (sqrt (- (* b b) (* (* 3 a) c))) b) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c #s(approx (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* a a) (* (/ (* c (* c c)) (pow b 4)) -9/16)) (+ (* c -1/2) (+ (* -1/6 (/ (* (pow a 4) (* (pow c 4) 405/64)) (* a (pow b 6)))) (/ (* (* a (* c c)) -3/8) (* b b))))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (+ (* -1/6 (/ (* (* a (* a (* a a))) (* (* c c) (* (* c c) 405/64))) (* (* (* b (* b b)) (* b (* b b))) a))) (* c -1/2)) (+ (* (* c c) (* a (/ -3/8 (* b b)))) (/ (* (* c (* (* c c) -9/16)) (* a a)) (* b (* b (* b b)))))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal -1/2 binary64)))) b)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 #s(approx (+ (* -1/2 (* c (* b b))) (* -3/8 (* a (* c c)))) (*.f64 c (fma.f64 (*.f64 c a) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))))) (*.f64 b (*.f64 b b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c #s(approx (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) (*.f64 #s(literal -3/8 binary64) (*.f64 c a))) (*.f64 b (*.f64 b b)))))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) |
#s(approx (/ (/ (- (* b b) (- (* b b) (* (* 3 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 3 a) c))))) (* 3 a)) (/.f64 (fma.f64 #s(literal -1/2 binary64) c (/.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c c)) (*.f64 b b))) b)) |
#s(approx (/ (/ (- (* b b) (- (* b b) (* (* 3 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 3 a) c))))) (* 3 a)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b)) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))))) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 c (/.f64 #s(literal -1/2 binary64) b) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c #s(approx (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b)) (*.f64 (neg.f64 a) (fma.f64 #s(literal 3/8 binary64) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) #s(literal 1/3 binary64) (*.f64 (neg.f64 b) #s(literal 1/3 binary64)))) |
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (*.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) #s(literal 1/3 binary64)) (*.f64 (neg.f64 b) #s(literal 1/3 binary64)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c)))))) (*.f64 #s(literal 3 binary64) a)) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 b))) |
(*.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (*.f64 a (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))))) #s(literal 1/3 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (*.f64 a (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))))) #s(literal 1/3 binary64)) |
5 calls:
| 15.0ms | b |
| 15.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 15.0ms | (*.f64 #s(literal 3 binary64) a) |
| 14.0ms | a |
| 13.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | a |
| 99.2% | 1 | b |
| 99.2% | 1 | c |
| 99.2% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 99.2% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 38 to 26 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 #s(approx (+ (* -1/2 (* c (* b b))) (* -3/8 (* a (* c c)))) (*.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)))) (*.f64 b (*.f64 b b))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (- (sqrt (- (* b b) (* (* 3 a) c))) b) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a c)) b))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b b))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b b))) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)) b)) b)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(approx (- (sqrt (- (* b b) (* (* 3 a) c))) b) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c #s(approx (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* a a) (* (/ (* c (* c c)) (pow b 4)) -9/16)) (+ (* c -1/2) (+ (* -1/6 (/ (* (pow a 4) (* (pow c 4) 405/64)) (* a (pow b 6)))) (/ (* (* a (* c c)) -3/8) (* b b))))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (+ (* -1/6 (/ (* (* a (* a (* a a))) (* (* c c) (* (* c c) 405/64))) (* (* (* b (* b b)) (* b (* b b))) a))) (* c -1/2)) (+ (* (* c c) (* a (/ -3/8 (* b b)))) (/ (* (* c (* (* c c) -9/16)) (* a a)) (* b (* b (* b b)))))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal -1/2 binary64)))) b)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 #s(approx (+ (* -1/2 (* c (* b b))) (* -3/8 (* a (* c c)))) (*.f64 c (fma.f64 (*.f64 c a) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))))) (*.f64 b (*.f64 b b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c #s(approx (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) (*.f64 #s(literal -3/8 binary64) (*.f64 c a))) (*.f64 b (*.f64 b b)))))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) |
#s(approx (/ (/ (- (* b b) (- (* b b) (* (* 3 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 3 a) c))))) (* 3 a)) (/.f64 (fma.f64 #s(literal -1/2 binary64) c (/.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c c)) (*.f64 b b))) b)) |
#s(approx (/ (/ (- (* b b) (- (* b b) (* (* 3 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 3 a) c))))) (* 3 a)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b)) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))))) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 c (/.f64 #s(literal -1/2 binary64) b) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c #s(approx (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b)) (*.f64 (neg.f64 a) (fma.f64 #s(literal 3/8 binary64) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) #s(literal 1/3 binary64) (*.f64 (neg.f64 b) #s(literal 1/3 binary64)))) |
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (*.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) #s(literal 1/3 binary64)) (*.f64 (neg.f64 b) #s(literal 1/3 binary64)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c)))))) (*.f64 #s(literal 3 binary64) a)) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 b))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) |
5 calls:
| 22.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 14.0ms | a |
| 14.0ms | b |
| 14.0ms | (*.f64 #s(literal 3 binary64) a) |
| 13.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.0% | 1 | a |
| 95.0% | 1 | b |
| 95.0% | 1 | c |
| 95.0% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 95.0% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 38 to 26 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 #s(approx (+ (* -1/2 (* c (* b b))) (* -3/8 (* a (* c c)))) (*.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)))) (*.f64 b (*.f64 b b))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (- (sqrt (- (* b b) (* (* 3 a) c))) b) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a c)) b))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b b))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b b))) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)) b)) b)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(approx (- (sqrt (- (* b b) (* (* 3 a) c))) b) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c #s(approx (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* a a) (* (/ (* c (* c c)) (pow b 4)) -9/16)) (+ (* c -1/2) (+ (* -1/6 (/ (* (pow a 4) (* (pow c 4) 405/64)) (* a (pow b 6)))) (/ (* (* a (* c c)) -3/8) (* b b))))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (+ (* -1/6 (/ (* (* a (* a (* a a))) (* (* c c) (* (* c c) 405/64))) (* (* (* b (* b b)) (* b (* b b))) a))) (* c -1/2)) (+ (* (* c c) (* a (/ -3/8 (* b b)))) (/ (* (* c (* (* c c) -9/16)) (* a a)) (* b (* b (* b b)))))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal -1/2 binary64)))) b)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 #s(approx (+ (* -1/2 (* c (* b b))) (* -3/8 (* a (* c c)))) (*.f64 c (fma.f64 (*.f64 c a) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))))) (*.f64 b (*.f64 b b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c #s(approx (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) (*.f64 #s(literal -3/8 binary64) (*.f64 c a))) (*.f64 b (*.f64 b b)))))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* a a) (* (/ (* c (* c c)) (pow b 4)) -9/16)) (+ (* c -1/2) (+ (* -1/6 (/ (* (pow a 4) (* (pow c 4) 405/64)) (* a (pow b 6)))) (/ (* (* a (* c c)) -3/8) (* b b))))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b)) |
5 calls:
| 9.0ms | a |
| 9.0ms | c |
| 8.0ms | b |
| 8.0ms | (*.f64 #s(literal 3 binary64) a) |
| 7.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.0% | 1 | a |
| 95.0% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 95.0% | 1 | b |
| 95.0% | 1 | c |
| 95.0% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
Compiled 38 to 26 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 #s(approx (+ (* -1/2 (* c (* b b))) (* -3/8 (* a (* c c)))) (*.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)))) (*.f64 b (*.f64 b b))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (- (sqrt (- (* b b) (* (* 3 a) c))) b) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a c)) b))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b b))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b b))) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)) b)) b)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(approx (- (sqrt (- (* b b) (* (* 3 a) c))) b) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c #s(approx (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)) b)))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c #s(approx (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)) b)))) |
5 calls:
| 18.0ms | (*.f64 #s(literal 3 binary64) a) |
| 4.0ms | c |
| 4.0ms | b |
| 4.0ms | a |
| 4.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.7% | 1 | a |
| 94.7% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 94.7% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 94.7% | 1 | b |
| 94.7% | 1 | c |
Compiled 38 to 26 computations (31.6% saved)
Total -50.2b remaining (-837.8%)
Threshold costs -50.2b (-837.8%)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) (/.f64 #s(approx (+ (* -1/2 (* c (* b b))) (* -3/8 (* a (* c c)))) (*.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)))) (*.f64 b (*.f64 b b))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (- (sqrt (- (* b b) (* (* 3 a) c))) b) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a c)) b))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b b))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b b))) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)) b)) b)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(approx (- (sqrt (- (* b b) (* (* 3 a) c))) b) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) #s(literal 1/3 binary64))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
5 calls:
| 5.0ms | a |
| 4.0ms | (*.f64 #s(literal 3 binary64) a) |
| 4.0ms | b |
| 4.0ms | c |
| 4.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.6% | 1 | a |
| 90.6% | 1 | b |
| 90.6% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 90.6% | 1 | c |
| 90.6% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
Compiled 38 to 26 computations (31.6% saved)
| 1× | egg-herbie |
| 56× | *-commutative_binary64 |
| 32× | neg-sub0_binary64 |
| 32× | neg-mul-1_binary64 |
| 30× | +-commutative_binary64 |
| 28× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 86 | 279 |
| 1 | 104 | 279 |
| 2 | 111 | 279 |
| 3 | 127 | 279 |
| 4 | 152 | 279 |
| 5 | 177 | 279 |
| 6 | 198 | 279 |
| 7 | 210 | 279 |
| 8 | 215 | 279 |
| 9 | 216 | 279 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))))) |
(*.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (*.f64 a (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))))) #s(literal 1/3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* a a) (* (/ (* c (* c c)) (pow b 4)) -9/16)) (+ (* c -1/2) (+ (* -1/6 (/ (* (pow a 4) (* (pow c 4) 405/64)) (* a (pow b 6)))) (/ (* (* a (* c c)) -3/8) (* b b))))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c #s(approx (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
| Outputs |
|---|
(/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))))) |
(/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 c (*.f64 #s(literal 3 binary64) a))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))))) |
(*.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (*.f64 a (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))))) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 c (*.f64 #s(literal 3 binary64) a))) (*.f64 a (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))))) #s(literal 1/3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* a a) (* (/ (* c (* c c)) (pow b 4)) -9/16)) (+ (* c -1/2) (+ (* -1/6 (/ (* (pow a 4) (* (pow c 4) 405/64)) (* a (pow b 6)))) (/ (* (* a (* c c)) -3/8) (* b b))))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c #s(approx (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
| 11 360× | lower-fma.f64 |
| 11 360× | lower-fma.f32 |
| 7 974× | lower-*.f64 |
| 7 974× | lower-*.f32 |
| 6 828× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 524 |
| 0 | 135 | 486 |
| 1 | 505 | 457 |
| 2 | 4019 | 426 |
| 0 | 8356 | 418 |
| 0 | 470 | 2458 |
| 1 | 1445 | 2441 |
| 2 | 4896 | 2418 |
| 0 | 8064 | 2302 |
| 0 | 1886 | 20255 |
| 1 | 6186 | 20144 |
| 0 | 8124 | 19450 |
| 0 | 61 | 464 |
| 0 | 95 | 431 |
| 1 | 369 | 400 |
| 2 | 2740 | 400 |
| 0 | 9575 | 395 |
| 0 | 2273 | 21719 |
| 1 | 6360 | 21429 |
| 0 | 8088 | 20720 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 247 to 130 computations (47.4% saved)
Compiled 252 to 96 computations (61.9% saved)
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