
Time bar (total: 12.8s)
| 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)
| 1.2s | 5 255× | 1 | valid |
| 400.0ms | 3 001× | 0 | valid |
| 144.0ms | 1 183× | 0 | invalid |
ival-mult: 255.0ms (18.9% of total)const: 218.0ms (16.2% of total)ival-sqrt: 193.0ms (14.3% of total)adjust: 170.0ms (12.6% of total)ival-<: 142.0ms (10.5% of total)ival-div: 108.0ms (8% of total)ival-add: 80.0ms (5.9% of total)ival-sub: 72.0ms (5.3% of total)ival-neg: 66.0ms (4.9% of total)ival-and: 32.0ms (2.4% of total)exact: 10.0ms (0.7% of total)ival-assert: 3.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 241 | 1 | (0.0038982110698887536 71845624.39580974 6626729667989641.0) | 0 | - | (+.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 | 242 | 3 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 242 | 1 |
| - | 0 | 13 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 242 | 1 | 0 |
| - | 0 | 2 | 11 |
| number | freq |
|---|---|
| 0 | 14 |
| 1 | 242 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 70.0ms | 346× | 1 | valid |
| 16.0ms | 166× | 0 | valid |
Compiled 156 to 40 computations (74.4% saved)
ival-add: 19.0ms (30.8% of total)ival-mult: 15.0ms (24.3% of total)adjust: 6.0ms (9.7% of total)ival-div: 6.0ms (9.7% of total)ival-sqrt: 6.0ms (9.7% of total)ival-neg: 5.0ms (8.1% of total)ival-sub: 4.0ms (6.5% 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 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
Compiled 20 to 12 computations (40% saved)
Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 30.3% | (/.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 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 3 binary64) a) c) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(*.f64 #s(literal 3 binary64) a) |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
a |
c |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.13671875 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | |
| accuracy | 0.265625 | (*.f64 (*.f64 #s(literal 3 binary64) a) c) | |
| accuracy | 0.4264450195368841 | (/.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 | 44.54867370714094 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
| 35.0ms | 173× | 1 | valid |
| 8.0ms | 83× | 0 | valid |
Compiled 68 to 14 computations (79.4% saved)
ival-add: 12.0ms (40.9% of total)ival-mult: 5.0ms (17% of total)adjust: 3.0ms (10.2% of total)ival-div: 3.0ms (10.2% of total)ival-sqrt: 3.0ms (10.2% of total)ival-sub: 2.0ms (6.8% of total)ival-neg: 1.0ms (3.4% 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 | |
|---|---|---|---|---|
| 5.0ms | b | @ | 0 | (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) |
| 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 | 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 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)) (neg.f64 b)) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) #s(literal -1 binary64)) b (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)))) |
(+ (* 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 (fma.f64 (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) a) c) a) a)))) #s(literal 1/24 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64))) b #s(literal -1 binary64)) b (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)))) |
(* -3/2 (/ (* a c) b)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))) 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 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (*.f64 b b))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) a) c) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/16 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 c a)))) 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 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) a) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (*.f64 b b))) (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))))) b) |
(* -2 b) |
(*.f64 #s(literal -2 binary64) b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(*.f64 (neg.f64 b) (fma.f64 (*.f64 #s(literal -3/2 binary64) 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 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/8 binary64) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 2 binary64)))) |
(* -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 (neg.f64 b) (fma.f64 (*.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) a) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/8 binary64) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 2 binary64))))) |
(* -3/2 (/ (* a c) b)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 c (/.f64 c (*.f64 (*.f64 b b) b))) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal -27/16 binary64)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a) |
(* 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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(+ (* -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))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1/3 binary64) (/.f64 b 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))))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) c) a))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1/3 binary64) (/.f64 b 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)))))) |
(fma.f64 #s(literal 1/72 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) c) (*.f64 c c)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) c) a))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.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 #s(literal -1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 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))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 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))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/3 binary64) b (/.f64 (fma.f64 #s(literal 1/72 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) a) c))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 a c)))) (neg.f64 a))) (neg.f64 a))) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* 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 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/3 binary64))) 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 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) a) c) a) a))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/3 binary64)))) 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 (fma.f64 #s(literal 1/72 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 5 binary64))))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) a) c) a) a))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/3 binary64))))) c) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.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 (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 b (*.f64 c a))) #s(literal -1/3 binary64)) 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 (neg.f64 c) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) c) a))) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) (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 (neg.f64 c) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (/.f64 (fma.f64 #s(literal -1/72 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c (*.f64 (*.f64 a a) a))))) (neg.f64 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 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
| 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 (/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (fma.f64 (*.f64 b b) b (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))) |
(*.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 b b) b)) (-.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) |
(*.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 b b) b)) (fma.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) b)) b (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) (fma.f64 (*.f64 (*.f64 b b) b) b (fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 b b))))) |
(*.f64 (/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 b b) b))) |
(*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(*.f64 (fma.f64 (*.f64 b b) b (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))) |
(*.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(*.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) |
(*.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))) #s(literal 1 binary64))) |
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(/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) (*.f64 (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a) (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 c a) #s(literal 9 binary64)) c) a (*.f64 (*.f64 (*.f64 b b) b) b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 c a) #s(literal 9 binary64)) c) a (*.f64 (*.f64 (*.f64 b b) b) b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a) (fma.f64 (*.f64 b b) b (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a)) |
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 c a) #s(literal 9 binary64)) c) a (*.f64 (*.f64 (*.f64 b b) b) b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a) (fma.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b)))) |
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)) (neg.f64 a)) |
(/.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a))) |
(/.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal -3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(/.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (fma.f64 (*.f64 b b) b (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (neg.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a))) |
(/.f64 (fma.f64 (*.f64 b b) b (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (*.f64 (*.f64 #s(literal -3 binary64) a) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) |
(/.f64 (fma.f64 (*.f64 b b) b (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (*.f64 (*.f64 a #s(literal 3 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (neg.f64 (neg.f64 a))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -3 binary64) a)) |
(/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 #s(literal -3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal -3 binary64) a))) |
(/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal -3 binary64) a))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 b b) b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 #s(literal -3 binary64) a) (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 b b) b)) (*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))) (*.f64 #s(literal -3 binary64) a))) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a)))) |
(neg.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) b)) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) b (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a) (*.f64 b (/.f64 #s(literal 1/3 binary64) a))) |
(fma.f64 b (/.f64 #s(literal 1/3 binary64) a) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a))) |
(-.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a)) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -3 binary64) a)) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a))) |
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) (/.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 a #s(literal 3 binary64)))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal 3 binary64))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a))) |
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (*.f64 b (/.f64 #s(literal 1/3 binary64) a))) |
(+.f64 (*.f64 b (/.f64 #s(literal 1/3 binary64) a)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) b)) |
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) b) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(*.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1 binary64) b) |
(*.f64 #s(literal 1 binary64) b) |
(*.f64 (*.f64 (*.f64 b b) b) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 b #s(literal -1 binary64)) |
(*.f64 b #s(literal 1 binary64)) |
(pow.f64 b #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 b b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 (*.f64 b b) b))) |
(/.f64 (*.f64 (*.f64 b b) b) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) #s(literal 0 binary64)))) |
(/.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)) |
(/.f64 (*.f64 b b) b) |
(neg.f64 b) |
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) #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 (*.f64 (*.f64 b b) b) (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) #s(literal 0 binary64)) |
(fma.f64 b #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 b #s(literal 1 binary64) #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) b) b) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b b)) b) |
(-.f64 #s(literal 0 binary64) b) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64))) |
(+.f64 #s(literal 0 binary64) b) |
(+.f64 b #s(literal 0 binary64)) |
b |
(*.f64 (*.f64 c #s(literal 3 binary64)) a) |
(*.f64 (*.f64 c a) #s(literal 3 binary64)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(*.f64 (*.f64 a #s(literal 3 binary64)) c) |
(*.f64 a (*.f64 c #s(literal 3 binary64))) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
Compiled 20 413 to 1 854 computations (90.9% saved)
34 alts after pruning (34 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 520 | 34 | 554 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 521 | 34 | 555 |
| Status | Accuracy | Program |
|---|---|---|
| 30.2% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 b b) b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) | |
| 29.7% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 29.9% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 c a)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 (*.f64 b b) b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) | |
| 29.9% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 c a)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b))) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 30.3% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) | |
| 30.3% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) | |
| 30.3% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| 30.2% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| 30.3% | (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))) (*.f64 #s(literal 3 binary64) a)) | |
| 30.3% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64)) | |
| 30.3% | (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) | |
| 90.5% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 94.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) a) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (*.f64 b b))) (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 94.7% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 a a) (/.f64 a (pow.f64 b #s(literal 5 binary64)))) #s(literal -27/16 binary64))) c (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 93.1% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (/.f64 c (pow.f64 b #s(literal 5 binary64))) #s(literal -27/16 binary64)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 90.5% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 c (/.f64 c (*.f64 (*.f64 b b) b))) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 81.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 30.3% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| 30.3% | (/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a)) | |
| ▶ | 29.7% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
| 30.3% | (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) | |
| 30.3% | (*.f64 (/.f64 (*.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| 30.3% | (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| 30.3% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| 28.5% | (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a))) | |
| ▶ | 95.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
| 93.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| 91.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 (*.f64 b b) b))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| 93.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) a) c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b)) | |
| ▶ | 91.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b)) |
| 95.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| ▶ | 93.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
| 90.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| ▶ | 82.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
Compiled 2 334 to 1 234 computations (47.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| cost-diff | 320 | (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) | |
| cost-diff | 0 | (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) | |
| cost-diff | 1024 | (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) | |
| cost-diff | 0 | (*.f64 #s(literal -3/8 binary64) a) | |
| cost-diff | 0 | (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b)) | |
| cost-diff | 320 | (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) | |
| cost-diff | 0 | (/.f64 c b) | |
| cost-diff | 0 | (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| cost-diff | 320 | (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))))) | |
| cost-diff | 320 | (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) | |
| cost-diff | 704 | (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) |
| 17 748× | lower-fma.f32 |
| 17 734× | lower-fma.f64 |
| 5 544× | lower-*.f32 |
| 5 508× | lower-*.f64 |
| 2 716× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 640 |
| 0 | 116 | 640 |
| 1 | 212 | 608 |
| 2 | 483 | 585 |
| 3 | 1265 | 571 |
| 4 | 2638 | 569 |
| 5 | 3602 | 569 |
| 6 | 4164 | 569 |
| 7 | 5268 | 569 |
| 0 | 8545 | 556 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))))) |
(*.f64 #s(literal -1/6 binary64) a) |
#s(literal -1/6 binary64) |
a |
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(pow.f64 c #s(literal 4 binary64)) |
c |
#s(literal 4 binary64) |
(pow.f64 b #s(literal 6 binary64)) |
b |
#s(literal 6 binary64) |
(/.f64 #s(literal 405/64 binary64) b) |
#s(literal 405/64 binary64) |
(*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64))))) |
#s(literal -9/16 binary64) |
(*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) |
(*.f64 c c) |
(/.f64 c (pow.f64 b #s(literal 5 binary64))) |
(pow.f64 b #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 c c)) |
#s(literal -3/8 binary64) |
(*.f64 (*.f64 b b) b) |
(*.f64 b b) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(/.f64 c b) |
#s(literal -1/2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(/.f64 c b) |
c |
b |
#s(literal -1/2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b) |
(fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) |
(*.f64 #s(literal -3/8 binary64) a) |
#s(literal -3/8 binary64) |
a |
(*.f64 c (/.f64 c (*.f64 b b))) |
c |
(/.f64 c (*.f64 b b)) |
(*.f64 b b) |
b |
(*.f64 #s(literal -1/2 binary64) c) |
#s(literal -1/2 binary64) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
a |
(*.f64 b b) |
b |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 b (*.f64 a #s(literal 3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) |
(fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) |
(*.f64 c #s(literal -9/16 binary64)) |
c |
#s(literal -9/16 binary64) |
(*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) |
a |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
(pow.f64 b #s(literal 5 binary64)) |
b |
#s(literal 5 binary64) |
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) |
(/.f64 a (*.f64 (*.f64 b b) b)) |
(*.f64 (*.f64 b b) b) |
(*.f64 b b) |
#s(literal -3/8 binary64) |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (pow.f64 b #s(literal 7 binary64))) (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 c c) c))) (*.f64 (fma.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) c #s(literal -1/2 binary64)) (/.f64 c b)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 a a) (fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (pow.f64 b #s(literal 7 binary64))) (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 c c) c))) (*.f64 (fma.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) c #s(literal -1/2 binary64)) (/.f64 c b))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) |
(fma.f64 (*.f64 (/.f64 #s(literal -135/128 binary64) (pow.f64 b #s(literal 7 binary64))) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 c c) (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) a (/.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 b b) b))))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))))) |
(fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (pow.f64 b #s(literal 7 binary64))) (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 c c) c))) |
(*.f64 #s(literal -1/6 binary64) a) |
#s(literal -1/6 binary64) |
a |
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(pow.f64 c #s(literal 4 binary64)) |
c |
#s(literal 4 binary64) |
(pow.f64 b #s(literal 6 binary64)) |
b |
#s(literal 6 binary64) |
(/.f64 #s(literal 405/64 binary64) b) |
#s(literal 405/64 binary64) |
(*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64))))) |
(*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 c c) c)) |
#s(literal -9/16 binary64) |
(*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) |
(*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 5 binary64))) c) c) |
(*.f64 c c) |
(/.f64 c (pow.f64 b #s(literal 5 binary64))) |
(pow.f64 b #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b)) |
(*.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) c) |
(*.f64 #s(literal -3/8 binary64) (*.f64 c c)) |
#s(literal -3/8 binary64) |
(*.f64 (*.f64 b b) b) |
(*.f64 b b) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(/.f64 c b) |
#s(literal -1/2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(/.f64 c b) |
c |
b |
#s(literal -1/2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) c #s(literal -1/2 binary64)) (/.f64 c b))) |
(/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b) |
(*.f64 (fma.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) c #s(literal -1/2 binary64)) (/.f64 c b)) |
(fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) |
(*.f64 (fma.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) c #s(literal -1/2 binary64)) c) |
(*.f64 #s(literal -3/8 binary64) a) |
#s(literal -3/8 binary64) |
a |
(*.f64 c (/.f64 c (*.f64 b b))) |
(*.f64 (/.f64 c (*.f64 b b)) c) |
c |
(/.f64 c (*.f64 b b)) |
(*.f64 b b) |
b |
(*.f64 #s(literal -1/2 binary64) c) |
#s(literal -1/2 binary64) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -3 binary64) a)) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
a |
(*.f64 b b) |
b |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 b (*.f64 a #s(literal 3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 c a) (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) a (/.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 b b) b))) (/.f64 #s(literal -1/2 binary64) b)) c)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(*.f64 (fma.f64 (*.f64 c a) (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) a (/.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 b b) b))) (/.f64 #s(literal -1/2 binary64) b)) c) |
(fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) |
(fma.f64 (*.f64 c a) (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) a (/.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 b b) b))) (/.f64 #s(literal -1/2 binary64) b)) |
(fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) |
(*.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) a (/.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 b b) b))) a) |
(*.f64 c #s(literal -9/16 binary64)) |
(*.f64 #s(literal -9/16 binary64) c) |
c |
#s(literal -9/16 binary64) |
(*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) |
(*.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) a) |
a |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
(pow.f64 b #s(literal 5 binary64)) |
b |
#s(literal 5 binary64) |
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) |
(/.f64 a (*.f64 (*.f64 b b) b)) |
(*.f64 (*.f64 b b) b) |
(*.f64 b b) |
#s(literal -3/8 binary64) |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2734375 | (/.f64 a (pow.f64 b #s(literal 5 binary64))) | |
| accuracy | 0.28125 | (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) | |
| accuracy | 0.30078125 | (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) | |
| accuracy | 3.9036991513200228 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| accuracy | 0.140625 | (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) | |
| accuracy | 0.26400375976844204 | (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) | |
| accuracy | 0.26953125 | (/.f64 b (*.f64 a #s(literal 3 binary64))) | |
| accuracy | 44.73465598285286 | (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) | |
| accuracy | 0.0859375 | (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b) | |
| accuracy | 0.23828125 | (/.f64 c (*.f64 b b)) | |
| accuracy | 0.25 | (*.f64 c (/.f64 c (*.f64 b b))) | |
| accuracy | 5.706814698925362 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b)) | |
| accuracy | 0 | (/.f64 c b) | |
| accuracy | 0 | (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) | |
| accuracy | 11.369357148007731 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) | |
| accuracy | 0.33431625976844204 | (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) | |
| accuracy | 0.34212875976844204 | (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) | |
| accuracy | 0.344413769536884 | (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b)) | |
| accuracy | 2.9041678785258607 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
| 209.0ms | 186× | 1 | valid |
| 60.0ms | 70× | 0 | valid |
Compiled 561 to 71 computations (87.3% saved)
ival-add: 62.0ms (27.7% of total)ival-mult: 59.0ms (26.4% of total)ival-div: 50.0ms (22.4% of total)adjust: 16.0ms (7.2% of total)ival-pow: 12.0ms (5.4% of total)const: 11.0ms (4.9% of total)ival-sqrt: 6.0ms (2.7% of total)ival-sub: 4.0ms (1.8% 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 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))))) (patch (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) (patch (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b) (patch (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -3/8 binary64) a) (patch (*.f64 #s(literal -3/8 binary64) a) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (patch (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) (patch (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) (patch (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) (patch (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b)) (patch (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (patch (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 c (/.f64 c (*.f64 b b))) (patch (*.f64 c (/.f64 c (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt (/.f64 c (*.f64 b b)) (patch (/.f64 c (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (/.f64 b (*.f64 a #s(literal 3 binary64))) (patch (/.f64 b (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (patch (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 a (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 a (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 405/64 (/ (pow c 4) (pow b 7))) (taylor 0 c) (#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (pow c 4) (pow b 7))) (taylor 0 c) (#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (pow c 4) (pow b 7))) (taylor 0 c) (#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (pow c 4) (pow b 7))) (taylor 0 c) (#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (pow c 4) (pow b 7))) (taylor inf c) (#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (pow c 4) (pow b 7))) (taylor inf c) (#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (pow c 4) (pow b 7))) (taylor inf c) (#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (pow c 4) (pow b 7))) (taylor inf c) (#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (pow c 4) (pow b 7))) (taylor -inf c) (#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (pow c 4) (pow b 7))) (taylor -inf c) (#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (pow c 4) (pow b 7))) (taylor -inf c) (#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (pow c 4) (pow b 7))) (taylor -inf c) (#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (pow c 4) (pow b 7))) (taylor 0 b) (#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (pow c 4) (pow b 7))) (taylor 0 b) (#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (pow c 4) (pow b 7))) (taylor 0 b) (#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (pow c 4) (pow b 7))) (taylor 0 b) (#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (pow c 4) (pow b 7))) (taylor inf b) (#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (pow c 4) (pow b 7))) (taylor inf b) (#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (pow c 4) (pow b 7))) (taylor inf b) (#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (pow c 4) (pow b 7))) (taylor inf b) (#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (pow c 4) (pow b 7))) (taylor -inf b) (#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (pow c 4) (pow b 7))) (taylor -inf b) (#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (pow c 4) (pow b 7))) (taylor -inf b) (#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (pow c 4) (pow b 7))) (taylor -inf b) (#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ (pow c 2) (pow b 3))) (taylor 0 a) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))) (taylor 0 a) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))) (taylor 0 a) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))) (taylor 0 a) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 c) (taylor inf b) (#s(alt (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) (taylor inf b) (#s(alt (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) (taylor 0 b) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b)) #<representation binary64>) () ())) ()) |
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#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 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) 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 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b)) #<representation binary64>) () ())) ()) |
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#s(alt (* -3/8 a) (taylor 0 a) (#s(alt (*.f64 #s(literal -3/8 binary64) a) (patch (*.f64 #s(literal -3/8 binary64) a) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 a) (taylor inf a) (#s(alt (*.f64 #s(literal -3/8 binary64) a) (patch (*.f64 #s(literal -3/8 binary64) a) #<representation binary64>) () ())) ()) |
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#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor 0 b) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (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))))))) (taylor 0 b) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (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))))))))) (taylor 0 b) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt b (taylor inf b) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) (taylor inf b) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* 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))))))) (taylor inf b) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 b) (taylor -inf b) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) (taylor -inf b) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor -inf b) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -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)))))))) (taylor -inf b) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* a c)) (taylor inf c) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -3 a) (/ (pow b 2) c))) (taylor inf c) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -3 a) (/ (pow b 2) c))) (taylor inf c) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -3 a) (/ (pow b 2) c))) (taylor inf c) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) (taylor -inf c) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 2) (taylor 0 a) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 a) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 a) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 a) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ()) |
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#s(alt (* a (+ (* -3 c) (/ (pow b 2) a))) (taylor inf a) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* a c)) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ()) |
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#s(alt (* -3 (* a c)) (taylor 0 b) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ()) |
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#s(alt (* -3/8 (/ a (pow b 3))) (taylor -inf a) (#s(alt (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (patch (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ a (pow b 3))) (taylor 0 b) (#s(alt (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (patch (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ a (pow b 3))) (taylor 0 b) (#s(alt (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (patch (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ a (pow b 3))) (taylor 0 b) (#s(alt (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (patch (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ a (pow b 3))) (taylor 0 b) (#s(alt (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (patch (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ a (pow b 3))) (taylor inf b) (#s(alt (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (patch (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ a (pow b 3))) (taylor inf b) (#s(alt (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (patch (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ a (pow b 3))) (taylor inf b) (#s(alt (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (patch (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ a (pow b 3))) (taylor inf b) (#s(alt (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (patch (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ a (pow b 3))) (taylor -inf b) (#s(alt (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (patch (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ a (pow b 3))) (taylor -inf b) (#s(alt (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (patch (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ a (pow b 3))) (taylor -inf b) (#s(alt (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (patch (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ a (pow b 3))) (taylor -inf b) (#s(alt (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (patch (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ a (pow b 5)) (taylor 0 a) (#s(alt (/.f64 a (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 a (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ a (pow b 5)) (taylor 0 a) (#s(alt (/.f64 a (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 a (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ a (pow b 5)) (taylor 0 a) (#s(alt (/.f64 a (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 a (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ a (pow b 5)) (taylor 0 a) (#s(alt (/.f64 a (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 a (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ a (pow b 5)) (taylor inf a) (#s(alt (/.f64 a (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 a (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ a (pow b 5)) (taylor inf a) (#s(alt (/.f64 a (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 a (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ a (pow b 5)) (taylor inf a) (#s(alt (/.f64 a (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 a (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ a (pow b 5)) (taylor inf a) (#s(alt (/.f64 a (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 a (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ a (pow b 5)) (taylor -inf a) (#s(alt (/.f64 a (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 a (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ a (pow b 5)) (taylor -inf a) (#s(alt (/.f64 a (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 a (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ a (pow b 5)) (taylor -inf a) (#s(alt (/.f64 a (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 a (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ a (pow b 5)) (taylor -inf a) (#s(alt (/.f64 a (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 a (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ a (pow b 5)) (taylor 0 b) (#s(alt (/.f64 a (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 a (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ a (pow b 5)) (taylor 0 b) (#s(alt (/.f64 a (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 a (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ a (pow b 5)) (taylor 0 b) (#s(alt (/.f64 a (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 a (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ a (pow b 5)) (taylor 0 b) (#s(alt (/.f64 a (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 a (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ a (pow b 5)) (taylor inf b) (#s(alt (/.f64 a (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 a (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ a (pow b 5)) (taylor inf b) (#s(alt (/.f64 a (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 a (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ a (pow b 5)) (taylor inf b) (#s(alt (/.f64 a (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 a (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ a (pow b 5)) (taylor inf b) (#s(alt (/.f64 a (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 a (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ a (pow b 5)) (taylor -inf b) (#s(alt (/.f64 a (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 a (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ a (pow b 5)) (taylor -inf b) (#s(alt (/.f64 a (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 a (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ a (pow b 5)) (taylor -inf b) (#s(alt (/.f64 a (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 a (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ a (pow b 5)) (taylor -inf b) (#s(alt (/.f64 a (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 a (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
198 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | b | @ | 0 | (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) |
| 4.0ms | c | @ | 0 | (* (/ (pow c 4) (pow b 6)) (/ 405/64 b)) |
| 3.0ms | b | @ | inf | (* (/ (pow c 4) (pow b 6)) (/ 405/64 b)) |
| 2.0ms | c | @ | inf | (* (/ c b) -1/2) |
| 2.0ms | c | @ | inf | (/ (* -3/8 (* c c)) (* (* b b) b)) |
| 1× | egg-herbie |
| 12 496× | lower-fma.f64 |
| 12 496× | lower-fma.f32 |
| 9 060× | lower-*.f64 |
| 9 060× | lower-*.f32 |
| 3 886× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 858 | 14103 |
| 1 | 2679 | 13963 |
| 0 | 8413 | 13398 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))) |
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))) |
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (pow c 3) (pow b 5)))) a)))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (pow c 3) (pow b 5)))) a)))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) |
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) |
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))) (/ 3/8 (* (pow b 3) (pow c 2))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))) (/ 3/8 (* (pow b 3) (pow c 2))))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))) c)))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))) c)))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* -9/16 (* a (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))) (pow b 7)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/ (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))) (pow b 3)) |
(/ (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (pow b 3)) |
(/ (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (pow b 3)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (* 9/16 (/ (* a (pow c 3)) (pow b 2)))) (pow b 3))) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (+ (* 9/16 (/ (* a (pow c 3)) (pow b 2))) (* 135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))))) (pow b 3))) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (+ (* 9/16 (/ (* a (pow c 3)) (pow b 2))) (* 135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))))) (pow b 3))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))) |
(+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))) |
(+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7)) |
(/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7)) |
(/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7)) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5)) |
(/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5)) |
(/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5)) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5))) |
(* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5))) |
(* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5))) |
(* 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))))))) |
(* 1/3 (* (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) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2))))) |
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2))))) |
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))) |
(* -1/2 c) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2)) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2)) |
(/ (+ (* -1/2 (* (pow b 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)))) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -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)))) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -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)) (* -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)))))) |
(* -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)) |
(* -3/8 a) |
(* -3/8 a) |
(* -3/8 a) |
(* -3/8 a) |
(* -3/8 a) |
(* -3/8 a) |
(* -3/8 a) |
(* -3/8 a) |
(* -3/8 a) |
(* -3/8 a) |
(* -3/8 a) |
(* -3/8 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 (- (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))) (* 1/3 (/ b (* a c))))) |
(* 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 (/ b (* a c))))) |
(* -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 (/ (- (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (/ b a))) 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)) (* -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)))) |
(- (+ (* 1/6 (* (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 (/ b a))) |
(* -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))))))) |
(* 1/3 (/ b a)) |
(+ (* -1/2 (/ c b)) (* 1/3 (/ b a))) |
(+ (* 1/3 (/ b a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))) |
(+ (* 1/3 (/ b a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* 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 (+ (* -1/24 (* (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)))))) |
(* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 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 (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
(* 1/3 (/ b a)) |
(/ (+ (* -1/2 (/ (* a c) b)) (* 1/3 b)) a) |
(/ (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/ (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) a) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -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))))) |
(+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 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)))) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (+ (* -1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -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 -3))) (* (pow b 2) (+ (* -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 (* (sqrt (/ c a)) (sqrt -3))) (* (pow b 2) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
(* 1/3 (/ b a)) |
(* b (+ (* -1/2 (/ c (pow b 2))) (* 1/3 (/ 1 a)))) |
(* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 1/3 (/ 1 a))))) |
(* 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))) (* 1/3 (/ 1 a)))))) |
(* -1/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 1/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 1/3 (/ 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))) (* 1/3 (/ 1 a))))))) |
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)))))))) |
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)))))))) |
(* (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)))))))) |
(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))))) |
(* -3/8 (/ a (pow b 3))) |
(+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3)))) |
(+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3)))) |
(+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3)))) |
(* -9/16 (/ (* (pow a 2) c) (pow b 5))) |
(* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* -9/16 (/ (* (pow a 2) c) (pow b 5))) |
(* -1 (* c (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* c (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* c (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -3/8 (/ a (pow b 3))) |
(* a (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) |
(* a (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) |
(* a (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) |
(* -9/16 (/ (* (pow a 2) c) (pow b 5))) |
(* (pow a 2) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3)))))) |
(* (pow a 2) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3)))))) |
(* (pow a 2) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3)))))) |
(* -9/16 (/ (* (pow a 2) c) (pow b 5))) |
(* (pow a 2) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3)))))) |
(* (pow a 2) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3)))))) |
(* (pow a 2) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3)))))) |
(* -9/16 (/ (* (pow a 2) c) (pow b 5))) |
(/ (+ (* -9/16 (* (pow a 2) c)) (* -3/8 (* a (pow b 2)))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) c)) (* -3/8 (* a (pow b 2)))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) c)) (* -3/8 (* a (pow b 2)))) (pow b 5)) |
(* -3/8 (/ a (pow b 3))) |
(/ (+ (* -9/16 (/ (* (pow a 2) c) (pow b 2))) (* -3/8 a)) (pow b 3)) |
(/ (+ (* -9/16 (/ (* (pow a 2) c) (pow b 2))) (* -3/8 a)) (pow b 3)) |
(/ (+ (* -9/16 (/ (* (pow a 2) c) (pow b 2))) (* -3/8 a)) (pow b 3)) |
(* -3/8 (/ a (pow b 3))) |
(* -1 (/ (+ (* 3/8 a) (* 9/16 (/ (* (pow a 2) c) (pow b 2)))) (pow b 3))) |
(* -1 (/ (+ (* 3/8 a) (* 9/16 (/ (* (pow a 2) c) (pow b 2)))) (pow b 3))) |
(* -1 (/ (+ (* 3/8 a) (* 9/16 (/ (* (pow a 2) c) (pow b 2)))) (pow b 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))))))) |
(* -1/2 (/ 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 (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow c 3) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -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 (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (+ (* -1/2 (/ c (* (pow a 2) b))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (+ (* -1/2 (/ c (* (pow a 2) b))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))) (pow b 5)) |
(/ (+ (* -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 5)) |
(/ (+ (* -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 5)) |
(* -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))))) 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) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)) |
(/ -1/2 b) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))) |
(- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))) |
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5))) |
(* (pow c 2) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* (pow c 2) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* (pow c 2) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5))) |
(* (pow c 2) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* (pow c 2) (+ (* -1 (/ (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* -9/16 (/ (pow a 2) (pow b 5))))) |
(* (pow c 2) (+ (* -1 (/ (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* -9/16 (/ (pow a 2) (pow b 5))))) |
(/ -1/2 b) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(- (* a (+ (* -9/16 (/ (* a (pow c 2)) (pow b 5))) (* -3/8 (/ c (pow b 3))))) (* 1/2 (/ 1 b))) |
(- (* a (+ (* -9/16 (/ (* a (pow c 2)) (pow b 5))) (* -3/8 (/ c (pow b 3))))) (* 1/2 (/ 1 b))) |
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3)))))) |
(* (pow a 2) (- (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3))))) (/ 1/2 (* (pow a 2) b)))) |
(* (pow a 2) (- (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3))))) (/ 1/2 (* (pow a 2) b)))) |
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5))))) |
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5))) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* -3/8 (* a (* (pow b 2) c)))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* (pow b 2) (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* (pow b 2) (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))))) (pow b 5)) |
(/ -1/2 b) |
(/ (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) b) |
(/ (- (+ (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -3/8 (/ (* a c) (pow b 2)))) 1/2) b) |
(/ (- (+ (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -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))) (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) b)) |
(* -1 (/ (+ 1/2 (+ (* 3/8 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) b)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 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 (pow b 2)) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(/ a (pow b 5)) |
(/ a (pow b 5)) |
(/ a (pow b 5)) |
(/ a (pow b 5)) |
(/ a (pow b 5)) |
(/ a (pow b 5)) |
(/ a (pow b 5)) |
(/ a (pow b 5)) |
(/ a (pow b 5)) |
(/ a (pow b 5)) |
(/ a (pow b 5)) |
(/ a (pow b 5)) |
(/ a (pow b 5)) |
(/ a (pow b 5)) |
(/ a (pow b 5)) |
(/ a (pow b 5)) |
(/ a (pow b 5)) |
(/ a (pow b 5)) |
(/ a (pow b 5)) |
(/ a (pow b 5)) |
(/ a (pow b 5)) |
(/ a (pow b 5)) |
(/ a (pow b 5)) |
(/ a (pow b 5)) |
| Outputs |
|---|
(* 405/64 (/ (pow c 4) (pow b 7))) |
(/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 7 binary64))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))) |
(fma.f64 (*.f64 a #s(literal -9/16 binary64)) (/.f64 (*.f64 (*.f64 c c) c) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) |
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))) |
(fma.f64 (fma.f64 (*.f64 a #s(literal -135/128 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) |
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))) |
(fma.f64 (fma.f64 (*.f64 a #s(literal -135/128 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(*.f64 (*.f64 (*.f64 a a) #s(literal -135/128 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64)))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (pow.f64 b #s(literal 5 binary64)) a)) #s(literal -9/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (pow.f64 b #s(literal 7 binary64)))) (*.f64 a a)) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
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b |
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b |
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(* (sqrt (* a c)) (sqrt -3)) |
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b |
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(/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64)) (neg.f64 b)) |
(* -1 (/ (+ 1/2 (+ (* 3/8 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) b)) |
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 9/16 binary64) (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64))) (neg.f64 b)) |
(* -1 (/ (+ 1/2 (+ (* 3/8 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) b)) |
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 9/16 binary64) (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64))) (neg.f64 b)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(/ (pow c 4) (pow b 6)) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(/ (pow c 4) (pow b 6)) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(/ (pow c 4) (pow b 6)) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(/ (pow c 4) (pow b 6)) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(/ (pow c 4) (pow b 6)) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(/ (pow c 4) (pow b 6)) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(/ (pow c 4) (pow b 6)) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(/ (pow c 4) (pow b 6)) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(/ (pow c 4) (pow b 6)) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(/ (pow c 4) (pow b 6)) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(/ (pow c 4) (pow b 6)) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(/ (pow c 4) (pow b 6)) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(/ (pow c 4) (pow b 6)) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(/ (pow c 4) (pow b 6)) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(/ (pow c 4) (pow b 6)) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(/ (pow c 4) (pow b 6)) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(/ (pow c 4) (pow b 6)) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(/ (pow c 4) (pow b 6)) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(/ (pow c 4) (pow b 6)) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(/ (pow c 4) (pow b 6)) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(/ (pow c 4) (pow b 6)) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(/ (pow c 4) (pow b 6)) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(/ (pow c 4) (pow b 6)) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(/ (pow c 4) (pow b 6)) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(/ (pow c 2) (pow b 2)) |
(/.f64 (*.f64 c c) (*.f64 b b)) |
(/ (pow c 2) (pow b 2)) |
(/.f64 (*.f64 c c) (*.f64 b b)) |
(/ (pow c 2) (pow b 2)) |
(/.f64 (*.f64 c c) (*.f64 b b)) |
(/ (pow c 2) (pow b 2)) |
(/.f64 (*.f64 c c) (*.f64 b b)) |
(/ (pow c 2) (pow b 2)) |
(/.f64 (*.f64 c c) (*.f64 b b)) |
(/ (pow c 2) (pow b 2)) |
(/.f64 (*.f64 c c) (*.f64 b b)) |
(/ (pow c 2) (pow b 2)) |
(/.f64 (*.f64 c c) (*.f64 b b)) |
(/ (pow c 2) (pow b 2)) |
(/.f64 (*.f64 c c) (*.f64 b b)) |
(/ (pow c 2) (pow b 2)) |
(/.f64 (*.f64 c c) (*.f64 b b)) |
(/ (pow c 2) (pow b 2)) |
(/.f64 (*.f64 c c) (*.f64 b b)) |
(/ (pow c 2) (pow b 2)) |
(/.f64 (*.f64 c c) (*.f64 b b)) |
(/ (pow c 2) (pow b 2)) |
(/.f64 (*.f64 c c) (*.f64 b b)) |
(/ (pow c 2) (pow b 2)) |
(/.f64 (*.f64 c c) (*.f64 b b)) |
(/ (pow c 2) (pow b 2)) |
(/.f64 (*.f64 c c) (*.f64 b b)) |
(/ (pow c 2) (pow b 2)) |
(/.f64 (*.f64 c c) (*.f64 b b)) |
(/ (pow c 2) (pow b 2)) |
(/.f64 (*.f64 c c) (*.f64 b b)) |
(/ (pow c 2) (pow b 2)) |
(/.f64 (*.f64 c c) (*.f64 b b)) |
(/ (pow c 2) (pow b 2)) |
(/.f64 (*.f64 c c) (*.f64 b b)) |
(/ (pow c 2) (pow b 2)) |
(/.f64 (*.f64 c c) (*.f64 b b)) |
(/ (pow c 2) (pow b 2)) |
(/.f64 (*.f64 c c) (*.f64 b b)) |
(/ (pow c 2) (pow b 2)) |
(/.f64 (*.f64 c c) (*.f64 b b)) |
(/ (pow c 2) (pow b 2)) |
(/.f64 (*.f64 c c) (*.f64 b b)) |
(/ (pow c 2) (pow b 2)) |
(/.f64 (*.f64 c c) (*.f64 b b)) |
(/ (pow c 2) (pow b 2)) |
(/.f64 (*.f64 c c) (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(* 1/3 (/ b a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) b) |
(* 1/3 (/ b a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) b) |
(* 1/3 (/ b a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) b) |
(* 1/3 (/ b a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) b) |
(* 1/3 (/ b a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) b) |
(* 1/3 (/ b a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) b) |
(* 1/3 (/ b a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) b) |
(* 1/3 (/ b a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) b) |
(* 1/3 (/ b a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) b) |
(* 1/3 (/ b a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) b) |
(* 1/3 (/ b a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) b) |
(* 1/3 (/ b a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) b) |
(* 1/3 (/ b a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) b) |
(* 1/3 (/ b a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) b) |
(* 1/3 (/ b a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) b) |
(* 1/3 (/ b a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) b) |
(* 1/3 (/ b a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) b) |
(* 1/3 (/ b a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) b) |
(* 1/3 (/ b a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) b) |
(* 1/3 (/ b a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) b) |
(* 1/3 (/ b a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) b) |
(* 1/3 (/ b a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) b) |
(* 1/3 (/ b a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) b) |
(* 1/3 (/ b a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) b) |
(* -3/8 (/ a (pow b 3))) |
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) |
(* -3/8 (/ a (pow b 3))) |
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) |
(* -3/8 (/ a (pow b 3))) |
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) |
(* -3/8 (/ a (pow b 3))) |
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) |
(* -3/8 (/ a (pow b 3))) |
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) |
(* -3/8 (/ a (pow b 3))) |
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) |
(* -3/8 (/ a (pow b 3))) |
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) |
(* -3/8 (/ a (pow b 3))) |
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) |
(* -3/8 (/ a (pow b 3))) |
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) |
(* -3/8 (/ a (pow b 3))) |
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) |
(* -3/8 (/ a (pow b 3))) |
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) |
(* -3/8 (/ a (pow b 3))) |
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) |
(* -3/8 (/ a (pow b 3))) |
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) |
(* -3/8 (/ a (pow b 3))) |
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) |
(* -3/8 (/ a (pow b 3))) |
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) |
(* -3/8 (/ a (pow b 3))) |
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) |
(* -3/8 (/ a (pow b 3))) |
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) |
(* -3/8 (/ a (pow b 3))) |
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) |
(* -3/8 (/ a (pow b 3))) |
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) |
(* -3/8 (/ a (pow b 3))) |
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) |
(* -3/8 (/ a (pow b 3))) |
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) |
(* -3/8 (/ a (pow b 3))) |
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) |
(* -3/8 (/ a (pow b 3))) |
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) |
(* -3/8 (/ a (pow b 3))) |
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) |
(/ a (pow b 5)) |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
(/ a (pow b 5)) |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
(/ a (pow b 5)) |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
(/ a (pow b 5)) |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
(/ a (pow b 5)) |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
(/ a (pow b 5)) |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
(/ a (pow b 5)) |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
(/ a (pow b 5)) |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
(/ a (pow b 5)) |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
(/ a (pow b 5)) |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
(/ a (pow b 5)) |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
(/ a (pow b 5)) |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
(/ a (pow b 5)) |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
(/ a (pow b 5)) |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
(/ a (pow b 5)) |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
(/ a (pow b 5)) |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
(/ a (pow b 5)) |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
(/ a (pow b 5)) |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
(/ a (pow b 5)) |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
(/ a (pow b 5)) |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
(/ a (pow b 5)) |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
(/ a (pow b 5)) |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
(/ a (pow b 5)) |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
(/ a (pow b 5)) |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
| 5 036× | lower-*.f32 |
| 5 000× | lower-*.f64 |
| 4 126× | lower-fma.f32 |
| 4 112× | lower-fma.f64 |
| 3 094× | lower-pow.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 453 |
| 0 | 116 | 433 |
| 1 | 442 | 411 |
| 2 | 3629 | 403 |
| 0 | 8359 | 403 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(/.f64 c b) |
(fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b) |
(*.f64 #s(literal -3/8 binary64) a) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b)) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(*.f64 c (/.f64 c (*.f64 b b))) |
(/.f64 c (*.f64 b b)) |
(/.f64 b (*.f64 a #s(literal 3 binary64))) |
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 b b) b)) (/.f64 (/.f64 #s(literal 405/64 binary64) b) (*.f64 (*.f64 b b) b))) |
(*.f64 (*.f64 (/.f64 #s(literal 405/64 binary64) b) (*.f64 (*.f64 (*.f64 c c) c) c)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) |
(*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))) |
(*.f64 (/.f64 #s(literal 405/64 binary64) b) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) |
(*.f64 #s(literal 405/64 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (/.f64 #s(literal 405/64 binary64) b)) |
(*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 (/.f64 #s(literal 405/64 binary64) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) |
(*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))) |
(*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (/.f64 #s(literal 405/64 binary64) b))) |
(pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (/.f64 #s(literal 405/64 binary64) b) (*.f64 (*.f64 (*.f64 c c) c) c))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 b (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 b #s(literal 64/405 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) c) c))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 b #s(literal 64/405 binary64))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal 405/64 binary64) b) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 b b) b)) |
(/.f64 (*.f64 #s(literal -405/64 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (neg.f64 b)) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 c c) c) c)) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) |
(/.f64 (*.f64 (/.f64 #s(literal 405/64 binary64) b) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) c) c))) |
(/.f64 (*.f64 (/.f64 #s(literal 405/64 binary64) b) (neg.f64 (*.f64 (*.f64 (*.f64 c c) c) c))) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) #s(literal 1 binary64)) (*.f64 b #s(literal 64/405 binary64))) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) #s(literal -405/64 binary64)) (neg.f64 b)) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 405/64 binary64) b) (*.f64 (*.f64 (*.f64 c c) c) c))) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (neg.f64 b)) |
(/.f64 (neg.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (neg.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 c c) c) c))) (*.f64 (*.f64 b #s(literal 64/405 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 (*.f64 b #s(literal 64/405 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) |
(/.f64 (*.f64 #s(literal -405/64 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 c c) c) c))) (*.f64 (neg.f64 b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) |
(/.f64 (*.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 (neg.f64 b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 c c) c) c))) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 c c) c) c)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 b #s(literal 64/405 binary64)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 c c) c) c)) #s(literal -405/64 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (neg.f64 b))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 c c) c) c)) #s(literal 405/64 binary64)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 b #s(literal 64/405 binary64)))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) #s(literal -405/64 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (neg.f64 b))) |
(/.f64 (*.f64 (/.f64 #s(literal 405/64 binary64) b) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) |
(/.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) b) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (/.f64 #s(literal 405/64 binary64) b) (*.f64 (*.f64 (*.f64 c c) c) c)))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b #s(literal 64/405 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) c) c)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 b #s(literal 64/405 binary64)))) |
(/.f64 #s(literal -405/64 binary64) (*.f64 (neg.f64 b) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) c) c)))) |
(/.f64 #s(literal -405/64 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) c) c)) (neg.f64 b))) |
(/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))) |
(/.f64 (/.f64 #s(literal 405/64 binary64) b) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) c) c))) |
(/.f64 #s(literal 405/64 binary64) (*.f64 b (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) c) c)))) |
(/.f64 #s(literal 405/64 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) c) c)) b)) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (*.f64 b #s(literal 64/405 binary64))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))) (*.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))))) a (*.f64 #s(literal 3/8 binary64) (*.f64 c (/.f64 c (*.f64 (*.f64 b b) b))))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))) (*.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))))) a (*.f64 #s(literal 3/8 binary64) (*.f64 c (/.f64 c (*.f64 (*.f64 b b) b))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 c c) c) (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 b b) b))) (/.f64 #s(literal 27/512 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (pow.f64 (*.f64 (fma.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))) (*.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))))) a) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) c) (/.f64 c (*.f64 (*.f64 b b) b))) (-.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) c) (/.f64 c (*.f64 (*.f64 b b) b))) (*.f64 (fma.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))) (*.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))))) a)) (pow.f64 (*.f64 (fma.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))) (*.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))))) a) #s(literal 2 binary64))))) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))) (*.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))))) a (*.f64 #s(literal 3/8 binary64) (*.f64 c (/.f64 c (*.f64 (*.f64 b b) b))))) (pow.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))) (*.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))))) a (*.f64 #s(literal 3/8 binary64) (*.f64 c (/.f64 c (*.f64 (*.f64 b b) b))))) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) c) (/.f64 c (*.f64 (*.f64 b b) b))) (-.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) c) (/.f64 c (*.f64 (*.f64 b b) b))) (*.f64 (fma.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))) (*.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))))) a)) (pow.f64 (*.f64 (fma.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))) (*.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))))) a) #s(literal 2 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 c c) c) (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 b b) b))) (/.f64 #s(literal 27/512 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (pow.f64 (*.f64 (fma.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))) (*.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))))) a) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 9/64 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (pow.f64 (*.f64 (fma.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))) (*.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))))) a) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) c) (/.f64 c (*.f64 (*.f64 b b) b))) (*.f64 (fma.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))) (*.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))))) a))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) (/.f64 b (*.f64 #s(literal -3/8 binary64) (*.f64 c c)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (/.f64 b (*.f64 #s(literal -3/8 binary64) (*.f64 c c))))) |
(/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b)) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b)) |
(neg.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) c) (/.f64 c (*.f64 (*.f64 b b) b)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 b b) (/.f64 b (*.f64 #s(literal -3/8 binary64) (*.f64 c c))))) #s(literal -1 binary64))) |
(*.f64 (*.f64 c (/.f64 c (*.f64 (*.f64 b b) b))) (*.f64 c (/.f64 c (*.f64 (*.f64 b b) b)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) b)) (pow.f64 (/.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 c c) c) c)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) c)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (*.f64 (*.f64 (*.f64 c c) c) c)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) |
(*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 c c) c) c)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) |
(*.f64 (*.f64 c c) (/.f64 (*.f64 c c) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) |
(*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))) |
(*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) |
(pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) c) c)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 c (/.f64 c (*.f64 (*.f64 b b) b))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) c) c)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 b b) b)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (*.f64 c c) c) c))) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) c) c)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) c) c)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) c) c))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) |
(/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) |
(neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 c) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)) #s(literal 3 binary64)))) |
(exp.f64 (neg.f64 (-.f64 (*.f64 (log.f64 b) #s(literal 6 binary64)) (*.f64 (log.f64 c) #s(literal 4 binary64))))) |
(exp.f64 (+.f64 (neg.f64 (*.f64 (log.f64 b) #s(literal 6 binary64))) (*.f64 (log.f64 c) #s(literal 4 binary64)))) |
(exp.f64 (fma.f64 (log.f64 c) #s(literal 4 binary64) (neg.f64 (*.f64 (log.f64 b) #s(literal 6 binary64))))) |
(exp.f64 (*.f64 (-.f64 (*.f64 (log.f64 b) #s(literal 6 binary64)) (*.f64 (log.f64 c) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) c) c))) #s(literal -1 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 c) #s(literal 4 binary64)) (*.f64 (log.f64 b) #s(literal 6 binary64)))) |
(*.f64 (/.f64 (neg.f64 c) b) (/.f64 (neg.f64 c) b)) |
(*.f64 (/.f64 c (neg.f64 b)) (/.f64 c (neg.f64 b))) |
(*.f64 (/.f64 c (*.f64 b b)) c) |
(*.f64 (/.f64 c b) (/.f64 c b)) |
(*.f64 (*.f64 c c) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(*.f64 c (/.f64 c (*.f64 b b))) |
(pow.f64 (*.f64 (/.f64 b c) (/.f64 b c)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 b b) (*.f64 c c)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 b c) #s(literal -2 binary64)) |
(pow.f64 (/.f64 c b) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) c) (*.f64 b (/.f64 b c))) |
(/.f64 (*.f64 (neg.f64 c) c) (*.f64 (neg.f64 b) b)) |
(/.f64 (*.f64 (/.f64 c b) c) b) |
(/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 b (/.f64 b c))) |
(/.f64 (*.f64 c (neg.f64 c)) (*.f64 (neg.f64 b) b)) |
(/.f64 (neg.f64 (*.f64 c c)) (*.f64 (neg.f64 b) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 c c))) |
(/.f64 (*.f64 c (/.f64 c b)) b) |
(/.f64 (*.f64 c c) (*.f64 b b)) |
(/.f64 c (*.f64 b (/.f64 b c))) |
(exp.f64 (-.f64 (*.f64 (log.f64 c) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) c) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 c b)) |
(*.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b b))) |
(*.f64 (neg.f64 c) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 b) b))) |
(*.f64 (/.f64 c b) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 c (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(pow.f64 (*.f64 (/.f64 b c) b) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 b (/.f64 b c)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 b (/.f64 c b)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 b (/.f64 b c)) #s(literal -1 binary64)) |
(/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 b b)) |
(/.f64 (neg.f64 (neg.f64 c)) (*.f64 b b)) |
(/.f64 (neg.f64 (/.f64 c b)) (neg.f64 b)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 b (/.f64 b c)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (/.f64 b c)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 c b))) |
(/.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b c))) |
(/.f64 (neg.f64 c) (*.f64 (neg.f64 b) b)) |
(/.f64 (/.f64 c b) b) |
(/.f64 c (*.f64 b b)) |
(neg.f64 (/.f64 (neg.f64 c) (*.f64 b b))) |
(neg.f64 (/.f64 c (*.f64 (neg.f64 b) b))) |
(exp.f64 (*.f64 (log.f64 (*.f64 b (/.f64 b c))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 3 binary64) b) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 b a)) |
(*.f64 (/.f64 b a) #s(literal 1/3 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 b (*.f64 #s(literal -3 binary64) a))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) b) |
(*.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal 3 binary64) a))) |
(*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
(*.f64 b (/.f64 #s(literal 1/3 binary64) a)) |
(pow.f64 (/.f64 #s(literal 3 binary64) (/.f64 b a)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) b) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) b) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 b))) (*.f64 #s(literal -3 binary64) a)) |
(/.f64 (/.f64 b #s(literal 3 binary64)) a) |
(/.f64 (neg.f64 (/.f64 b a)) #s(literal -3 binary64)) |
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (*.f64 #s(literal -3 binary64) a))) |
(/.f64 (*.f64 b #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 b a) #s(literal 3 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 b a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) b) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) a) b)) |
(/.f64 (neg.f64 b) (*.f64 #s(literal -3 binary64) a)) |
(/.f64 b (*.f64 #s(literal 3 binary64) a)) |
(neg.f64 (/.f64 b (*.f64 #s(literal -3 binary64) a))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -3 binary64) a)) (/.f64 b (*.f64 #s(literal -3 binary64) a))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a (*.f64 b b))) |
(*.f64 (/.f64 a b) (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) |
(*.f64 (/.f64 a (*.f64 b b)) (/.f64 #s(literal -3/8 binary64) b)) |
(*.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (/.f64 a b)) |
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) |
(*.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) b))) |
(*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b))) |
(*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 b b) b))) |
(*.f64 a (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) |
(pow.f64 (/.f64 (*.f64 (*.f64 b b) b) (*.f64 #s(literal -3/8 binary64) a)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 b b)) b) |
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (*.f64 b b)) |
(/.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) b) |
(/.f64 (*.f64 (neg.f64 a) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b))) b) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (neg.f64 a)) (*.f64 (*.f64 b b) b)) |
(/.f64 (neg.f64 (*.f64 #s(literal -3/8 binary64) a)) (*.f64 (*.f64 b b) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) b) (*.f64 #s(literal -3/8 binary64) a))) |
(/.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 (*.f64 b b) b)) |
(/.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 (*.f64 b b) b) a)) |
(*.f64 (pow.f64 b #s(literal -5/2 binary64)) (pow.f64 (/.f64 (pow.f64 b #s(literal 5/2 binary64)) a) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) a) |
(*.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)))) |
(*.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))))) |
(*.f64 a (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)))) |
(pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)) a) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)) a) #s(literal -1 binary64)) |
(/.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) |
(/.f64 (/.f64 a (pow.f64 b #s(literal 5/2 binary64))) (pow.f64 b #s(literal 5/2 binary64))) |
(/.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)) a) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)) a)) |
(/.f64 (neg.f64 a) (neg.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)))) |
(/.f64 a (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) |
(neg.f64 (/.f64 (neg.f64 a) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)))) |
(neg.f64 (/.f64 a (neg.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)) a)) #s(literal -1 binary64))) |
Compiled 59 215 to 3 465 computations (94.1% saved)
62 alts after pruning (59 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 529 | 45 | 1 574 |
| Fresh | 15 | 14 | 29 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 546 | 62 | 1 608 |
| Status | Accuracy | Program |
|---|---|---|
| 32.4% | (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a) #s(literal 1/3 binary64) (/.f64 b (*.f64 #s(literal -3 binary64) a))) | |
| 32.7% | (fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (/.f64 b (*.f64 #s(literal -3 binary64) a))) | |
| 31.9% | (fma.f64 (neg.f64 b) (/.f64 #s(literal 1/3 binary64) a) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) | |
| 31.7% | (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (*.f64 #s(literal -3 binary64) a) b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) | |
| 31.1% | (/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) | |
| 30.8% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 27 binary64))) (fma.f64 (/.f64 b (*.f64 #s(literal 3 binary64) a)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))))) | |
| 30.2% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 b b) b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) | |
| 29.7% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 29.9% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 c a)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 (*.f64 b b) b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) | |
| 29.9% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 c a)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b))) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 30.3% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) a) #s(literal 3 binary64)) | |
| ▶ | 29.9% | (/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) (/.f64 b #s(literal 3 binary64))) a) |
| 30.1% | (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a) (/.f64 (*.f64 #s(literal 3 binary64) a) b)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 #s(literal 3 binary64) a) b))) | |
| 30.3% | (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a) (*.f64 #s(literal 3 binary64) a)) (*.f64 #s(literal 3 binary64) b)) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a))) | |
| 29.5% | (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 b a))) #s(literal 9 binary64)) | |
| 29.7% | (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (/.f64 (*.f64 #s(literal 3 binary64) a) b)) (*.f64 (*.f64 #s(literal 3 binary64) a) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 (*.f64 #s(literal 3 binary64) a) b))) | |
| 30.0% | (/.f64 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal -3 binary64) a)) (*.f64 (*.f64 #s(literal -3 binary64) a) (neg.f64 b))) (*.f64 #s(literal 9 binary64) (*.f64 a a))) | |
| 31.2% | (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))))) | |
| 30.2% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) b)) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))) | |
| 30.3% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) | |
| 29.8% | (/.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a)) (neg.f64 (/.f64 b a))) #s(literal -3 binary64)) | |
| ▶ | 30.4% | (/.f64 (-.f64 #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (/.f64 b a))) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) #s(literal 3 binary64))) |
| 30.3% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| 30.2% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| 30.3% | (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))) (*.f64 #s(literal 3 binary64) a)) | |
| 30.3% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64)) | |
| 31.1% | (/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) | |
| 30.3% | (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64)) a) | |
| 94.7% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 a a) (/.f64 a (pow.f64 b #s(literal 5 binary64)))) #s(literal -27/16 binary64))) c (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 81.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 30.3% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| 30.3% | (/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a)) | |
| 30.5% | (-.f64 (/.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (/.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal 9 binary64) (*.f64 a a))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)))) | |
| ✓ | 29.7% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
| 29.2% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (*.f64 (/.f64 b a) #s(literal 1/3 binary64))) | |
| 31.1% | (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (*.f64 b b) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))))) | |
| 31.1% | (*.f64 (/.f64 (-.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)))) | |
| 30.8% | (*.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 b (*.f64 #s(literal 3 binary64) a)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 #s(literal 9 binary64) (*.f64 a a)))))) | |
| 30.3% | (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) | |
| 30.2% | (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64))) | |
| 30.3% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) | |
| ▶ | 30.3% | (*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
| ▶ | 95.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
| 92.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) a (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64))) #s(literal -1/2 binary64)))) | |
| 91.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| 93.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* -9/16 (* (* c c) (/ c (pow b 5))))) a) (/ (* -3/8 (* c c)) (* (* b b) b))) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) c) c (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) a) #s(literal -9/16 binary64)) (*.f64 b b))) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| ✓ | 91.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b)) |
| 90.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) c)) (*.f64 c c))) b)) | |
| 91.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b)) | |
| 82.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) | |
| 95.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) c) (/.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 a b)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| 90.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| 90.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b))) | |
| 93.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (fma.f64 (*.f64 a (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| ✓ | 82.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
| 93.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64))) b)) c)) | |
| 93.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 a #s(literal -3/8 binary64)) c (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) b) b (*.f64 (*.f64 (*.f64 (*.f64 a c) a) #s(literal -9/16 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c)) | |
| 90.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) b)) c)) | |
| ▶ | 82.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
| 90.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) c) #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b)))) | |
| 90.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a))) | |
| 90.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 b c))) (*.f64 c c)))) |
Compiled 3 919 to 2 033 computations (48.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (-.f64 #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (/.f64 b a))) | |
| cost-diff | 320 | (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) #s(literal 3 binary64)) | |
| cost-diff | 384 | (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (/.f64 b a)) | |
| cost-diff | 3008 | (/.f64 (-.f64 #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (/.f64 b a))) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) #s(literal 3 binary64))) | |
| cost-diff | 0 | (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) (/.f64 b #s(literal 3 binary64))) a) | |
| cost-diff | 384 | (/.f64 b #s(literal 3 binary64)) | |
| cost-diff | 704 | (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) (/.f64 b #s(literal 3 binary64))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) | |
| cost-diff | 0 | (*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) | |
| cost-diff | 128 | (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) | |
| cost-diff | 320 | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a)) | |
| cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) b) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| cost-diff | 320 | (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))))) | |
| cost-diff | 320 | (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) | |
| cost-diff | 640 | (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) |
| 5 138× | lower-*.f32 |
| 5 116× | lower-fma.f32 |
| 5 108× | lower-fma.f64 |
| 5 094× | lower-*.f64 |
| 3 014× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 823 |
| 0 | 126 | 818 |
| 1 | 256 | 732 |
| 2 | 705 | 633 |
| 3 | 3224 | 605 |
| 4 | 5607 | 605 |
| 0 | 8589 | 593 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) |
(fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) |
(/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) |
c |
(*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)) |
(*.f64 (*.f64 b b) b) |
(*.f64 b b) |
b |
(*.f64 (*.f64 #s(literal -9/16 binary64) c) c) |
(*.f64 #s(literal -9/16 binary64) c) |
#s(literal -9/16 binary64) |
(*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))))) |
(*.f64 a #s(literal -1/6 binary64)) |
a |
#s(literal -1/6 binary64) |
(*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))) |
(*.f64 (*.f64 (*.f64 c c) c) c) |
(*.f64 (*.f64 c c) c) |
(*.f64 c c) |
(/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))) |
#s(literal 405/64 binary64) |
(*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)) |
(*.f64 (*.f64 (*.f64 b b) b) b) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 c c)) |
#s(literal -3/8 binary64) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(/.f64 c b) |
#s(literal -1/2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
(*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) |
#s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
b |
c |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
(neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) |
(fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) |
(*.f64 a c) |
a |
c |
#s(literal -3 binary64) |
(*.f64 b b) |
b |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a)) |
#s(literal 1 binary64) |
(*.f64 #s(literal -3 binary64) a) |
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) (/.f64 b #s(literal 3 binary64))) a) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) (/.f64 b #s(literal 3 binary64))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) |
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) |
(fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) |
(*.f64 a c) |
a |
c |
#s(literal -3 binary64) |
(*.f64 b b) |
b |
#s(literal 3 binary64) |
(/.f64 b #s(literal 3 binary64)) |
(/.f64 (-.f64 #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (/.f64 b a))) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) #s(literal 3 binary64))) |
(-.f64 #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (/.f64 b a))) |
#s(literal 3 binary64) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (/.f64 b a)) |
(/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) |
(*.f64 #s(literal 3 binary64) a) |
a |
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) |
(fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) |
(*.f64 a c) |
c |
#s(literal -3 binary64) |
(*.f64 b b) |
b |
(/.f64 b a) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) #s(literal 3 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 a a) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (/.f64 c (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)) (*.f64 (*.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) a) (*.f64 c c)))) (*.f64 (/.f64 c b) (fma.f64 a (*.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 a a) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (/.f64 c (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)) (*.f64 (*.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) a) (*.f64 c c)))) (*.f64 (/.f64 c b) (fma.f64 a (*.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) |
(fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) |
(fma.f64 (/.f64 c (*.f64 (*.f64 b b) b)) (fma.f64 (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 b b))) a (*.f64 #s(literal -3/8 binary64) c)) (*.f64 (*.f64 a a) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))))) |
(fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) |
(*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (/.f64 c (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)) (*.f64 (*.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) a) (*.f64 c c)))) |
(/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) |
(/.f64 c (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)) |
c |
(*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)) |
(*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) |
(*.f64 (*.f64 b b) b) |
(*.f64 b b) |
b |
(*.f64 (*.f64 #s(literal -9/16 binary64) c) c) |
(*.f64 #s(literal -9/16 binary64) c) |
#s(literal -9/16 binary64) |
(*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 (*.f64 c c) c) c)) a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) |
(*.f64 a #s(literal -1/6 binary64)) |
(*.f64 #s(literal -1/6 binary64) a) |
a |
#s(literal -1/6 binary64) |
(*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))) |
(*.f64 (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 c c) c) c)) |
(*.f64 (*.f64 (*.f64 c c) c) c) |
(*.f64 (*.f64 c c) c) |
(*.f64 c c) |
(/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))) |
(/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) |
#s(literal 405/64 binary64) |
(*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)) |
(*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b)) |
(*.f64 (*.f64 (*.f64 b b) b) b) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b)) |
(*.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 b b) b)) (*.f64 c c)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 c c)) |
#s(literal -3/8 binary64) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(/.f64 c b) |
#s(literal -1/2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
(*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) |
#s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
b |
c |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) b)) |
(neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) |
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) |
(-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) |
(sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) |
(fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
(*.f64 a c) |
(*.f64 c a) |
a |
c |
#s(literal -3 binary64) |
(*.f64 b b) |
b |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a)) |
(/.f64 #s(literal -1/3 binary64) a) |
#s(literal 1 binary64) |
(*.f64 #s(literal -3 binary64) a) |
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) (/.f64 b #s(literal 3 binary64))) a) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) b)) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) (/.f64 b #s(literal 3 binary64))) |
(*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) b)) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 3 binary64)) |
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) |
(sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) |
(fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
(*.f64 a c) |
(*.f64 c a) |
a |
c |
#s(literal -3 binary64) |
(*.f64 b b) |
b |
#s(literal 3 binary64) |
(/.f64 b #s(literal 3 binary64)) |
(*.f64 #s(literal 1/3 binary64) b) |
(/.f64 (-.f64 #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (/.f64 b a))) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) #s(literal 3 binary64))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) |
(-.f64 #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (/.f64 b a))) |
(fma.f64 (/.f64 b (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) a)) (*.f64 #s(literal -3 binary64) a) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (/.f64 b a)) |
(/.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) b) (*.f64 a (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))))) |
(/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) |
(/.f64 (*.f64 a #s(literal 3 binary64)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)))) |
(*.f64 #s(literal 3 binary64) a) |
(*.f64 a #s(literal 3 binary64)) |
a |
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) |
(sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) |
(fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
(*.f64 a c) |
(*.f64 c a) |
c |
#s(literal -3 binary64) |
(*.f64 b b) |
b |
(/.f64 b a) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) #s(literal 3 binary64)) |
(/.f64 (*.f64 #s(literal 9 binary64) a) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)))) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.30859375 | (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) #s(literal 3 binary64)) | |
| accuracy | 0.35775375976844204 | (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (/.f64 b a)) | |
| accuracy | 0.4147262695368841 | (/.f64 (-.f64 #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (/.f64 b a))) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) #s(literal 3 binary64))) | |
| accuracy | 44.515980465267916 | (-.f64 #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (/.f64 b a))) | |
| accuracy | 0.125 | (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) | |
| accuracy | 0.13671875 | (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) | |
| accuracy | 0.26171875 | (/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) (/.f64 b #s(literal 3 binary64))) a) | |
| accuracy | 44.713700647390056 | (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) (/.f64 b #s(literal 3 binary64))) | |
| accuracy | 0.13671875 | (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) | |
| accuracy | 0.28125 | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a)) | |
| accuracy | 0.38509750976844204 | (*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) | |
| accuracy | 44.54867370714094 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) | |
| accuracy | 0 | (/.f64 #s(literal -1/2 binary64) b) | |
| accuracy | 0.28125 | (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) | |
| accuracy | 3.9036991513200228 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| accuracy | 11.358063123812544 | #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) | |
| accuracy | 0.3522262695368841 | (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)) | |
| accuracy | 0.35775375976844204 | (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))))) | |
| accuracy | 0.390625 | (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)) | |
| accuracy | 2.9041678785258607 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
| 186.0ms | 176× | 1 | valid |
| 77.0ms | 80× | 0 | valid |
Compiled 742 to 77 computations (89.6% saved)
ival-mult: 89.0ms (41.3% of total)ival-div: 74.0ms (34.4% of total)adjust: 15.0ms (7% of total)ival-add: 12.0ms (5.6% of total)ival-sub: 8.0ms (3.7% of total)ival-sqrt: 6.0ms (2.8% of total)const: 4.0ms (1.9% of total)ival-neg: 4.0ms (1.9% of total)ival-pow: 3.0ms (1.4% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) (patch (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) (patch (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))))) (patch (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) (patch (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) (patch #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1/2 binary64) b) (patch (/.f64 #s(literal -1/2 binary64) b) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a)) (patch (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a)) #<representation binary64>) () ()) |
#s(alt (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) (patch (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) (patch (*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) #<representation binary64>) () ()) |
#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) (/.f64 b #s(literal 3 binary64))) (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) (/.f64 b #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 b #s(literal 3 binary64)) (patch (/.f64 b #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) (/.f64 b #s(literal 3 binary64))) a) (patch (/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) (/.f64 b #s(literal 3 binary64))) a) #<representation binary64>) () ()) |
#s(alt (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) (patch (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (/.f64 b a))) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) #s(literal 3 binary64))) (patch (/.f64 (-.f64 #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (/.f64 b a))) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (/.f64 b a)) (patch (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (/.f64 b a)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) #s(literal 3 binary64)) (patch (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (/.f64 b a))) (patch (-.f64 #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (/.f64 b a))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)) (patch (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)) (patch (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (patch (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -9/16 (/ (pow c 3) (pow b 5))) (taylor 0 c) (#s(alt (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) (patch (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) #<representation binary64>) () ())) ()) |
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#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)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) #<representation binary64>) () ())) ()) |
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#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)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -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))))) (taylor -inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) #<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 #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) #<representation binary64>) () ())) ()) |
#s(alt (* 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)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) #<representation binary64>) () ())) ()) |
#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 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) #<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 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) #<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 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (taylor -inf c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) #<representation binary64>) () ())) ()) |
#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 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) #<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 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -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))))))) (taylor -inf c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) (patch (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) (patch (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) #<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 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) (patch (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) #<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 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) (patch (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) #<representation binary64>) () ())) ()) |
#s(alt (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) (taylor inf c) (#s(alt (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) (patch (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 3) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) (taylor inf c) (#s(alt (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) (patch (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) (taylor inf c) (#s(alt (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) (patch (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) (taylor inf c) (#s(alt (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) (patch (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) #<representation binary64>) () ())) ()) |
#s(alt (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) (taylor -inf c) (#s(alt (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) (patch (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow c 3) (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))))) (taylor -inf c) (#s(alt (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) (patch (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))))) (taylor -inf c) (#s(alt (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) (patch (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))))) (taylor -inf c) (#s(alt (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) (patch (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (+ (* -1/2 (/ c (* (pow a 2) b))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))) (taylor inf a) (#s(alt (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) (patch (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5))))) (taylor -inf a) (#s(alt (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) (patch (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5))))) (taylor -inf a) (#s(alt (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) (patch (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))) (pow b 5)) (taylor 0 b) (#s(alt (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) (patch (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -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 5)) (taylor 0 b) (#s(alt (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) (patch (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -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 5)) (taylor 0 b) (#s(alt (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) (patch (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) #<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 (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) (patch (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) #<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 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) (patch (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) #<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 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) (patch (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor -inf b) (#s(alt (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) (patch (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) (taylor -inf b) (#s(alt (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) (patch (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)) (taylor -inf b) (#s(alt (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) (patch (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)) (taylor -inf b) (#s(alt (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) (patch (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) #<representation binary64>) () ())) ()) |
#s(alt (/ -1/2 b) (taylor 0 c) (#s(alt #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) (patch #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ())) ()) |
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#s(alt (- (* 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 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) (patch #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5))) (taylor inf c) (#s(alt #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) (patch #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) (taylor inf c) (#s(alt #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) (patch #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) (taylor inf c) (#s(alt #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) (patch #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) (taylor inf c) (#s(alt #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) (patch #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5))) (taylor -inf c) (#s(alt #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) (patch #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) (taylor -inf c) (#s(alt #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) (patch #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ (* -1 (/ (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* -9/16 (/ (pow a 2) (pow b 5))))) (taylor -inf c) (#s(alt #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) (patch #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ())) ()) |
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#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 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) (/.f64 b #s(literal 3 binary64))) (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) (/.f64 b #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
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177 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | a | @ | -inf | (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) |
| 7.0ms | c | @ | 0 | (* (/ (* 3 a) (sqrt (+ (* (* a c) -3) (* b b)))) 3) |
| 7.0ms | c | @ | inf | (/ (- 3 (* (/ (* 3 a) (sqrt (+ (* (* a c) -3) (* b b)))) (/ b a))) (* (/ (* 3 a) (sqrt (+ (* (* a c) -3) (* b b)))) 3)) |
| 5.0ms | a | @ | 0 | (/ (- 3 (* (/ (* 3 a) (sqrt (+ (* (* a c) -3) (* b b)))) (/ b a))) (* (/ (* 3 a) (sqrt (+ (* (* a c) -3) (* b b)))) 3)) |
| 4.0ms | a | @ | -inf | (/ (- 3 (* (/ (* 3 a) (sqrt (+ (* (* a c) -3) (* b b)))) (/ b a))) (* (/ (* 3 a) (sqrt (+ (* (* a c) -3) (* b b)))) 3)) |
| 1× | egg-herbie |
| 6 270× | lower-*.f64 |
| 6 270× | lower-*.f32 |
| 4 844× | lower-+.f64 |
| 4 844× | lower-+.f32 |
| 4 786× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1945 | 20117 |
| 1 | 5500 | 19843 |
| 0 | 8049 | 19010 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7)) |
(/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7)) |
(/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7)) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5)) |
(/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5)) |
(/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5)) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5))) |
(* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5))) |
(* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))) |
(+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))) |
(+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) |
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) |
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))) (/ 3/8 (* (pow b 3) (pow c 2))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))) (/ 3/8 (* (pow b 3) (pow c 2))))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))) c)))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))) c)))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* -9/16 (* a (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))) (pow b 7)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/ (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))) (pow b 3)) |
(/ (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (pow b 3)) |
(/ (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (pow b 3)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (* 9/16 (/ (* a (pow c 3)) (pow b 2)))) (pow b 3))) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (+ (* 9/16 (/ (* a (pow c 3)) (pow b 2))) (* 135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))))) (pow b 3))) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (+ (* 9/16 (/ (* a (pow c 3)) (pow b 2))) (* 135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))))) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))) |
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))) |
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (pow c 3) (pow b 5)))) a)))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (pow c 3) (pow b 5)))) a)))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* 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))))))) |
(* 1/3 (* (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 (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (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)))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow c 3) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -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 (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (+ (* -1/2 (/ c (* (pow a 2) b))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (+ (* -1/2 (/ c (* (pow a 2) b))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))) (pow b 5)) |
(/ (+ (* -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 5)) |
(/ (+ (* -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 5)) |
(* -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))))) 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) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)) |
(/ -1/2 b) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))) |
(- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))) |
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5))) |
(* (pow c 2) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* (pow c 2) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* (pow c 2) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5))) |
(* (pow c 2) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* (pow c 2) (+ (* -1 (/ (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* -9/16 (/ (pow a 2) (pow b 5))))) |
(* (pow c 2) (+ (* -1 (/ (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* -9/16 (/ (pow a 2) (pow b 5))))) |
(/ -1/2 b) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(- (* a (+ (* -9/16 (/ (* a (pow c 2)) (pow b 5))) (* -3/8 (/ c (pow b 3))))) (* 1/2 (/ 1 b))) |
(- (* a (+ (* -9/16 (/ (* a (pow c 2)) (pow b 5))) (* -3/8 (/ c (pow b 3))))) (* 1/2 (/ 1 b))) |
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3)))))) |
(* (pow a 2) (- (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3))))) (/ 1/2 (* (pow a 2) b)))) |
(* (pow a 2) (- (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3))))) (/ 1/2 (* (pow a 2) b)))) |
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5))))) |
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5))) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* -3/8 (* a (* (pow b 2) c)))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* (pow b 2) (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* (pow b 2) (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))))) (pow b 5)) |
(/ -1/2 b) |
(/ (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) b) |
(/ (- (+ (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -3/8 (/ (* a c) (pow b 2)))) 1/2) b) |
(/ (- (+ (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -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))) (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) b)) |
(* -1 (/ (+ 1/2 (+ (* 3/8 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) 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) |
(/ -1/3 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) |
(* 3/2 (/ (* a c) b)) |
(* a (- (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* -3/2 (/ c b)))) |
(* a (- (* a (- (* 27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b)))) |
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* -27/16 (/ (pow c 3) (pow b 5))))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b)))) |
(* -1 (* (sqrt (* a c)) (sqrt -3))) |
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))) |
(* -1 (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* -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))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* 3/2 (/ (* a c) b)) |
(* c (- (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* -3/2 (/ a b)))) |
(* c (- (* c (- (* 27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b)))) |
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* -27/16 (/ (pow a 3) (pow b 5))))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b)))) |
(* -1 (* (sqrt (* a c)) (sqrt -3))) |
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))) |
(* -1 (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* -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))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* (sqrt (* a c)) (sqrt -3))) |
(- b (* (sqrt (* a c)) (sqrt -3))) |
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3))) |
(- (* b (+ 1 (* 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)))))))) (* (sqrt (* a c)) (sqrt -3))) |
(* 3/2 (/ (* a c) b)) |
(/ (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -3/2 (* a c))) 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) |
(/ (- (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -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) |
(* 2 b) |
(* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 2))) |
(* -1 (* b (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -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)) (* -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))))))) |
(* 1/3 (* (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))))))) |
(* -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 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)))))))) |
(* -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 (- (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) (* 1/3 (/ b a)))) |
(* 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 (/ b a)))) |
(* -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 (/ (- (* -1/6 (* (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 (* 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 (- (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))) (* 1/3 (/ b c)))) |
(* 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 (/ b c)))) |
(* -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 (/ (- (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) 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))))))) |
(* 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)))))))) |
(* 1/3 b) |
(* 1/3 b) |
(* 1/3 b) |
(* 1/3 b) |
(* 1/3 b) |
(* 1/3 b) |
(* 1/3 b) |
(* 1/3 b) |
(* 1/3 b) |
(* 1/3 b) |
(* 1/3 b) |
(* 1/3 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))))) |
(* -1/2 (/ 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 (* (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))))))) |
(* 1/3 b) |
(+ (* -1/2 (/ (* a c) b)) (* 1/3 b)) |
(+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(* a (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(* 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)))))) |
(* a (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 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 (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))) |
(* 1/3 b) |
(+ (* -1/2 (/ (* a c) b)) (* 1/3 b)) |
(+ (* 1/3 b) (* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 1/3 b) (* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3)))))))) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(* c (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))) |
(* 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)))))) |
(* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 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 (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (* a c)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* (pow b 2) (+ (* -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 (* (sqrt (* a c)) (sqrt -3))) (* (pow b 2) (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/48 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
(* 1/3 b) |
(* b (+ 1/3 (* -1/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1/3 (+ (* -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))))))) |
(* -1/3 b) |
(* -1 (* b (+ 1/3 (* -1/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1/3 (+ (* -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 (/ c b)) |
(+ (* -1/2 (/ c b)) (* 1/9 (* a (+ (* 3/2 (* (pow b 3) (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6)))))) (* 27/4 (/ (pow c 2) (pow b 3))))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* 1/9 (* a (+ (* -9/4 (* b (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))))) (+ (* 3/2 (* (pow b 3) (+ (* -27 (/ (pow c 3) (pow b 8))) (* -3/2 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))) (pow b 2)))))) (* 81/16 (/ (pow c 3) (pow b 5))))))) (* 1/9 (+ (* 3/2 (* (pow b 3) (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6)))))) (* 27/4 (/ (pow c 2) (pow b 3)))))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* 1/9 (+ (* 3/2 (* (pow b 3) (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6)))))) (* 27/4 (/ (pow c 2) (pow b 3))))) (* a (+ (* 1/9 (* a (+ (* -9/4 (* b (* c (+ (* -27 (/ (pow c 3) (pow b 8))) (* -3/2 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))) (pow b 2))))))) (+ (* -27/16 (/ (* (pow c 2) (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))) b)) (+ (* 3/2 (* (pow b 3) (+ (* -81 (/ (pow c 4) (pow b 10))) (+ (* -3/2 (/ (* c (+ (* -27 (/ (pow c 3) (pow b 8))) (* -3/2 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))) (pow b 2))))) (pow b 2))) (* 1/4 (* (pow b 2) (pow (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6)))) 2))))))) (* 243/32 (/ (pow c 4) (pow b 7)))))))) (* 1/9 (+ (* -9/4 (* b (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))))) (+ (* 3/2 (* (pow b 3) (+ (* -27 (/ (pow c 3) (pow b 8))) (* -3/2 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))) (pow b 2)))))) (* 81/16 (/ (pow c 3) (pow b 5))))))))))) |
(* 1/9 (* (sqrt (/ c a)) (* (sqrt -3) (- 3 (* 3 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1/3)))))))) |
(+ (* 1/9 (* (sqrt (/ c a)) (* (sqrt -3) (- 3 (* 3 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1/3)))))))) (* 1/9 (/ (+ (* 1/6 (/ (* (pow b 3) (sqrt -3)) (* c (sqrt -1/3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (- 3 (* 3 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1/3)))))) (sqrt -3))))) (pow a 2)))) |
(+ (* 1/162 (/ (* (pow b 5) (sqrt -3)) (* (pow a 3) (* (pow c 2) (sqrt -1/3))))) (+ (* 1/9 (* (sqrt (/ c a)) (* (sqrt -3) (- 3 (* 3 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1/3)))))))) (* 1/9 (/ (+ (* 1/6 (/ (* (pow b 3) (sqrt -3)) (* c (sqrt -1/3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (- 3 (* 3 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1/3)))))) (sqrt -3))))) (pow a 2))))) |
(+ (* 1/162 (/ (* (pow b 5) (sqrt -3)) (* (pow a 3) (* (pow c 2) (sqrt -1/3))))) (+ (* 1/9 (* (sqrt (/ c a)) (* (sqrt -3) (- 3 (* 3 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1/3)))))))) (+ (* 1/9 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (- 3 (* 3 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1/3)))))) (pow (sqrt -3) 3)))) (+ (* 1/12 (/ (* a (pow b 5)) (* (pow c 2) (* (sqrt -3) (sqrt -1/3))))) (* 3/2 (/ (* b (* c (* (sqrt -3) (+ (* 1/324 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/3) 2)))) (* 1/81 (/ (pow b 6) (pow c 4))))))) (sqrt -1/3))))) (pow a 4))) (* 1/9 (/ (+ (* 1/6 (/ (* (pow b 3) (sqrt -3)) (* c (sqrt -1/3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (- 3 (* 3 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1/3)))))) (sqrt -3))))) (pow a 2)))))) |
(* -1/9 (* (sqrt (/ c a)) (* (sqrt -1) (* (sqrt 3) (- 3 (* 3 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (sqrt 1/3)))))))))) |
(+ (* -1/9 (* (sqrt (/ c a)) (* (sqrt -1) (* (sqrt 3) (- 3 (* 3 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (sqrt 1/3)))))))))) (* -1/9 (/ (+ (* 1/6 (/ (* (pow b 3) (sqrt 3)) (* c (sqrt 1/3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (* (sqrt -1) (- 3 (* 3 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (sqrt 1/3)))))))) (sqrt 3))))) (pow a 2)))) |
(+ (* -1/9 (* (sqrt (/ c a)) (* (sqrt -1) (* (sqrt 3) (- 3 (* 3 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (sqrt 1/3)))))))))) (+ (* -1/9 (/ (+ (* 1/6 (/ (* (pow b 3) (sqrt 3)) (* c (sqrt 1/3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (* (sqrt -1) (- 3 (* 3 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (sqrt 1/3)))))))) (sqrt 3))))) (pow a 2))) (* -1/162 (/ (* (pow b 5) (sqrt 3)) (* (pow a 3) (* (pow c 2) (sqrt 1/3))))))) |
(+ (* -1 (/ (+ (* 1/162 (/ (* (pow b 5) (sqrt 3)) (* (pow c 2) (sqrt 1/3)))) (* 1/9 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (* (sqrt -1) (- 3 (* 3 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (sqrt 1/3)))))))) (pow (sqrt 3) 3)))) (+ (* -1/12 (/ (* a (pow b 5)) (* (pow c 2) (* (sqrt 1/3) (sqrt 3))))) (* 3/2 (/ (* b (* c (* (sqrt 3) (+ (* -1/324 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt 1/3) 2)))) (* 1/81 (/ (pow b 6) (pow c 4))))))) (sqrt 1/3))))) a))) (pow a 3))) (+ (* -1/9 (* (sqrt (/ c a)) (* (sqrt -1) (* (sqrt 3) (- 3 (* 3 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (sqrt 1/3)))))))))) (* -1/9 (/ (+ (* 1/6 (/ (* (pow b 3) (sqrt 3)) (* c (sqrt 1/3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (* (sqrt -1) (- 3 (* 3 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (sqrt 1/3)))))))) (sqrt 3))))) (pow a 2))))) |
(* -1/2 (/ c b)) |
(* c (- (* 1/9 (* c (+ (* 3/2 (/ (* (pow b 3) (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))) a)) (* 27/4 (/ a (pow b 3)))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* 1/9 (* c (+ (* -9/4 (* b (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))))) (+ (* 3/2 (/ (* (pow b 3) (+ (* -27 (/ (pow a 3) (pow b 8))) (* -3/2 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))) (pow b 2))))) a)) (* 81/16 (/ (pow a 2) (pow b 5))))))) (* 1/9 (+ (* 3/2 (/ (* (pow b 3) (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))) a)) (* 27/4 (/ a (pow b 3))))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* 1/9 (+ (* 3/2 (/ (* (pow b 3) (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))) a)) (* 27/4 (/ a (pow b 3))))) (* c (+ (* 1/9 (* c (+ (* -9/4 (* b (+ (* -27 (/ (pow a 3) (pow b 8))) (* -3/2 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))) (pow b 2)))))) (+ (* -27/16 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))) b)) (+ (* 3/2 (/ (* (pow b 3) (+ (* -81 (/ (pow a 4) (pow b 10))) (+ (* -3/2 (/ (* a (+ (* -27 (/ (pow a 3) (pow b 8))) (* -3/2 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))) (pow b 2))))) (pow b 2))) (* 1/4 (* (pow b 2) (pow (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))) 2)))))) a)) (* 243/32 (/ (pow a 3) (pow b 7)))))))) (* 1/9 (+ (* -9/4 (* b (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))))) (+ (* 3/2 (/ (* (pow b 3) (+ (* -27 (/ (pow a 3) (pow b 8))) (* -3/2 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))) (pow b 2))))) a)) (* 81/16 (/ (pow a 2) (pow b 5)))))))))) (* 1/2 (/ 1 b)))) |
(* 1/9 (* (sqrt (/ c a)) (* (sqrt -3) (- 3 (* 3 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1/3)))))))) |
(* c (+ (* 1/9 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (- 3 (* 3 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1/3)))))))) (* 1/9 (/ (+ (* 1/6 (/ (* (pow b 3) (sqrt -3)) (* (pow a 2) (sqrt -1/3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (- 3 (* 3 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1/3)))))) (sqrt -3))))) (pow c 2))))) |
(* c (+ (* 1/162 (/ (* (pow b 5) (sqrt -3)) (* (pow a 3) (* (pow c 3) (sqrt -1/3))))) (+ (* 1/9 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (- 3 (* 3 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1/3)))))))) (* 1/9 (/ (+ (* 1/6 (/ (* (pow b 3) (sqrt -3)) (* (pow a 2) (sqrt -1/3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (- 3 (* 3 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1/3)))))) (sqrt -3))))) (pow c 2)))))) |
(* c (+ (* 1/162 (/ (* (pow b 5) (sqrt -3)) (* (pow a 3) (* (pow c 3) (sqrt -1/3))))) (+ (* 1/9 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (- 3 (* 3 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1/3)))))))) (+ (* 1/9 (/ (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (- 3 (* 3 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1/3)))))) (pow (sqrt -3) 3)))) (+ (* 1/12 (/ (* (pow b 5) c) (* (pow a 3) (* (sqrt -3) (sqrt -1/3))))) (* 3/2 (/ (* b (* (sqrt -3) (+ (* 1/324 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/3) 2)))) (* 1/81 (/ (pow b 6) (pow a 4)))))) (sqrt -1/3))))) (pow c 4))) (* 1/9 (/ (+ (* 1/6 (/ (* (pow b 3) (sqrt -3)) (* (pow a 2) (sqrt -1/3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (- 3 (* 3 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1/3)))))) (sqrt -3))))) (pow c 2))))))) |
(* -1/9 (* (sqrt (/ c a)) (* (sqrt -1) (* (sqrt 3) (- 3 (* 3 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (sqrt 1/3)))))))))) |
(* -1 (* c (+ (* 1/9 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt 3) (- 3 (* 3 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (sqrt 1/3)))))))))) (* 1/9 (/ (+ (* 1/6 (/ (* (pow b 3) (sqrt 3)) (* (pow a 2) (sqrt 1/3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (* (sqrt -1) (- 3 (* 3 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (sqrt 1/3)))))))) (sqrt 3))))) (pow c 2)))))) |
(* -1 (* c (+ (* 1/162 (/ (* (pow b 5) (sqrt 3)) (* (pow a 3) (* (pow c 3) (sqrt 1/3))))) (+ (* 1/9 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt 3) (- 3 (* 3 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (sqrt 1/3)))))))))) (* 1/9 (/ (+ (* 1/6 (/ (* (pow b 3) (sqrt 3)) (* (pow a 2) (sqrt 1/3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (* (sqrt -1) (- 3 (* 3 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (sqrt 1/3)))))))) (sqrt 3))))) (pow c 2))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/9 (/ (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (* (sqrt -1) (- 3 (* 3 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (sqrt 1/3)))))))) (pow (sqrt 3) 3)))) (+ (* -1/12 (/ (* (pow b 5) c) (* (pow a 3) (* (sqrt 1/3) (sqrt 3))))) (* 3/2 (/ (* b (* (sqrt 3) (+ (* -1/324 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt 1/3) 2)))) (* 1/81 (/ (pow b 6) (pow a 4)))))) (sqrt 1/3))))) c)) (* -1/162 (/ (* (pow b 5) (sqrt 3)) (* (pow a 3) (sqrt 1/3))))) (pow c 3))) (+ (* 1/9 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt 3) (- 3 (* 3 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (sqrt 1/3)))))))))) (* 1/9 (/ (+ (* 1/6 (/ (* (pow b 3) (sqrt 3)) (* (pow a 2) (sqrt 1/3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (* (sqrt -1) (- 3 (* 3 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (sqrt 1/3)))))))) (sqrt 3))))) (pow c 2))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ (* b (* (sqrt -3) (sqrt -1/3))) a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* -1/3 (/ (* (sqrt -3) (sqrt -1/3)) a)) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3))))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* -1/3 (/ (* (sqrt -3) (sqrt -1/3)) a)) (* b (+ (* 1/9 (* b (+ (* -3/2 (/ (sqrt -1/3) (* (pow a 2) (* c (sqrt -3))))) (* 1/6 (/ (sqrt -3) (* (pow a 2) (* c (sqrt -1/3)))))))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3))))))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* 1/9 (/ (+ (* 3/2 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) a)) (* 27/4 (* a (pow c 2)))) (pow b 2)))) b) |
(/ (+ (* -1/2 c) (+ (* 1/9 (/ (+ (* -9/4 (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))) (+ (* 3/2 (/ (+ (* -27 (* (pow a 3) (pow c 3))) (* -3/2 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))))) a)) (* 81/16 (* (pow a 2) (pow c 3))))) (pow b 4))) (* 1/9 (/ (+ (* 3/2 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) a)) (* 27/4 (* a (pow c 2)))) (pow b 2))))) b) |
(/ (+ (* -1/2 c) (+ (* 1/9 (/ (+ (* -9/4 (* c (+ (* -27 (* (pow a 3) (pow c 3))) (* -3/2 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))))))) (+ (* -27/16 (* a (* (pow c 2) (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))))) (+ (* 3/2 (/ (+ (* -81 (* (pow a 4) (pow c 4))) (+ (* -3/2 (* a (* c (+ (* -27 (* (pow a 3) (pow c 3))) (* -3/2 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))))))))) (* 1/4 (pow (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) 2)))) a)) (* 243/32 (* (pow a 3) (pow c 4)))))) (pow b 6))) (+ (* 1/9 (/ (+ (* -9/4 (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))) (+ (* 3/2 (/ (+ (* -27 (* (pow a 3) (pow c 3))) (* -3/2 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))))) a)) (* 81/16 (* (pow a 2) (pow c 3))))) (pow b 4))) (* 1/9 (/ (+ (* 3/2 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) a)) (* 27/4 (* a (pow c 2)))) (pow b 2)))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* 1/9 (/ (+ (* -9 c) (* 9/2 c)) (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* 1/9 (/ (+ (* -27/2 (* a (pow c 2))) (* -3/2 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) a))) (pow b 4))) (+ (* 1/9 (/ (+ (* -9 c) (* 9/2 c)) (pow b 2))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* 1/9 (/ (+ (* -27/2 (* a (pow c 2))) (* -3/2 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) a))) (pow b 4))) (+ (* 1/9 (/ (+ (* -81/8 (* (pow a 2) (pow c 3))) (+ (* -81/16 (* (pow a 2) (pow c 3))) (+ (* -3/2 (/ (+ (* -27 (* (pow a 3) (pow c 3))) (* -3/2 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))))) a)) (* 9/4 (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))))))) (pow b 6))) (+ (* 1/9 (/ (+ (* -9 c) (* 9/2 c)) (pow b 2))) (* 2/3 (/ 1 a))))))) |
3 |
(+ 3 (* 9/2 (/ (* a c) (pow b 2)))) |
(+ 3 (* a (+ (* -3/2 (* a (* (pow b 2) (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))))) (* 9/2 (/ c (pow b 2)))))) |
(+ 3 (* a (+ (* 9/2 (/ c (pow b 2))) (* a (+ (* -3/2 (* a (* (pow b 2) (+ (* -27 (/ (pow c 3) (pow b 8))) (* -3/2 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))) (pow b 2))))))) (* -3/2 (* (pow b 2) (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))))))))) |
(* 3 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1/3)))) |
(+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 3) (sqrt -1/3)))) (* 3 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1/3))))) |
(+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 3) (sqrt -1/3)))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 5) (sqrt -1/3)))) (* 3 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1/3)))))) |
(+ (* -3/2 (* (sqrt (/ c (pow a 7))) (/ (* b (+ (* 1/324 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/3) 2)))) (* 1/81 (/ (pow b 6) (pow c 4))))) (sqrt -1/3)))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 3) (sqrt -1/3)))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 5) (sqrt -1/3)))) (* 3 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1/3))))))) |
(* 3 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (sqrt 1/3))))) |
(+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 3) (sqrt -1)) (sqrt 1/3)))) (* 3 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (sqrt 1/3)))))) |
(+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 3) (sqrt -1)) (sqrt 1/3)))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 5) (sqrt -1)) (sqrt 1/3)))) (* 3 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (sqrt 1/3))))))) |
(+ (* -1 (/ (+ (* 1/18 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 5) (sqrt -1)) (sqrt 1/3)))) (* 3/2 (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (+ (* -1/324 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt 1/3) 2)))) (* 1/81 (/ (pow b 6) (pow c 4)))))) (sqrt 1/3))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 3) (sqrt -1)) (sqrt 1/3)))) (* 3 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (sqrt 1/3))))))) |
3 |
(+ 3 (* 9/2 (/ (* a c) (pow b 2)))) |
(+ 3 (* c (+ (* -3/2 (* (pow b 2) (* c (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))))) (* 9/2 (/ a (pow b 2)))))) |
(+ 3 (* c (+ (* 9/2 (/ a (pow b 2))) (* c (+ (* -3/2 (* (pow b 2) (* c (+ (* -27 (/ (pow a 3) (pow b 8))) (* -3/2 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))) (pow b 2))))))) (* -3/2 (* (pow b 2) (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))))))))) |
(* 3 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1/3)))) |
(+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 3) (sqrt -1/3)))) (* 3 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1/3))))) |
(+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 3) (sqrt -1/3)))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 5) (sqrt -1/3)))) (* 3 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1/3)))))) |
(+ (* -3/2 (* (sqrt (/ a (pow c 7))) (/ (* b (+ (* 1/324 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/3) 2)))) (* 1/81 (/ (pow b 6) (pow a 4))))) (sqrt -1/3)))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 3) (sqrt -1/3)))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 5) (sqrt -1/3)))) (* 3 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1/3))))))) |
(* 3 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (sqrt 1/3))))) |
(+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 3) (sqrt -1)) (sqrt 1/3)))) (* 3 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (sqrt 1/3)))))) |
(+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 3) (sqrt -1)) (sqrt 1/3)))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 5) (sqrt -1)) (sqrt 1/3)))) (* 3 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (sqrt 1/3))))))) |
(+ (* -1 (/ (+ (* 1/18 (* (sqrt (/ c (pow a 5))) (/ (* (pow b 5) (sqrt -1)) (sqrt 1/3)))) (* 3/2 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1/324 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt 1/3) 2)))) (* 1/81 (/ (pow b 6) (pow a 4)))))) (sqrt 1/3))))) (pow c 3))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 3) (sqrt -1)) (sqrt 1/3)))) (* 3 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (sqrt 1/3))))))) |
(* 3 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1/3)))) |
(* b (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/3)))) (* 3 (* (sqrt (/ 1 (* a c))) (sqrt -1/3))))) |
(* b (+ (* 3 (* (sqrt (/ 1 (* a c))) (sqrt -1/3))) (* (pow b 2) (+ (* -3/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/324 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/3) 2))))) (* 1/27 (/ 1 (* (pow a 3) (pow c 3)))))) (sqrt -1/3)))) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/3)))))))) |
(* b (+ (* 3 (* (sqrt (/ 1 (* a c))) (sqrt -1/3))) (* (pow b 2) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/3)))) (* (pow b 2) (+ (* -3/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/18 (/ (+ (* 1/324 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/3) 2))))) (* 1/27 (/ 1 (* (pow a 3) (pow c 3))))) (* a (* c (pow (sqrt -1/3) 2))))) (* 1/81 (/ 1 (* (pow a 4) (pow c 4)))))) (sqrt -1/3)))) (* -3/2 (* (sqrt (* a c)) (/ (+ (* 1/324 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/3) 2))))) (* 1/27 (/ 1 (* (pow a 3) (pow c 3))))) (sqrt -1/3)))))))))) |
3 |
(+ 3 (* 9/2 (/ (* a c) (pow b 2)))) |
(+ 3 (+ (* -3/2 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 9/2 (/ (* a c) (pow b 2))))) |
(+ 3 (+ (* -3/2 (/ (+ (* -27 (* (pow a 3) (pow c 3))) (* -3/2 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -3/2 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 9/2 (/ (* a c) (pow b 2)))))) |
-3 |
(- (* -9/2 (/ (* a c) (pow b 2))) 3) |
(- (+ (* -9/2 (/ (* a c) (pow b 2))) (* 3/2 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 4)))) 3) |
(- (+ (* -9/2 (/ (* a c) (pow b 2))) (+ (* 3/2 (/ (+ (* -27 (* (pow a 3) (pow c 3))) (* -3/2 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (* 3/2 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 4))))) 3) |
(* 9 (/ a b)) |
(* a (+ (* 27/2 (/ (* a c) (pow b 3))) (* 9 (/ 1 b)))) |
(* a (+ (* a (+ (* -9/2 (* a (* b (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))))) (* 27/2 (/ c (pow b 3))))) (* 9 (/ 1 b)))) |
(* a (+ (* a (+ (* 27/2 (/ c (pow b 3))) (* a (+ (* -9/2 (* a (* b (+ (* -27 (/ (pow c 3) (pow b 8))) (* -3/2 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))) (pow b 2))))))) (* -9/2 (* b (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6)))))))))) (* 9 (/ 1 b)))) |
(* 9 (* (sqrt (/ a c)) (sqrt -1/3))) |
(* a (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/3)))) (* 9 (* (sqrt (/ 1 (* a c))) (sqrt -1/3))))) |
(* a (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/3)))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/3)))) (* 9 (* (sqrt (/ 1 (* a c))) (sqrt -1/3)))))) |
(* a (+ (* -9/2 (* (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)))) (sqrt -1/3)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/3)))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/3)))) (* 9 (* (sqrt (/ 1 (* a c))) (sqrt -1/3))))))) |
(* 9 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 1/3)))) |
(* -1 (* a (+ (* -9 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 1/3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 1/3))))))) |
(* -1 (* a (+ (* -9 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 1/3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (sqrt 1/3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 1/3)))))))) |
(* -1 (* a (+ (* -9 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 1/3)))) (+ (* -1 (/ (+ (* -9/2 (* (sqrt (/ c a)) (/ (* (sqrt -1) (+ (* -1/324 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt 1/3) 2)))) (* 1/81 (/ (pow b 6) (pow c 4))))) (sqrt 1/3)))) (* -1/6 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 4) (sqrt -1)) (sqrt 1/3))))) (pow a 3))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 1/3)))))))) |
(* 9 (/ a b)) |
(+ (* 9 (/ a b)) (* 27/2 (/ (* (pow a 2) c) (pow b 3)))) |
(+ (* 9 (/ a b)) (* c (+ (* -9/2 (* a (* b (* c (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))))))) (* 27/2 (/ (pow a 2) (pow b 3)))))) |
(+ (* 9 (/ a b)) (* c (+ (* 27/2 (/ (pow a 2) (pow b 3))) (* c (+ (* -9/2 (* a (* b (* c (+ (* -27 (/ (pow a 3) (pow b 8))) (* -3/2 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))) (pow b 2)))))))) (* -9/2 (* a (* b (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))))))))))) |
(* 9 (* (sqrt (/ a c)) (sqrt -1/3))) |
(+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -1/3)))) (* 9 (* (sqrt (/ a c)) (sqrt -1/3)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -1/3)))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (sqrt -1/3)))) (* 9 (* (sqrt (/ a c)) (sqrt -1/3))))) |
(+ (* -9/2 (* (sqrt (/ (pow a 3) (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)))) (sqrt -1/3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -1/3)))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (sqrt -1/3)))) (* 9 (* (sqrt (/ a c)) (sqrt -1/3)))))) |
(* 9 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 1/3)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 1/3)))) (* 9 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 1/3))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 1/3)))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (sqrt 1/3)))) (* 9 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 1/3)))))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (sqrt 1/3)))) (* 9/2 (* (sqrt (/ (pow a 3) 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))))) (sqrt 1/3))))) (pow c 3))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 1/3)))) (* 9 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 1/3)))))) |
(* 9 (* (sqrt (/ a c)) (sqrt -1/3))) |
(+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -1/3)))) (* 9 (* (sqrt (/ a c)) (sqrt -1/3)))) |
(+ (* 9 (* (sqrt (/ a c)) (sqrt -1/3))) (* (pow b 2) (+ (* -9/2 (* (sqrt (* (pow a 3) c)) (/ (* (pow b 2) (+ (* 1/324 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/3) 2))))) (* 1/27 (/ 1 (* (pow a 3) (pow c 3)))))) (sqrt -1/3)))) (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (sqrt -1/3))))))) |
(+ (* 9 (* (sqrt (/ a c)) (sqrt -1/3))) (* (pow b 2) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (sqrt -1/3)))) (* (pow b 2) (+ (* -9/2 (* (sqrt (* (pow a 3) c)) (/ (* (pow b 2) (+ (* 1/18 (/ (+ (* 1/324 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/3) 2))))) (* 1/27 (/ 1 (* (pow a 3) (pow c 3))))) (* a (* c (pow (sqrt -1/3) 2))))) (* 1/81 (/ 1 (* (pow a 4) (pow c 4)))))) (sqrt -1/3)))) (* -9/2 (* (sqrt (* (pow a 3) c)) (/ (+ (* 1/324 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/3) 2))))) (* 1/27 (/ 1 (* (pow a 3) (pow c 3))))) (sqrt -1/3))))))))) |
(* 9 (/ a b)) |
(/ (+ (* 9 a) (* 27/2 (/ (* (pow a 2) c) (pow b 2)))) b) |
(/ (+ (* -9/2 (/ (* a (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))) (pow b 4))) (+ (* 9 a) (* 27/2 (/ (* (pow a 2) c) (pow b 2))))) b) |
(/ (+ (* -9/2 (/ (* a (+ (* -27 (* (pow a 3) (pow c 3))) (* -3/2 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))))))) (pow b 6))) (+ (* -9/2 (/ (* a (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))) (pow b 4))) (+ (* 9 a) (* 27/2 (/ (* (pow a 2) c) (pow b 2)))))) b) |
(* -9 (/ a b)) |
(* -1 (/ (+ (* 9 a) (* 27/2 (/ (* (pow a 2) c) (pow b 2)))) b)) |
(* -1 (/ (+ (* -9/2 (/ (* a (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))) (pow b 4))) (+ (* 9 a) (* 27/2 (/ (* (pow a 2) c) (pow b 2))))) b)) |
(* -1 (/ (+ (* -9/2 (/ (* a (+ (* -27 (* (pow a 3) (pow c 3))) (* -3/2 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))))))) (pow b 6))) (+ (* -9/2 (/ (* a (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))) (pow b 4))) (+ (* 9 a) (* 27/2 (/ (* (pow a 2) c) (pow b 2)))))) b)) |
(* -9/2 (/ (* a c) (pow b 2))) |
(* a (- (* 3/2 (* a (* (pow b 2) (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))))) (* 9/2 (/ c (pow b 2))))) |
(* a (- (* a (- (* 3/2 (* a (* (pow b 2) (+ (* -27 (/ (pow c 3) (pow b 8))) (* -3/2 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))) (pow b 2))))))) (* -3/2 (* (pow b 2) (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6)))))))) (* 9/2 (/ c (pow b 2))))) |
(* a (- (* a (- (* a (- (* 3/2 (* a (* (pow b 2) (+ (* -81 (/ (pow c 4) (pow b 10))) (+ (* -3/2 (/ (* c (+ (* -27 (/ (pow c 3) (pow b 8))) (* -3/2 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))) (pow b 2))))) (pow b 2))) (* 1/4 (* (pow b 2) (pow (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6)))) 2)))))))) (* -3/2 (* (pow b 2) (+ (* -27 (/ (pow c 3) (pow b 8))) (* -3/2 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))) (pow b 2)))))))) (* -3/2 (* (pow b 2) (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6)))))))) (* 9/2 (/ c (pow b 2))))) |
(- 3 (* 3 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1/3))))) |
(- (+ 3 (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 3) (sqrt -1/3))))) (* 3 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1/3))))) |
(- (+ 3 (* 1/18 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 5) (sqrt -1/3))))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 3) (sqrt -1/3)))) (* 3 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1/3)))))) |
(- (+ 3 (* 3/2 (* (sqrt (/ c (pow a 7))) (/ (* b (+ (* 1/324 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/3) 2)))) (* 1/81 (/ (pow b 6) (pow c 4))))) (sqrt -1/3))))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 3) (sqrt -1/3)))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 5) (sqrt -1/3)))) (* 3 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1/3))))))) |
(- 3 (* 3 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (sqrt 1/3)))))) |
(- (+ 3 (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 3) (sqrt -1)) (sqrt 1/3))))) (* 3 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (sqrt 1/3)))))) |
(- (+ 3 (* 1/18 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 5) (sqrt -1)) (sqrt 1/3))))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 3) (sqrt -1)) (sqrt 1/3)))) (* 3 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (sqrt 1/3))))))) |
(- (+ 3 (* -1 (/ (- (* -3/2 (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (+ (* -1/324 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt 1/3) 2)))) (* 1/81 (/ (pow b 6) (pow c 4)))))) (sqrt 1/3)))) (* 1/18 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 5) (sqrt -1)) (sqrt 1/3))))) (pow a 3)))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 3) (sqrt -1)) (sqrt 1/3)))) (* 3 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (sqrt 1/3))))))) |
(* -9/2 (/ (* a c) (pow b 2))) |
(* c (- (* 3/2 (* (pow b 2) (* c (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))))) (* 9/2 (/ a (pow b 2))))) |
(* c (- (* c (- (* 3/2 (* (pow b 2) (* c (+ (* -27 (/ (pow a 3) (pow b 8))) (* -3/2 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))) (pow b 2))))))) (* -3/2 (* (pow b 2) (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))))))) (* 9/2 (/ a (pow b 2))))) |
(* c (- (* c (- (* c (- (* 3/2 (* (pow b 2) (* c (+ (* -81 (/ (pow a 4) (pow b 10))) (+ (* -3/2 (/ (* a (+ (* -27 (/ (pow a 3) (pow b 8))) (* -3/2 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))) (pow b 2))))) (pow b 2))) (* 1/4 (* (pow b 2) (pow (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))) 2)))))))) (* -3/2 (* (pow b 2) (+ (* -27 (/ (pow a 3) (pow b 8))) (* -3/2 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))) (pow b 2)))))))) (* -3/2 (* (pow b 2) (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))))))) (* 9/2 (/ a (pow b 2))))) |
(- 3 (* 3 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1/3))))) |
(- (+ 3 (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 3) (sqrt -1/3))))) (* 3 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1/3))))) |
(- (+ 3 (* 1/18 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 5) (sqrt -1/3))))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 3) (sqrt -1/3)))) (* 3 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1/3)))))) |
(- (+ 3 (* 3/2 (* (sqrt (/ a (pow c 7))) (/ (* b (+ (* 1/324 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/3) 2)))) (* 1/81 (/ (pow b 6) (pow a 4))))) (sqrt -1/3))))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 3) (sqrt -1/3)))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 5) (sqrt -1/3)))) (* 3 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1/3))))))) |
(- 3 (* 3 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (sqrt 1/3)))))) |
(- (+ 3 (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 3) (sqrt -1)) (sqrt 1/3))))) (* 3 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (sqrt 1/3)))))) |
(- (+ 3 (* 1/18 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 5) (sqrt -1)) (sqrt 1/3))))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 3) (sqrt -1)) (sqrt 1/3)))) (* 3 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (sqrt 1/3))))))) |
(- (+ 3 (* -1 (/ (- (* -3/2 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1/324 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt 1/3) 2)))) (* 1/81 (/ (pow b 6) (pow a 4)))))) (sqrt 1/3)))) (* 1/18 (* (sqrt (/ c (pow a 5))) (/ (* (pow b 5) (sqrt -1)) (sqrt 1/3))))) (pow c 3)))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 3) (sqrt -1)) (sqrt 1/3)))) (* 3 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (sqrt 1/3))))))) |
3 |
(+ 3 (* -3 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1/3))))) |
(+ 3 (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/3)))) (* 3 (* (sqrt (/ 1 (* a c))) (sqrt -1/3)))))) |
(+ 3 (* b (- (* (pow b 2) (- (* 3/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/324 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/3) 2))))) (* 1/27 (/ 1 (* (pow a 3) (pow c 3)))))) (sqrt -1/3)))) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/3)))))) (* 3 (* (sqrt (/ 1 (* a c))) (sqrt -1/3)))))) |
(* -9/2 (/ (* a c) (pow b 2))) |
(/ (- (* 3/2 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 2))) (* 9/2 (* a c))) (pow b 2)) |
(/ (- (* 3/2 (/ (+ (* -27 (* (pow a 3) (pow c 3))) (* -3/2 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))))) (pow b 4))) (+ (* -3/2 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 2))) (* 9/2 (* a c)))) (pow b 2)) |
(/ (- (* 3/2 (/ (+ (* -81 (* (pow a 4) (pow c 4))) (+ (* -3/2 (* a (* c (+ (* -27 (* (pow a 3) (pow c 3))) (* -3/2 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))))))))) (* 1/4 (pow (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) 2)))) (pow b 6))) (+ (* -3/2 (/ (+ (* -27 (* (pow a 3) (pow c 3))) (* -3/2 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))))) (pow b 4))) (+ (* -3/2 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 2))) (* 9/2 (* a c))))) (pow b 2)) |
6 |
(+ 6 (* 9/2 (/ (* a c) (pow b 2)))) |
(- (+ 6 (* -3/2 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 4)))) (* -9/2 (/ (* a c) (pow b 2)))) |
(- (+ 6 (* -3/2 (/ (+ (* -27 (* (pow a 3) (pow c 3))) (* -3/2 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))))) (pow b 6)))) (+ (* -9/2 (/ (* a c) (pow b 2))) (* 3/2 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 4))))) |
(pow b 7) |
(pow b 7) |
(pow b 7) |
(pow b 7) |
(pow b 7) |
(pow b 7) |
(pow b 7) |
(pow b 7) |
(pow b 7) |
(pow b 7) |
(pow b 7) |
(pow b 7) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(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)))) |
(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)))) |
(* -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))))) |
| Outputs |
|---|
(* -9/16 (/ (pow c 3) (pow b 5))) |
(*.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 (*.f64 c c) c) (pow.f64 b #s(literal 5 binary64)))) |
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(*.f64 (*.f64 (*.f64 c c) c) (fma.f64 #s(literal -135/128 binary64) (*.f64 a (/.f64 c (pow.f64 b #s(literal 7 binary64)))) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))))) |
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(*.f64 (*.f64 (*.f64 c c) c) (fma.f64 #s(literal -135/128 binary64) (*.f64 a (/.f64 c (pow.f64 b #s(literal 7 binary64)))) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))))) |
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(*.f64 (*.f64 (*.f64 c c) c) (fma.f64 #s(literal -135/128 binary64) (*.f64 a (/.f64 c (pow.f64 b #s(literal 7 binary64)))) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) (fma.f64 #s(literal -135/128 binary64) (/.f64 a (pow.f64 b #s(literal 7 binary64))) (/.f64 #s(literal -9/16 binary64) (*.f64 (pow.f64 b #s(literal 5 binary64)) c)))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) (fma.f64 #s(literal -135/128 binary64) (/.f64 a (pow.f64 b #s(literal 7 binary64))) (/.f64 #s(literal -9/16 binary64) (*.f64 (pow.f64 b #s(literal 5 binary64)) c)))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) (fma.f64 #s(literal -135/128 binary64) (/.f64 a (pow.f64 b #s(literal 7 binary64))) (/.f64 #s(literal -9/16 binary64) (*.f64 (pow.f64 b #s(literal 5 binary64)) c)))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) (fma.f64 #s(literal -135/128 binary64) (/.f64 a (pow.f64 b #s(literal 7 binary64))) (/.f64 #s(literal -9/16 binary64) (*.f64 (pow.f64 b #s(literal 5 binary64)) c)))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) (fma.f64 #s(literal -135/128 binary64) (/.f64 a (pow.f64 b #s(literal 7 binary64))) (/.f64 #s(literal -9/16 binary64) (*.f64 (pow.f64 b #s(literal 5 binary64)) c)))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) (fma.f64 #s(literal -135/128 binary64) (/.f64 a (pow.f64 b #s(literal 7 binary64))) (/.f64 #s(literal -9/16 binary64) (*.f64 (pow.f64 b #s(literal 5 binary64)) c)))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64))) |
(/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7)) |
(/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) a) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 b b)) (*.f64 (*.f64 c c) c))) (pow.f64 b #s(literal 7 binary64))) |
(/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7)) |
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3 |
#s(literal 3 binary64) |
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(* 3 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1/3)))) |
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(* 3 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (sqrt 1/3))))) |
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(* 3 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1/3)))) |
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(* b (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/3)))) (* 3 (* (sqrt (/ 1 (* a c))) (sqrt -1/3))))) |
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(* b (+ (* 3 (* (sqrt (/ 1 (* a c))) (sqrt -1/3))) (* (pow b 2) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/3)))) (* (pow b 2) (+ (* -3/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/18 (/ (+ (* 1/324 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/3) 2))))) (* 1/27 (/ 1 (* (pow a 3) (pow c 3))))) (* a (* c (pow (sqrt -1/3) 2))))) (* 1/81 (/ 1 (* (pow a 4) (pow c 4)))))) (sqrt -1/3)))) (* -3/2 (* (sqrt (* a c)) (/ (+ (* 1/324 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/3) 2))))) (* 1/27 (/ 1 (* (pow a 3) (pow c 3))))) (sqrt -1/3)))))))))) |
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3 |
#s(literal 3 binary64) |
(+ 3 (* 9/2 (/ (* a c) (pow b 2)))) |
(fma.f64 #s(literal 9/2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 3 binary64)) |
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-3 |
#s(literal -3 binary64) |
(- (* -9/2 (/ (* a c) (pow b 2))) 3) |
(fma.f64 #s(literal -9/2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3 binary64)) |
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(* 9 (/ a b)) |
(*.f64 #s(literal 9 binary64) (/.f64 a b)) |
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(* 9 (/ a b)) |
(*.f64 #s(literal 9 binary64) (/.f64 a b)) |
(+ (* 9 (/ a b)) (* 27/2 (/ (* (pow a 2) c) (pow b 3)))) |
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(* 9 (* (sqrt (/ a c)) (sqrt -1/3))) |
(*.f64 #s(literal 9 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1/3 binary64)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -1/3)))) (* 9 (* (sqrt (/ a c)) (sqrt -1/3)))) |
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(* 9 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 1/3)))) |
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(* 9 (* (sqrt (/ a c)) (sqrt -1/3))) |
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(- 3 (* 3 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1/3))))) |
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(- (+ 3 (* 1/18 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 5) (sqrt -1/3))))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 3) (sqrt -1/3)))) (* 3 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1/3)))))) |
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(- (+ 3 (* 3/2 (* (sqrt (/ a (pow c 7))) (/ (* b (+ (* 1/324 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/3) 2)))) (* 1/81 (/ (pow b 6) (pow a 4))))) (sqrt -1/3))))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 3) (sqrt -1/3)))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 5) (sqrt -1/3)))) (* 3 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1/3))))))) |
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(- 3 (* 3 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (sqrt 1/3)))))) |
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(- (+ 3 (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 3) (sqrt -1)) (sqrt 1/3))))) (* 3 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (sqrt 1/3)))))) |
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(- (+ 3 (* 1/18 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 5) (sqrt -1)) (sqrt 1/3))))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 3) (sqrt -1)) (sqrt 1/3)))) (* 3 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (sqrt 1/3))))))) |
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3 |
#s(literal 3 binary64) |
(+ 3 (* -3 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1/3))))) |
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(* -9/2 (/ (* a c) (pow b 2))) |
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(/ (- (* 3/2 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 2))) (* 9/2 (* a c))) (pow b 2)) |
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(/ (- (* 3/2 (/ (+ (* -27 (* (pow a 3) (pow c 3))) (* -3/2 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))))) (pow b 4))) (+ (* -3/2 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 2))) (* 9/2 (* a c)))) (pow b 2)) |
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(/ (- (* 3/2 (/ (+ (* -81 (* (pow a 4) (pow c 4))) (+ (* -3/2 (* a (* c (+ (* -27 (* (pow a 3) (pow c 3))) (* -3/2 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))))))))) (* 1/4 (pow (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) 2)))) (pow b 6))) (+ (* -3/2 (/ (+ (* -27 (* (pow a 3) (pow c 3))) (* -3/2 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))))) (pow b 4))) (+ (* -3/2 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 2))) (* 9/2 (* a c))))) (pow b 2)) |
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6 |
#s(literal 6 binary64) |
(+ 6 (* 9/2 (/ (* a c) (pow b 2)))) |
(fma.f64 #s(literal 9/2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 6 binary64)) |
(- (+ 6 (* -3/2 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 4)))) (* -9/2 (/ (* a c) (pow b 2)))) |
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(pow b 7) |
(pow.f64 b #s(literal 7 binary64)) |
(pow b 7) |
(pow.f64 b #s(literal 7 binary64)) |
(pow b 7) |
(pow.f64 b #s(literal 7 binary64)) |
(pow b 7) |
(pow.f64 b #s(literal 7 binary64)) |
(pow b 7) |
(pow.f64 b #s(literal 7 binary64)) |
(pow b 7) |
(pow.f64 b #s(literal 7 binary64)) |
(pow b 7) |
(pow.f64 b #s(literal 7 binary64)) |
(pow b 7) |
(pow.f64 b #s(literal 7 binary64)) |
(pow b 7) |
(pow.f64 b #s(literal 7 binary64)) |
(pow b 7) |
(pow.f64 b #s(literal 7 binary64)) |
(pow b 7) |
(pow.f64 b #s(literal 7 binary64)) |
(pow b 7) |
(pow.f64 b #s(literal 7 binary64)) |
(pow b 5) |
(pow.f64 b #s(literal 5 binary64)) |
(pow b 5) |
(pow.f64 b #s(literal 5 binary64)) |
(pow b 5) |
(pow.f64 b #s(literal 5 binary64)) |
(pow b 5) |
(pow.f64 b #s(literal 5 binary64)) |
(pow b 5) |
(pow.f64 b #s(literal 5 binary64)) |
(pow b 5) |
(pow.f64 b #s(literal 5 binary64)) |
(pow b 5) |
(pow.f64 b #s(literal 5 binary64)) |
(pow b 5) |
(pow.f64 b #s(literal 5 binary64)) |
(pow b 5) |
(pow.f64 b #s(literal 5 binary64)) |
(pow b 5) |
(pow.f64 b #s(literal 5 binary64)) |
(pow b 5) |
(pow.f64 b #s(literal 5 binary64)) |
(pow b 5) |
(pow.f64 b #s(literal 5 binary64)) |
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(*.f64 a (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(*.f64 a (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(*.f64 a (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a))) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3 binary64) c (/.f64 (*.f64 b b) (neg.f64 a)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3 binary64) c (/.f64 (*.f64 b b) (neg.f64 a)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3 binary64) c (/.f64 (*.f64 b b) (neg.f64 a)))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(*.f64 c (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 b b) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(*.f64 c (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 b b) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(*.f64 c (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 b b) c))) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(*.f64 (neg.f64 c) (fma.f64 #s(literal 3 binary64) a (/.f64 (*.f64 b b) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(*.f64 (neg.f64 c) (fma.f64 #s(literal 3 binary64) a (/.f64 (*.f64 b b) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(*.f64 (neg.f64 c) (fma.f64 #s(literal 3 binary64) a (/.f64 (*.f64 b b) (neg.f64 c)))) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.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 a (/.f64 c (*.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 a (/.f64 c (*.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 a (/.f64 c (*.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 a (/.f64 c (*.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 a (/.f64 c (*.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 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64))) |
| 5 196× | lower-*.f32 |
| 5 152× | lower-*.f64 |
| 3 950× | lower-fma.f32 |
| 3 942× | lower-fma.f64 |
| 3 386× | lower-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 536 |
| 0 | 126 | 483 |
| 1 | 504 | 429 |
| 2 | 4179 | 407 |
| 0 | 8814 | 400 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) |
(fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) |
(*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
(*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) |
#s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) |
(/.f64 #s(literal -1/2 binary64) b) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a)) |
(neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) (/.f64 b #s(literal 3 binary64))) |
(/.f64 b #s(literal 3 binary64)) |
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) (/.f64 b #s(literal 3 binary64))) a) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) |
(/.f64 (-.f64 #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (/.f64 b a))) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) #s(literal 3 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (/.f64 b a)) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) #s(literal 3 binary64)) |
(-.f64 #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (/.f64 b a))) |
(*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)) |
(*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)) |
(fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) |
| Outputs |
|---|
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) c) (*.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) c)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 #s(literal -1/6 binary64) a)) (*.f64 #s(literal -1/6 binary64) a)) (*.f64 (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 c c) c) c)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 c (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)) #s(literal -9/16 binary64)) (*.f64 c c) (*.f64 (neg.f64 a) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 c c) c) c)) (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b)))))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (*.f64 #s(literal -729/4096 binary64) (*.f64 (*.f64 c c) c))) (*.f64 (*.f64 c c) c) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 #s(literal -1/6 binary64) a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 #s(literal -1/6 binary64) a)) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 #s(literal -1/6 binary64) a)) (*.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) (/.f64 c (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) c) (*.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) c)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)))))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (/.f64 c (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)) #s(literal -9/16 binary64)) (*.f64 c c) (*.f64 (neg.f64 a) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 c c) c) c)) (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b)))))) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) c) (*.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) c)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 #s(literal -1/6 binary64) a)) (*.f64 #s(literal -1/6 binary64) a)) (*.f64 (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 c c) c) c))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 #s(literal -1/6 binary64) a)) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 #s(literal -1/6 binary64) a)) (*.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) (/.f64 c (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) c) (*.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) c)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (*.f64 #s(literal -729/4096 binary64) (*.f64 (*.f64 c c) c))) (*.f64 (*.f64 c c) c) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 #s(literal -1/6 binary64) a)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 #s(literal -1/6 binary64) a)) (*.f64 #s(literal -1/6 binary64) a)) (*.f64 (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 c c) c) c))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) c) (*.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) c)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)))) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 #s(literal -1/6 binary64) a)) (*.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) (/.f64 c (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) c) (*.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) c)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 #s(literal -1/6 binary64) a)) (*.f64 #s(literal -1/6 binary64) a)) (*.f64 (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 c c) c) c))))) (neg.f64 (fma.f64 (*.f64 (/.f64 c (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)) #s(literal -9/16 binary64)) (*.f64 c c) (*.f64 (neg.f64 a) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 c c) c) c)) (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b)))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (*.f64 #s(literal -729/4096 binary64) (*.f64 (*.f64 c c) c))) (*.f64 (*.f64 c c) c) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 #s(literal -1/6 binary64) a)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 #s(literal -1/6 binary64) a)) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 #s(literal -1/6 binary64) a)) (*.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) (/.f64 c (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) c) (*.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) c)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) c) (*.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) c)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 #s(literal -1/6 binary64) a)) (*.f64 #s(literal -1/6 binary64) a)) (*.f64 (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 c c) c) c)))) (fma.f64 (*.f64 (/.f64 c (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)) #s(literal -9/16 binary64)) (*.f64 c c) (*.f64 (neg.f64 a) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 c c) c) c)) (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))))))) |
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(*.f64 (*.f64 (*.f64 b b) b) (neg.f64 (*.f64 b b))) |
(*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)) |
(*.f64 (*.f64 b b) (*.f64 (*.f64 b b) b)) |
(*.f64 b (*.f64 (*.f64 (*.f64 b b) b) b)) |
(pow.f64 (exp.f64 #s(literal 5 binary64)) (log.f64 b)) |
(pow.f64 (pow.f64 b #s(literal 5/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 b) #s(literal 5 binary64)) |
(pow.f64 (*.f64 b b) #s(literal 5/2 binary64)) |
(pow.f64 b #s(literal 5 binary64)) |
(neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)) |
(exp.f64 (fma.f64 (log.f64 b) #s(literal 5/2 binary64) (*.f64 (log.f64 b) #s(literal 5/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 b) #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) (log.f64 b)))) |
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 b) (*.f64 (log.f64 b) #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (neg.f64 b)) #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) (log.f64 b)))) |
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 b) (*.f64 (log.f64 (neg.f64 b)) #s(literal 3 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 b) #s(literal 5/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)) #s(literal 5/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 b #s(literal 5/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 5 binary64))) |
(*.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal 3 binary64) (*.f64 b b)) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a c) #s(literal 3 binary64) (*.f64 b b))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64) (*.f64 (*.f64 (*.f64 b b) b) b)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 (neg.f64 b) b))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 27 binary64)) (*.f64 (*.f64 c 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 (*.f64 a c) #s(literal 3 binary64) (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) b))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 27 binary64)) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -3 binary64)))))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal 3 binary64) (*.f64 b b)) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a c) #s(literal 3 binary64) (*.f64 b b)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64) (*.f64 (*.f64 (*.f64 b b) b) b)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 (neg.f64 b) b)))) |
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 27 binary64)) (*.f64 (*.f64 c c) c))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 a c) #s(literal 3 binary64) (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) b)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 27 binary64)) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -3 binary64))))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 (neg.f64 b) b)) (fma.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64) (*.f64 (*.f64 (*.f64 b b) b) b))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -3 binary64))))) (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 27 binary64)) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal 3 binary64) (*.f64 b b)) (*.f64 (fma.f64 (*.f64 a c) #s(literal 3 binary64) (*.f64 b b)) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 a c) #s(literal 3 binary64) (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) b)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 27 binary64)) (*.f64 (*.f64 c c) c)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64) (*.f64 (*.f64 (*.f64 b b) b) b))) (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 (neg.f64 b) b)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 27 binary64)) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (neg.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -3 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal 3 binary64) (*.f64 b b)) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (neg.f64 (fma.f64 (*.f64 a c) #s(literal 3 binary64) (*.f64 b b)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 27 binary64)) (*.f64 (*.f64 c c) c)))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 a c) #s(literal 3 binary64) (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) b)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal 3 binary64) (*.f64 b b)) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (-.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -3 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal 3 binary64) (*.f64 b b)) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal 3 binary64) (*.f64 b b))) |
(/.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64) (*.f64 (*.f64 (*.f64 b b) b) b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 (neg.f64 b) b))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 27 binary64)) (*.f64 (*.f64 c c) c))) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 a c) #s(literal 3 binary64) (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) b))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 27 binary64)) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (fma.f64 (*.f64 (*.f64 b b) b) b (-.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 a c) #s(literal -3 binary64)) b) b)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 27 binary64)) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (fma.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 (neg.f64 b) b)) (fma.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64) (*.f64 (*.f64 (*.f64 b b) b) b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -3 binary64))))) (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 27 binary64)) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a c) #s(literal 3 binary64) (*.f64 b b)) (*.f64 (fma.f64 (*.f64 a c) #s(literal 3 binary64) (*.f64 b b)) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 a c) #s(literal 3 binary64) (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) b)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 27 binary64)) (*.f64 (*.f64 c c) c))))) |
(fma.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) b (*.f64 (*.f64 a c) #s(literal -3 binary64))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(fma.f64 (neg.f64 c) (*.f64 #s(literal 3 binary64) a) (*.f64 b b)) |
(fma.f64 #s(literal -1 binary64) (*.f64 b (neg.f64 b)) (*.f64 (*.f64 a c) #s(literal -3 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) a) c) (*.f64 b b)) |
(fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) |
(fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) |
(fma.f64 #s(literal 1 binary64) (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -3 binary64))) |
(fma.f64 (*.f64 #s(literal 3 binary64) a) (neg.f64 c) (*.f64 b b)) |
(fma.f64 #s(literal 3 binary64) (neg.f64 (*.f64 a c)) (*.f64 b b)) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (*.f64 a c) #s(literal -3 binary64))) |
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) |
(fma.f64 (*.f64 b b) #s(literal 1 binary64) (*.f64 (*.f64 a c) #s(literal -3 binary64))) |
(fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64))) |
(fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)) |
(sqrt.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 (neg.f64 b) b))) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 (neg.f64 b) b)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (fma.f64 (*.f64 a c) #s(literal 3 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64)) (fma.f64 (*.f64 a c) #s(literal 3 binary64) (*.f64 b b)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 a c) #s(literal 3 binary64) (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) b))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 27 binary64)) (*.f64 (*.f64 c c) c)) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 a c) #s(literal 3 binary64) (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) b)))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) |
(+.f64 (*.f64 (*.f64 a c) #s(literal -3 binary64)) (*.f64 b b)) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -3 binary64))) |
Compiled 69 716 to 4 774 computations (93.2% saved)
78 alts after pruning (72 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 639 | 31 | 1 670 |
| Fresh | 13 | 41 | 54 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 654 | 78 | 1 732 |
| Status | Accuracy | Program |
|---|---|---|
| 32.4% | (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a) #s(literal 1/3 binary64) (/.f64 b (*.f64 #s(literal -3 binary64) a))) | |
| 32.7% | (fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (/.f64 b (*.f64 #s(literal -3 binary64) a))) | |
| 31.5% | (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a) (neg.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) b) a))) | |
| 31.9% | (fma.f64 (neg.f64 b) (/.f64 #s(literal 1/3 binary64) a) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) | |
| 29.6% | (fma.f64 #s(literal 3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal 9 binary64))) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (neg.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) b) a))) | |
| 31.4% | (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (/.f64 b a) #s(literal 3 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) #s(literal 3 binary64))) | |
| ▶ | 31.7% | (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (*.f64 #s(literal -3 binary64) a) b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) |
| 31.2% | (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) b)) (*.f64 a #s(literal 9 binary64))) | |
| 31.3% | (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 1/3 binary64) (*.f64 b #s(literal -1/3 binary64))) a) | |
| 32.3% | (/.f64 (fma.f64 b #s(literal -1/3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) a) | |
| 30.8% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 27 binary64))) (fma.f64 (/.f64 b (*.f64 #s(literal 3 binary64) a)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))))) | |
| 29.8% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal -3 binary64)) (*.f64 #s(literal 3 binary64) (neg.f64 b))) #s(literal -9 binary64)) a) | |
| 29.9% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 c a)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 (*.f64 b b) b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 30.6% | (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 b b) b))) (fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))))) a) |
| 30.3% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) a) #s(literal 3 binary64)) | |
| 30.4% | (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 b b)) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)))) a) | |
| 29.5% | (/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) (*.f64 b #s(literal 1/3 binary64))) a) | |
| 30.1% | (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a) (/.f64 (*.f64 #s(literal 3 binary64) a) b)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 #s(literal 3 binary64) a) b))) | |
| 29.5% | (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 b a))) #s(literal 9 binary64)) | |
| 29.7% | (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (/.f64 (*.f64 #s(literal 3 binary64) a) b)) (*.f64 (*.f64 #s(literal 3 binary64) a) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 (*.f64 #s(literal 3 binary64) a) b))) | |
| 30.0% | (/.f64 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal -3 binary64) a)) (*.f64 (*.f64 #s(literal -3 binary64) a) (neg.f64 b))) (*.f64 #s(literal 9 binary64) (*.f64 a a))) | |
| 31.2% | (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))))) | |
| 29.8% | (/.f64 (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 a #s(literal 9 binary64)) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) (*.f64 (/.f64 (*.f64 a #s(literal 9 binary64)) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 b (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a))))) (*.f64 (/.f64 (*.f64 a #s(literal 9 binary64)) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (/.f64 (*.f64 a #s(literal 9 binary64)) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))))) | |
| 30.2% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) b)) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))) | |
| 30.0% | (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/3 binary64) b)) a) | |
| 30.6% | (/.f64 (-.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 b b) b))) (*.f64 a (fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)))))) | |
| 30.3% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) | |
| 29.8% | (/.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a)) (neg.f64 (/.f64 b a))) #s(literal -3 binary64)) | |
| 31.6% | (/.f64 (-.f64 #s(literal 27 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 27 binary64)) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))))) (*.f64 (/.f64 (*.f64 a #s(literal 9 binary64)) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 b (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a))) (fma.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 b (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a)) #s(literal 3 binary64)) #s(literal 9 binary64)))) | |
| 30.3% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| 30.2% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| 31.2% | (/.f64 (*.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) b)) #s(literal 1/9 binary64)) a) | |
| 30.3% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64)) | |
| 31.1% | (/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) | |
| 30.5% | (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 #s(literal 1/9 binary64) (*.f64 b b))) (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) | |
| 30.3% | (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64)) a) | |
| 31.6% | (/.f64 (*.f64 (-.f64 #s(literal 27 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 27 binary64)) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 b (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a))) (fma.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 b (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a)) #s(literal 3 binary64)) #s(literal 9 binary64)))) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) #s(literal 3 binary64))) | |
| 31.6% | (/.f64 (*.f64 (-.f64 #s(literal 27 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 27 binary64)) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal 9 binary64))) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 b (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a))) (fma.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 b (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a)) #s(literal 3 binary64)) #s(literal 9 binary64))) | |
| 82.2% | (/.f64 #s(approx (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c b)))) a) | |
| 94.7% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 a a) (/.f64 a (pow.f64 b #s(literal 5 binary64)))) #s(literal -27/16 binary64))) c (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 81.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 30.3% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| 30.3% | (/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a)) | |
| 30.5% | (-.f64 (/.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (/.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal 9 binary64) (*.f64 a a))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)))) | |
| ✓ | 29.7% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
| 29.2% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (*.f64 (/.f64 b a) #s(literal 1/3 binary64))) | |
| 31.1% | (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (*.f64 b b) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))))) | |
| 30.8% | (*.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 b (*.f64 #s(literal 3 binary64) a)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 #s(literal 9 binary64) (*.f64 a a)))))) | |
| 30.3% | (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) | |
| 30.2% | (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 b (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a)))) (*.f64 a #s(literal 9 binary64))) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) | |
| 28.5% | (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (+.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) | |
| 30.3% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) | |
| 30.2% | (*.f64 (*.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 b (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a))) #s(literal 1/3 binary64)) | |
| 31.4% | (*.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) #s(literal 1/4 binary64)) (neg.f64 b))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) | |
| 30.4% | (*.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (/.f64 (*.f64 (*.f64 b b) b) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) | |
| ✓ | 30.3% | (*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
| 94.6% | (*.f64 #s(approx (neg (- (sqrt (+ (* (* a c) -3) (* b b))) b)) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal 1/2 binary64) (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) (*.f64 #s(literal 27/16 binary64) (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b #s(literal 5 binary64))))) (*.f64 #s(literal 9/8 binary64) (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)))) (*.f64 #s(literal 3/2 binary64) (/.f64 a b))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) | |
| 81.8% | (*.f64 #s(approx (neg (- (sqrt (+ (* (* a c) -3) (* b b))) b)) (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) | |
| 91.0% | #s(approx (/ (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) a) (fma.f64 #s(literal -1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b b) b)))) | |
| ▶ | 95.1% | #s(approx (/ (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) a) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)))) (/.f64 #s(literal -1/2 binary64) b)))) |
| 90.7% | #s(approx (/ (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) a) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 (*.f64 b b) b))) (/.f64 #s(literal -1/2 binary64) b)))) | |
| ✓ | 95.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
| 92.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) a (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64))) #s(literal -1/2 binary64)))) | |
| 93.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (/ c (* (* (* b b) b) (* b b))) (* (* -9/16 c) c)) (* (* a -1/6) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b)))))) a) (/ (* -3/8 (* c c)) (* (* b b) b))) (/.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 c c) (/.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) a) (*.f64 (*.f64 c c) c)) (*.f64 b b))) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| ✓ | 91.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b)) |
| 90.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) c)) (*.f64 c c))) b)) | |
| 91.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b)) | |
| ▶ | 82.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
| ▶ | 90.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b))) |
| 93.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (fma.f64 (*.f64 a (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| ✓ | 82.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
| 93.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 a #s(literal -3/8 binary64)) c (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) b) b (*.f64 (*.f64 (*.f64 (*.f64 a c) a) #s(literal -9/16 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c)) | |
| 90.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) b)) c)) | |
| 93.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 (*.f64 b b) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) (*.f64 #s(literal -3/8 binary64) (*.f64 a c))))) (pow.f64 b #s(literal 5 binary64)))) c)) | |
| ✓ | 82.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
| 90.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) c) #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b)))) | |
| 90.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a))) | |
| 90.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 b c))) (*.f64 c c)))) |
Compiled 5 192 to 2 583 computations (50.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 320 | (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) | |
| cost-diff | 320 | (-.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 b b) b))) | |
| cost-diff | 384 | (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 b b) b))) (fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))))) a) | |
| cost-diff | 512 | (fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)))) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) a) | |
| cost-diff | 128 | (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (*.f64 #s(literal -3 binary64) a) b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) | |
| cost-diff | 512 | (fma.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (*.f64 #s(literal -3 binary64) a) b)) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b))) | |
| cost-diff | 320 | (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) | |
| cost-diff | 320 | (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) 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 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)))) (/.f64 #s(literal -1/2 binary64) b))) | |
| cost-diff | 0 | #s(approx (/ (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) a) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)))) (/.f64 #s(literal -1/2 binary64) b)))) | |
| cost-diff | 320 | (fma.f64 #s(literal -1/6 binary64) (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) | |
| cost-diff | 384 | (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b)) |
| 9 734× | lower-fma.f32 |
| 9 720× | lower-fma.f64 |
| 6 020× | lower-*.f32 |
| 5 972× | lower-*.f64 |
| 2 600× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 86 | 843 |
| 0 | 143 | 837 |
| 1 | 296 | 797 |
| 2 | 799 | 779 |
| 3 | 2504 | 775 |
| 4 | 5816 | 766 |
| 0 | 8196 | 759 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) a) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)))) (/.f64 #s(literal -1/2 binary64) b)))) |
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)))) (/.f64 #s(literal -1/2 binary64) b))) |
c |
(fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)))) (/.f64 #s(literal -1/2 binary64) b)) |
(fma.f64 c (fma.f64 #s(literal -1/6 binary64) (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) |
#s(literal -1/6 binary64) |
(*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b))) |
(/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b)) |
(*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) |
(/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(pow.f64 a #s(literal 4 binary64)) |
a |
#s(literal 4 binary64) |
(pow.f64 b #s(literal 6 binary64)) |
b |
#s(literal 6 binary64) |
#s(literal 405/64 binary64) |
(*.f64 a b) |
(/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) |
(*.f64 #s(literal -9/16 binary64) (*.f64 a a)) |
#s(literal -9/16 binary64) |
(*.f64 a a) |
(pow.f64 b #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b))) |
#s(literal -3/8 binary64) |
(/.f64 a (*.f64 (*.f64 b b) b)) |
(*.f64 (*.f64 b b) b) |
(*.f64 b b) |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
#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 |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b)) |
(fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) |
(*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) |
(*.f64 (/.f64 c (*.f64 b b)) c) |
(/.f64 c (*.f64 b b)) |
c |
(*.f64 b b) |
b |
#s(literal -3/8 binary64) |
a |
(*.f64 #s(literal -1/2 binary64) c) |
#s(literal -1/2 binary64) |
(/.f64 #s(literal 1 binary64) b) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (*.f64 #s(literal -3 binary64) a) b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) |
(fma.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (*.f64 #s(literal -3 binary64) a) b)) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
a |
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) |
(fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) |
(*.f64 a c) |
c |
#s(literal -3 binary64) |
(*.f64 b b) |
b |
(*.f64 (*.f64 #s(literal -3 binary64) a) b) |
(*.f64 #s(literal -3 binary64) a) |
(*.f64 #s(literal 9 binary64) (*.f64 a a)) |
#s(literal 9 binary64) |
(*.f64 a a) |
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 b b) b))) (fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))))) a) |
(/.f64 (-.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 b b) b))) (fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))))) |
(-.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 b b) b))) |
(*.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) |
#s(literal 1/27 binary64) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) |
(fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) |
(*.f64 a c) |
a |
c |
#s(literal -3 binary64) |
(*.f64 b b) |
b |
(*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 b b) b)) |
(*.f64 (*.f64 b b) b) |
(fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)))) |
#s(literal 1/9 binary64) |
(*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) |
(*.f64 #s(literal 1/3 binary64) b) |
#s(literal 1/3 binary64) |
(*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) |
| Outputs |
|---|
#s(approx (/ (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) a) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)))) (/.f64 #s(literal -1/2 binary64) b)))) |
#s(approx (/ (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) a) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 b (*.f64 (pow.f64 b #s(literal 6 binary64)) a))) c (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (*.f64 a a))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)))) (/.f64 #s(literal -1/2 binary64) b))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 b (*.f64 (pow.f64 b #s(literal 6 binary64)) a))) c (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (*.f64 a a))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
c |
(fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)))) (/.f64 #s(literal -1/2 binary64) b)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 b (*.f64 (pow.f64 b #s(literal 6 binary64)) a))) c (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (*.f64 a a))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) |
(fma.f64 c (fma.f64 #s(literal -1/6 binary64) (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 b (*.f64 (pow.f64 b #s(literal 6 binary64)) a))) c (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (*.f64 a a))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) |
(fma.f64 (/.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 b (*.f64 (pow.f64 b #s(literal 6 binary64)) a))) c (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (*.f64 a a))) |
#s(literal -1/6 binary64) |
(*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b))) |
(*.f64 (*.f64 c (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 b (*.f64 (pow.f64 b #s(literal 6 binary64)) a)))) |
(/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b)) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (/.f64 #s(literal 405/64 binary64) (*.f64 b (*.f64 (pow.f64 b #s(literal 6 binary64)) a)))) |
(*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) |
(*.f64 (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64))) (pow.f64 a #s(literal 4 binary64))) |
(/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(pow.f64 a #s(literal 4 binary64)) |
a |
#s(literal 4 binary64) |
(pow.f64 b #s(literal 6 binary64)) |
b |
#s(literal 6 binary64) |
#s(literal 405/64 binary64) |
(*.f64 a b) |
(*.f64 b a) |
(/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) |
(*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (*.f64 a a)) |
(*.f64 #s(literal -9/16 binary64) (*.f64 a a)) |
(*.f64 (*.f64 a a) #s(literal -9/16 binary64)) |
#s(literal -9/16 binary64) |
(*.f64 a a) |
(pow.f64 b #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b))) |
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) |
#s(literal -3/8 binary64) |
(/.f64 a (*.f64 (*.f64 b b) b)) |
(*.f64 (*.f64 b b) b) |
(*.f64 b b) |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
#s(approx (/ (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c)) |
(/.f64 #s(literal -1/2 binary64) (/.f64 b c)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c) |
#s(literal -1/2 binary64) |
(/.f64 b c) |
b |
c |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b))) |
#s(approx (/ (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) a) (*.f64 (/.f64 c b) (fma.f64 (*.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) a) c #s(literal -1/2 binary64)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 c b) (fma.f64 (*.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) a) c #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) |
(*.f64 c (fma.f64 (*.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) a) c #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) |
(*.f64 (/.f64 c (*.f64 b b)) c) |
(/.f64 c (*.f64 b b)) |
c |
(*.f64 b b) |
b |
#s(literal -3/8 binary64) |
a |
(*.f64 #s(literal -1/2 binary64) c) |
#s(literal -1/2 binary64) |
(/.f64 #s(literal 1 binary64) b) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (*.f64 #s(literal -3 binary64) a) b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64) (*.f64 b #s(literal -3 binary64))) (*.f64 #s(literal 9 binary64) a))) |
(fma.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (*.f64 #s(literal -3 binary64) a) b)) |
(*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b)) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
a |
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) |
(fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) |
(fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) |
(*.f64 a c) |
(*.f64 c a) |
c |
#s(literal -3 binary64) |
(*.f64 b b) |
b |
(*.f64 (*.f64 #s(literal -3 binary64) a) b) |
(*.f64 #s(literal -3 binary64) a) |
(*.f64 #s(literal 9 binary64) (*.f64 a a)) |
#s(literal 9 binary64) |
(*.f64 a a) |
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 b b) b))) (fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))))) a) |
(*.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) b) (+.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal -1/3 binary64) (*.f64 c a))) a)) (fma.f64 (*.f64 (neg.f64 b) b) b (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 b b) b))) (fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))))) |
(*.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (*.f64 #s(literal 1/9 binary64) b) (+.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal -1/3 binary64) (*.f64 c a)))) (fma.f64 (*.f64 (neg.f64 b) b) b (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))) |
(-.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 b b) b))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 b) b) b (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) #s(literal 1/27 binary64)) |
(*.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) |
(*.f64 (*.f64 #s(literal 1/27 binary64) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) |
#s(literal 1/27 binary64) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) |
(fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) |
(fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) |
(*.f64 a c) |
(*.f64 c a) |
a |
c |
#s(literal -3 binary64) |
(*.f64 b b) |
b |
(*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 b b) b)) |
(*.f64 (*.f64 b b) b) |
(fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)))) |
(fma.f64 (*.f64 #s(literal 1/9 binary64) b) (+.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal -1/3 binary64) (*.f64 c a))) |
#s(literal 1/9 binary64) |
(*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) |
(*.f64 (*.f64 #s(literal 1/9 binary64) b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b)) |
(*.f64 #s(literal 1/3 binary64) b) |
#s(literal 1/3 binary64) |
(*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) |
(*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64)) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.3984375 | (/.f64 (-.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 b b) b))) (fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))))) | |
| accuracy | 0.40625 | (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 b b) b)) | |
| accuracy | 0.4375 | (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) | |
| accuracy | 43.89875572951929 | (-.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 b b) b))) | |
| accuracy | 0.25 | (*.f64 #s(literal 9 binary64) (*.f64 a a)) | |
| accuracy | 0.2734375 | (*.f64 (*.f64 #s(literal -3 binary64) a) b) | |
| accuracy | 0.375 | (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (*.f64 #s(literal -3 binary64) a) b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) | |
| accuracy | 43.95664040445973 | (fma.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (*.f64 #s(literal -3 binary64) a) b)) | |
| accuracy | 0.25 | (*.f64 (/.f64 c (*.f64 b b)) c) | |
| accuracy | 0.26953125 | (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) | |
| accuracy | 0.28125 | (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b)) | |
| accuracy | 5.706814698925362 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b))) | |
| accuracy | 0 | (/.f64 b c) | |
| accuracy | 0.24609375 | (/.f64 #s(literal -1/2 binary64) (/.f64 b c)) | |
| accuracy | 11.369357148007731 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) | |
| accuracy | 0.3209762695368841 | (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) | |
| accuracy | 0.33431625976844204 | (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b)) | |
| accuracy | 0.3828125 | (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) | |
| accuracy | 2.9041678785258607 | #s(approx (/ (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) a) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)))) (/.f64 #s(literal -1/2 binary64) b)))) |
| 218.0ms | 175× | 1 | valid |
| 61.0ms | 81× | 0 | valid |
Compiled 817 to 86 computations (89.5% saved)
ival-mult: 72.0ms (33.7% of total)ival-div: 71.0ms (33.2% of total)adjust: 18.0ms (8.4% of total)const: 15.0ms (7% of total)ival-add: 15.0ms (7% of total)ival-pow: 9.0ms (4.2% of total)ival-sqrt: 6.0ms (2.8% of total)ival-sub: 5.0ms (2.3% 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 (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b)) (patch (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) a) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)))) (/.f64 #s(literal -1/2 binary64) b)))) (patch #s(approx (/ (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) a) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)))) (/.f64 #s(literal -1/2 binary64) b)))) #<representation binary64>) () ()) |
#s(alt (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)))) (/.f64 #s(literal -1/2 binary64) b))) (patch (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)))) (/.f64 #s(literal -1/2 binary64) b))) #<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 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b)) (patch (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) (patch (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (*.f64 #s(literal -3 binary64) a) b)) (patch (fma.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (*.f64 #s(literal -3 binary64) a) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (*.f64 #s(literal -3 binary64) a) b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) (patch (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (*.f64 #s(literal -3 binary64) a) b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 3 binary64) a) (patch (*.f64 #s(literal 3 binary64) a) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)))) (patch (fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 b b) b))) (fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))))) a) (patch (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 b b) b))) (fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))))) a) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 b b) b))) (patch (-.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 b b) b))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (patch (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (patch (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 c (*.f64 b b)) c) (patch (*.f64 (/.f64 c (*.f64 b b)) c) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal -3 binary64) a) b) (patch (*.f64 (*.f64 #s(literal -3 binary64) a) b) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 9 binary64) (*.f64 a a)) (patch (*.f64 #s(literal 9 binary64) (*.f64 a a)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 b b) b)) (patch (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 b b) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 b b) b))) (fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))))) (patch (/.f64 (-.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 b b) b))) (fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 405/64 (/ (pow a 3) (pow b 7))) (taylor 0 a) (#s(alt (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b)) (patch (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (pow a 3) (pow b 7))) (taylor 0 a) (#s(alt (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b)) (patch (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (pow a 3) (pow b 7))) (taylor 0 a) (#s(alt (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b)) (patch (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (pow a 3) (pow b 7))) (taylor 0 a) (#s(alt (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b)) (patch (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (pow a 3) (pow b 7))) (taylor inf a) (#s(alt (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b)) (patch (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (pow a 3) (pow b 7))) (taylor inf a) (#s(alt (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b)) (patch (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (pow a 3) (pow b 7))) (taylor inf a) (#s(alt (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b)) (patch (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (pow a 3) (pow b 7))) (taylor inf a) (#s(alt (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b)) (patch (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (pow a 3) (pow b 7))) (taylor -inf a) (#s(alt (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b)) (patch (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (pow a 3) (pow b 7))) (taylor -inf a) (#s(alt (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b)) (patch (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (pow a 3) (pow b 7))) (taylor -inf a) (#s(alt (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b)) (patch (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (pow a 3) (pow b 7))) (taylor -inf a) (#s(alt (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b)) (patch (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (pow a 3) (pow b 7))) (taylor 0 b) (#s(alt (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b)) (patch (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (pow a 3) (pow b 7))) (taylor 0 b) (#s(alt (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b)) (patch (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (pow a 3) (pow b 7))) (taylor 0 b) (#s(alt (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b)) (patch (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (pow a 3) (pow b 7))) (taylor 0 b) (#s(alt (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b)) (patch (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (pow a 3) (pow b 7))) (taylor inf b) (#s(alt (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b)) (patch (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (pow a 3) (pow b 7))) (taylor inf b) (#s(alt (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b)) (patch (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a 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 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b)) (patch (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (taylor 0 b) (#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b)) (patch (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 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 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b)) (patch (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 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 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b)) (patch (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 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 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b)) (patch (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) 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 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b)) (patch (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 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 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b)) (patch (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 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 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b)) (patch (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor -inf b) (#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b)) (patch (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 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 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b)) (patch (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 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 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b)) (patch (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor 0 a) (#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b)) (patch (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 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 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b)) (patch (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 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 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b)) (patch (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 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 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b)) (patch (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (taylor inf a) (#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b)) (patch (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 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 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b)) (patch (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 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 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b)) (patch (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 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 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b)) (patch (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b)) (patch (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 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 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b)) (patch (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 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 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b)) (patch (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 c) (taylor 0 c) (#s(alt (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) (taylor 0 c) (#s(alt (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) (taylor 0 c) (#s(alt (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) (taylor 0 c) (#s(alt (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (taylor inf c) (#s(alt (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) (taylor inf c) (#s(alt (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) (taylor inf c) (#s(alt (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) (taylor 0 a) (#s(alt (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) (taylor 0 a) (#s(alt (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (taylor inf a) (#s(alt (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ())) ()) |
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192 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | b | @ | inf | (* 1/27 (* (* b b) b)) |
| 25.0ms | a | @ | -inf | (/ (/ (- (* 1/27 (* (sqrt (+ (* (* a c) -3) (* b b))) (+ (* (* a c) -3) (* b b)))) (* 1/27 (* (* b b) b))) (+ (* 1/9 (+ (* (* a c) -3) (* b b))) (* (* 1/3 b) (* 1/3 (+ (sqrt (+ (* (* a c) -3) (* b b))) b))))) a) |
| 12.0ms | b | @ | -inf | (/ (/ (- (* 1/27 (* (sqrt (+ (* (* a c) -3) (* b b))) (+ (* (* a c) -3) (* b b)))) (* 1/27 (* (* b b) b))) (+ (* 1/9 (+ (* (* a c) -3) (* b b))) (* (* 1/3 b) (* 1/3 (+ (sqrt (+ (* (* a c) -3) (* b b))) b))))) a) |
| 6.0ms | b | @ | -inf | (* (/ c (* b b)) c) |
| 4.0ms | b | @ | inf | (/ (/ (- (* 1/27 (* (sqrt (+ (* (* a c) -3) (* b b))) (+ (* (* a c) -3) (* b b)))) (* 1/27 (* (* b b) b))) (+ (* 1/9 (+ (* (* a c) -3) (* b b))) (* (* 1/3 b) (* 1/3 (+ (sqrt (+ (* (* a c) -3) (* b b))) b))))) a) |
| 1× | egg-herbie |
| 7 152× | lower-*.f64 |
| 7 152× | lower-*.f32 |
| 4 774× | lower-fma.f64 |
| 4 774× | lower-fma.f32 |
| 4 136× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2380 | 27622 |
| 1 | 6940 | 27555 |
| 0 | 8348 | 26420 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 405/64 (/ (pow a 3) (pow b 7))) |
(* 405/64 (/ (pow a 3) (pow b 7))) |
(* 405/64 (/ (pow a 3) (pow b 7))) |
(* 405/64 (/ (pow a 3) (pow b 7))) |
(* 405/64 (/ (pow a 3) (pow b 7))) |
(* 405/64 (/ (pow a 3) (pow b 7))) |
(* 405/64 (/ (pow a 3) (pow b 7))) |
(* 405/64 (/ (pow a 3) (pow b 7))) |
(* 405/64 (/ (pow a 3) (pow b 7))) |
(* 405/64 (/ (pow a 3) (pow b 7))) |
(* 405/64 (/ (pow a 3) (pow b 7))) |
(* 405/64 (/ (pow a 3) (pow b 7))) |
(* 405/64 (/ (pow a 3) (pow b 7))) |
(* 405/64 (/ (pow a 3) (pow b 7))) |
(* 405/64 (/ (pow a 3) (pow b 7))) |
(* 405/64 (/ (pow a 3) (pow b 7))) |
(* 405/64 (/ (pow a 3) (pow b 7))) |
(* 405/64 (/ (pow a 3) (pow b 7))) |
(* 405/64 (/ (pow a 3) (pow b 7))) |
(* 405/64 (/ (pow a 3) (pow b 7))) |
(* 405/64 (/ (pow a 3) (pow b 7))) |
(* 405/64 (/ (pow a 3) (pow b 7))) |
(* 405/64 (/ (pow a 3) (pow b 7))) |
(* 405/64 (/ (pow a 3) (pow b 7))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5)))) |
(+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5)))) |
(+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5)))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 7))) |
(* c (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c))))) |
(* c (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c))))) |
(* c (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c))))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 7))) |
(* -1 (* c (+ (* 9/16 (/ (pow a 2) (* (pow b 5) c))) (* 135/128 (/ (pow a 3) (pow b 7)))))) |
(* -1 (* c (+ (* 9/16 (/ (pow a 2) (* (pow b 5) c))) (* 135/128 (/ (pow a 3) (pow b 7)))))) |
(* -1 (* c (+ (* 9/16 (/ (pow a 2) (* (pow b 5) c))) (* 135/128 (/ (pow a 3) (pow b 7)))))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* (pow a 2) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(* (pow a 2) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(* (pow a 2) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 7))) |
(* (pow a 3) (- (* -135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5)))))) |
(* (pow a 3) (- (* -135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5)))))) |
(* (pow a 3) (- (* -135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5)))))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 7))) |
(* -1 (* (pow a 3) (+ (* 135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5))))))) |
(* -1 (* (pow a 3) (+ (* 135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5))))))) |
(* -1 (* (pow a 3) (+ (* 135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5))))))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 7))) |
(/ (+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2)))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2)))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2)))) (pow b 7)) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(/ (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))) (pow b 5)) |
(/ (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))) (pow b 5)) |
(/ (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))) (pow b 5)) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -1 (/ (+ (* 9/16 (pow a 2)) (* 135/128 (/ (* (pow a 3) c) (pow b 2)))) (pow b 5))) |
(* -1 (/ (+ (* 9/16 (pow a 2)) (* 135/128 (/ (* (pow a 3) c) (pow b 2)))) (pow b 5))) |
(* -1 (/ (+ (* 9/16 (pow a 2)) (* 135/128 (/ (* (pow a 3) c) (pow b 2)))) (pow b 5))) |
(* -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))))))) |
(* 1/3 (* (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 (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b)))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2))))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2)))))) (* 1/2 (/ 1 (* b (pow c 3)))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))) c)))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))) 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 (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (+ (* -1/2 (/ c (* (pow a 3) b))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* -1 (* (pow a 3) (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))) a)) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))) a)) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -9/16 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -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 7)) |
(/ (+ (* -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 7)) |
(* -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) |
(/ (+ (* -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)))))) 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) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* 135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6)))))) 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 (/ 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)) |
(* 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)))))) |
(* -1/2 c) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2)) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2)) |
(/ (+ (* -1/2 (* (pow b 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)))) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -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)))) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -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)))) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2))))) |
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2))))) |
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ 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))))))) |
(* -3/8 (/ (pow c 2) (pow b 2))) |
(* -3/8 (/ (pow c 2) (pow b 2))) |
(* -3/8 (/ (pow c 2) (pow b 2))) |
(* -3/8 (/ (pow c 2) (pow b 2))) |
(* -3/8 (/ (pow c 2) (pow b 2))) |
(* -3/8 (/ (pow c 2) (pow b 2))) |
(* -3/8 (/ (pow c 2) (pow b 2))) |
(* -3/8 (/ (pow c 2) (pow b 2))) |
(* -3/8 (/ (pow c 2) (pow b 2))) |
(* -3/8 (/ (pow c 2) (pow b 2))) |
(* -3/8 (/ (pow c 2) (pow b 2))) |
(* -3/8 (/ (pow c 2) (pow b 2))) |
(* -3/8 (/ (pow c 2) (pow b 2))) |
(* -3/8 (/ (pow c 2) (pow b 2))) |
(* -3/8 (/ (pow c 2) (pow b 2))) |
(* -3/8 (/ (pow c 2) (pow b 2))) |
(* -3/8 (/ (pow c 2) (pow b 2))) |
(* -3/8 (/ (pow c 2) (pow b 2))) |
(* -3/8 (/ (pow c 2) (pow b 2))) |
(* -3/8 (/ (pow c 2) (pow b 2))) |
(* -3/8 (/ (pow c 2) (pow b 2))) |
(* -3/8 (/ (pow c 2) (pow b 2))) |
(* -3/8 (/ (pow c 2) (pow b 2))) |
(* -3/8 (/ (pow c 2) (pow b 2))) |
(* a (+ (* -3 b) (* 3 b))) |
(* a (+ (* -9/2 (/ (* a c) b)) (+ (* -3 b) (* 3 b)))) |
(* a (+ (* -3 b) (+ (* 3 b) (* a (+ (* -9/2 (/ c b)) (* -27/8 (/ (* a (pow c 2)) (pow b 3)))))))) |
(* a (+ (* -3 b) (+ (* 3 b) (* a (+ (* -9/2 (/ c b)) (* a (+ (* -81/16 (/ (* a (pow c 3)) (pow b 5))) (* -27/8 (/ (pow c 2) (pow b 3)))))))))) |
(* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) |
(* (pow a 2) (+ (* -3 (/ b a)) (* 3 (* (sqrt (/ c a)) (sqrt -3))))) |
(* (pow a 2) (+ (* -3 (/ b a)) (+ (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* (pow a 2) (+ (* -3 (/ b a)) (+ (* -3/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 3 (* (sqrt (/ c a)) (sqrt -3))))))) |
(* -3 (* (sqrt (* (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) |
(* (pow a 2) (+ (* -3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -3 (/ b a)))) |
(* (pow a 2) (+ (* -3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* 3/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3 b)) a)))) |
(* (pow a 2) (+ (* -3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (+ (* -3/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 3 b)) a)))) |
(+ (* -3 (* a b)) (* 3 (* a b))) |
(+ (* -9/2 (/ (* (pow a 2) c) b)) (+ (* -3 (* a b)) (* 3 (* a b)))) |
(+ (* -3 (* a b)) (+ (* 3 (* a b)) (* c (+ (* -9/2 (/ (pow a 2) b)) (* -27/8 (/ (* (pow a 3) c) (pow b 3))))))) |
(+ (* -3 (* a b)) (+ (* 3 (* a b)) (* c (+ (* -9/2 (/ (pow a 2) b)) (* c (+ (* -81/16 (/ (* (pow a 4) c) (pow b 5))) (* -27/8 (/ (pow a 3) (pow b 3))))))))) |
(* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) |
(* c (+ (* -3 (/ (* a b) c)) (* 3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))))) |
(* c (+ (* -3 (/ (* a b) c)) (+ (* 3/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (* 3 (* (sqrt (/ (pow a 3) c)) (sqrt -3)))))) |
(* c (+ (* -3 (/ (* a b) c)) (+ (* -3/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 3/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (* 3 (* (sqrt (/ (pow a 3) c)) (sqrt -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 (+ (* -1 (/ (+ (* -3 (* a b)) (* -3/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -3 (* a b)) (* -1 (/ (+ (* -3/8 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (* a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* 3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3))))))) |
(* 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 (+ (* -3/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))))))) |
(* b (+ (* -3 a) (* 3 a))) |
(* b (+ (* -9/2 (/ (* (pow a 2) c) (pow b 2))) (+ (* -3 a) (* 3 a)))) |
(* b (+ (* -9/2 (/ (* (pow a 2) c) (pow b 2))) (+ (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -3 a) (* 3 a))))) |
(* b (+ (* -81/16 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -9/2 (/ (* (pow a 2) c) (pow b 2))) (+ (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -3 a) (* 3 a)))))) |
(* -6 (* a b)) |
(* -1 (* b (+ (* -9/2 (/ (* (pow a 2) c) (pow b 2))) (* 6 a)))) |
(* -1 (* b (+ (* -9/2 (/ (* (pow a 2) c) (pow b 2))) (+ (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 6 a))))) |
(* -1 (* b (+ (* -81/16 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -9/2 (/ (* (pow a 2) c) (pow b 2))) (+ (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 6 a)))))) |
(* 1/9 (/ (+ (* -3 b) (* 3 b)) a)) |
(/ (+ (* -1/2 (/ (* a c) b)) (* 1/9 (+ (* -3 b) (* 3 b)))) a) |
(/ (+ (* 1/9 (+ (* -3 b) (* 3 b))) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/ (+ (* 1/9 (+ (* -3 b) (* 3 b))) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) a) |
(* 1/3 (* (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))))) |
(* 1/9 (/ (+ (* -3 (* a b)) (* 3 (* a b))) (pow a 2))) |
(+ (* -1/2 (/ c b)) (* 1/9 (/ (+ (* -3 (* a b)) (* 3 (* a b))) (pow a 2)))) |
(+ (* 1/9 (/ (+ (* -3 (* a b)) (* 3 (* a b))) (pow a 2))) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))) |
(+ (* 1/9 (/ (+ (* -3 (* a b)) (* 3 (* a b))) (pow a 2))) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 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 (* (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))))) |
(* 1/9 (/ (* b (+ (* -3 a) (* 3 a))) (pow a 2))) |
(* b (+ (* -1/2 (/ c (pow b 2))) (* 1/9 (/ (+ (* -3 a) (* 3 a)) (pow a 2))))) |
(* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 1/9 (/ (+ (* -3 a) (* 3 a)) (pow a 2)))))) |
(* 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))) (* 1/9 (/ (+ (* -3 a) (* 3 a)) (pow a 2))))))) |
(* -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))))))) |
(* 3 a) |
(* 3 a) |
(* 3 a) |
(* 3 a) |
(* 3 a) |
(* 3 a) |
(* 3 a) |
(* 3 a) |
(* 3 a) |
(* 3 a) |
(* 3 a) |
(* 3 a) |
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)))))))) |
(* (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)))))))) |
(+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))) |
(+ (* 1/9 (pow b 2)) (+ (* 2/9 (pow b 2)) (* a (+ (* -1/3 c) (* -1/6 c))))) |
(+ (* 1/9 (pow b 2)) (+ (* 2/9 (pow b 2)) (* a (+ (* -1/3 c) (+ (* -1/6 c) (* -1/8 (/ (* a (pow c 2)) (pow b 2)))))))) |
(+ (* 1/9 (pow b 2)) (+ (* 2/9 (pow b 2)) (* a (+ (* -1/3 c) (+ (* -1/6 c) (* a (+ (* -3/16 (/ (* a (pow c 3)) (pow b 4))) (* -1/8 (/ (pow c 2) (pow b 2)))))))))) |
(* a (+ (* -1/3 c) (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3)))))) |
(* a (+ (* -1/3 c) (+ (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3)))) (* 2/9 (/ (pow b 2) a))))) |
(* a (+ (* -1/3 c) (+ (* 1/18 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -3)))) (+ (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3)))) (* 2/9 (/ (pow b 2) a)))))) |
(* a (+ (* -1/3 c) (+ (* -1/72 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 5) (pow (sqrt -3) 3)))) (+ (* 1/18 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -3)))) (+ (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3)))) (* 2/9 (/ (pow b 2) a))))))) |
(* -1 (* a (+ (* 1/9 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 c)))) |
(* -1 (* a (+ (* -2/9 (/ (pow b 2) a)) (+ (* 1/9 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 c))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (* 2/9 (pow b 2))) a)) (+ (* 1/9 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 c))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/72 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/18 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt 3))))) a)) (* 2/9 (pow b 2))) a)) (+ (* 1/9 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 c))))) |
(+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))) |
(+ (* 1/9 (pow b 2)) (+ (* 2/9 (pow b 2)) (* c (+ (* -1/3 a) (* -1/6 a))))) |
(+ (* 1/9 (pow b 2)) (+ (* 2/9 (pow b 2)) (* c (+ (* -1/3 a) (+ (* -1/6 a) (* -1/8 (/ (* (pow a 2) c) (pow b 2)))))))) |
(+ (* 1/9 (pow b 2)) (+ (* 2/9 (pow b 2)) (* c (+ (* -1/3 a) (+ (* -1/6 a) (* c (+ (* -3/16 (/ (* (pow a 3) c) (pow b 4))) (* -1/8 (/ (pow a 2) (pow b 2)))))))))) |
(* c (+ (* -1/3 a) (* 1/9 (* (sqrt (/ a c)) (* b (sqrt -3)))))) |
(* c (+ (* -1/3 a) (+ (* 1/9 (* (sqrt (/ a c)) (* b (sqrt -3)))) (* 2/9 (/ (pow b 2) c))))) |
(* c (+ (* -1/3 a) (+ (* 1/18 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -3)))) (+ (* 1/9 (* (sqrt (/ a c)) (* b (sqrt -3)))) (* 2/9 (/ (pow b 2) c)))))) |
(* c (+ (* -1/3 a) (+ (* -1/72 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 5) (pow (sqrt -3) 3)))) (+ (* 1/18 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -3)))) (+ (* 1/9 (* (sqrt (/ a c)) (* b (sqrt -3)))) (* 2/9 (/ (pow b 2) c))))))) |
(* -1 (* c (+ (* 1/9 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 a)))) |
(* -1 (* c (+ (* -2/9 (/ (pow b 2) c)) (+ (* 1/9 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 a))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (* 2/9 (pow b 2))) c)) (+ (* 1/9 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 a))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/72 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/18 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt 3))))) c)) (* 2/9 (pow b 2))) c)) (+ (* 1/9 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 a))))) |
(* -1/3 (* a c)) |
(+ (* -1/3 (* a c)) (* 1/9 (* (sqrt (* a c)) (* b (sqrt -3))))) |
(+ (* -1/3 (* a c)) (* b (+ (* 1/9 (* (sqrt (* a c)) (sqrt -3))) (* 2/9 b)))) |
(+ (* -1/3 (* a c)) (* b (+ (* 1/9 (* (sqrt (* a c)) (sqrt -3))) (* b (+ 2/9 (* 1/18 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3))))))))) |
(* 1/3 (pow b 2)) |
(* (pow b 2) (+ 1/3 (+ (* -1/3 (/ (* a c) (pow b 2))) (* -1/6 (/ (* a c) (pow b 2)))))) |
(* (pow b 2) (+ 1/3 (+ (* -1/3 (/ (* a c) (pow b 2))) (+ (* -1/6 (/ (* a c) (pow b 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* (pow b 2) (+ 1/3 (+ (* -1/3 (/ (* a c) (pow b 2))) (+ (* -3/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/6 (/ (* a c) (pow b 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* 1/9 (pow b 2)) |
(* (pow b 2) (+ 1/9 (+ (* -1/3 (/ (* a c) (pow b 2))) (* 1/6 (/ (* a c) (pow b 2)))))) |
(* (pow b 2) (+ 1/9 (+ (* -1/3 (/ (* a c) (pow b 2))) (+ (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 1/6 (/ (* a c) (pow b 2))))))) |
(* (pow b 2) (+ 1/9 (+ (* -1/3 (/ (* a c) (pow b 2))) (+ (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 1/6 (/ (* a c) (pow b 2))) (* 3/16 (/ (* (pow a 3) (pow c 3)) (pow b 6)))))))) |
(* 1/54 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))) |
(+ (* 1/54 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))) (* a (- (* 1/54 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))) (* 1/54 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (+ (* -1/3 c) (* -1/6 c))) (* (pow b 3) (pow (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))) 2))))))) |
(+ (* 1/54 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))) (* a (- (+ (* 1/54 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))) (* a (- (* 1/54 (/ (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6)))) (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))) (+ (* -1/432 (/ (* (pow c 2) (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c)))) (* (pow b 5) (pow (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))) 2)))) (/ (* (+ (* -1/3 c) (* -1/6 c)) (- (* 1/54 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))) (* 1/54 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (+ (* -1/3 c) (* -1/6 c))) (* (pow b 3) (pow (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))) 2)))))) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))))) (* 1/54 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (+ (* -1/3 c) (* -1/6 c))) (* (pow b 3) (pow (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))) 2))))))) |
(+ (* 1/54 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))) (* a (- (+ (* 1/54 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))) (* a (- (+ (* 1/54 (/ (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6)))) (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))) (* a (- (* -1/54 (/ (+ (* 1/4 (/ (pow (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) 2) (pow b 6))) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6))))) (pow b 6)))) (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))) (+ (* -1/8 (/ (* (pow c 2) (- (* 1/54 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))) (* 1/54 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (+ (* -1/3 c) (* -1/6 c))) (* (pow b 3) (pow (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))) 2)))))) (* (pow b 2) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))) (+ (* -1/288 (/ (* (pow c 3) (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c)))) (* (pow b 7) (pow (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))) 2)))) (/ (* (+ (* -1/3 c) (* -1/6 c)) (- (* 1/54 (/ (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6)))) (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))) (+ (* -1/432 (/ (* (pow c 2) (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c)))) (* (pow b 5) (pow (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))) 2)))) (/ (* (+ (* -1/3 c) (* -1/6 c)) (- (* 1/54 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))) (* 1/54 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (+ (* -1/3 c) (* -1/6 c))) (* (pow b 3) (pow (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))) 2)))))) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))))))) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))))))))) (+ (* -1/432 (/ (* (pow c 2) (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c)))) (* (pow b 5) (pow (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))) 2)))) (/ (* (+ (* -1/3 c) (* -1/6 c)) (- (* 1/54 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))) (* 1/54 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (+ (* -1/3 c) (* -1/6 c))) (* (pow b 3) (pow (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))) 2)))))) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))))) (* 1/54 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (+ (* -1/3 c) (* -1/6 c))) (* (pow b 3) (pow (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))) 2))))))) |
(* 1/27 (* (sqrt (/ (pow c 3) a)) (/ (sqrt -27) (+ (* -1/3 c) (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3)))))))) |
(+ (* -2/243 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -27)) (pow (+ (* -1/3 c) (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3))))) 2)))) (* 1/27 (* (sqrt (/ (pow c 3) a)) (/ (sqrt -27) (+ (* -1/3 c) (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3))))))))) |
(- (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* (sqrt -27) (+ (* -1/3 c) (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3))))))))) (* 1/27 (* (sqrt (/ (pow c 3) a)) (/ (sqrt -27) (+ (* -1/3 c) (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3))))))))) (+ (* -4/2187 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -27)) (pow (+ (* -1/3 c) (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3))))) 3)))) (+ (* 1/486 (/ (* (pow b 3) (* c (sqrt -27))) (* (pow a 2) (* (sqrt -3) (pow (+ (* -1/3 c) (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3))))) 2))))) (+ (* 2/243 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -27)) (pow (+ (* -1/3 c) (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3))))) 2)))) (* 1/27 (/ (pow b 3) (* (pow a 2) (+ (* -1/3 c) (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3)))))))))))) |
(- (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* (sqrt -27) (+ (* -1/3 c) (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3))))))))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (* (sqrt -27) (+ (* -1/3 c) (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3))))))))) (* 1/27 (* (sqrt (/ (pow c 3) a)) (/ (sqrt -27) (+ (* -1/3 c) (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3)))))))))) (+ (* -4/2187 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -27)) (pow (+ (* -1/3 c) (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3))))) 3)))) (+ (* -1/2187 (/ (* (pow b 5) (* c (sqrt -27))) (* (pow a 3) (* (sqrt -3) (pow (+ (* -1/3 c) (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3))))) 3))))) (+ (* 1/486 (/ (* (pow b 3) (* c (sqrt -27))) (* (pow a 2) (* (sqrt -3) (pow (+ (* -1/3 c) (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3))))) 2))))) (+ (* 2/243 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -27)) (pow (+ (* -1/3 c) (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3))))) 2)))) (+ (* 1/27 (/ (pow b 3) (* (pow a 2) (+ (* -1/3 c) (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3)))))))) (* 2/9 (/ (* (pow b 2) (- (* 1/54 (* (sqrt (/ a (pow c 3))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* (sqrt -27) (+ (* -1/3 c) (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3))))))))) (+ (* -4/2187 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (sqrt -27)) (pow (+ (* -1/3 c) (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3))))) 3)))) (+ (* 1/486 (/ (* (pow b 3) (* c (sqrt -27))) (* (sqrt -3) (pow (+ (* -1/3 c) (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3))))) 2)))) (* 1/27 (/ (pow b 3) (+ (* -1/3 c) (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3))))))))))) (* (pow a 3) (+ (* -1/3 c) (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3)))))))))))))) |
(* -1/27 (* (sqrt (/ (pow c 3) a)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 1/9 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 c))))) |
(+ (* -1/27 (* (sqrt (/ (pow c 3) a)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 1/9 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 c))))) (* -2/243 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (* (sqrt -1) (sqrt 27))) (pow (+ (* 1/9 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 c)) 2))))) |
(+ (* -1 (/ (- (+ (* 2/243 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 27))) (pow (+ (* 1/9 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 c)) 2)))) (* 1/54 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (* (sqrt 27) (+ (* 1/9 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 c))))))) (+ (* -4/2187 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 4) (* (sqrt -1) (sqrt 27))) (pow (+ (* 1/9 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 c)) 3)))) (+ (* 1/486 (/ (* (pow b 3) (* c (sqrt 27))) (* a (* (sqrt 3) (pow (+ (* 1/9 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 c)) 2))))) (* 1/27 (/ (pow b 3) (* a (+ (* 1/9 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 c)))))))) a)) (* -1/27 (* (sqrt (/ (pow c 3) a)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 1/9 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 c)))))) |
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(* 1/54 (/ (* c (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4))))) (* a (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))))))) |
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(* c (+ (* 1/54 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (* a (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))))))) (* c (- (+ (* 1/54 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))))))) (* c (- (+ (* 1/54 (/ (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))) (* a (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))))))) (* c (- (* -1/54 (/ (+ (* 1/4 (/ (pow (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) 2) (pow b 6))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6))))) (pow b 6)))) (* a (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))))))) (+ (* -1/8 (/ (* (pow a 2) (- (* 1/54 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))))))) (* 1/54 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -1/3 a) (* -1/6 a))) (* a (* (pow b 3) (pow (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))) 2))))))) (* (pow b 2) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))) (+ (* -1/288 (/ (* (pow a 2) (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4))))) (* (pow b 7) (pow (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))) 2)))) (/ (* (+ (* -1/3 a) (* -1/6 a)) (- (* 1/54 (/ (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))) (* a (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))))))) (+ (* -1/432 (/ (* a (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4))))) (* (pow b 5) (pow (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))) 2)))) (/ (* (+ (* -1/3 a) (* -1/6 a)) (- (* 1/54 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))))))) (* 1/54 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -1/3 a) (* -1/6 a))) (* a (* (pow b 3) (pow (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))) 2))))))) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))))))) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))))))))) (+ (* -1/432 (/ (* a (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4))))) (* (pow b 5) (pow (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))) 2)))) (/ (* (+ (* -1/3 a) (* -1/6 a)) (- (* 1/54 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))))))) (* 1/54 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -1/3 a) (* -1/6 a))) (* a (* (pow b 3) (pow (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))) 2))))))) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))))) (* 1/54 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -1/3 a) (* -1/6 a))) (* a (* (pow b 3) (pow (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))) 2))))))))) |
(* 1/27 (* (sqrt (* a c)) (/ (sqrt -27) (+ (* -1/3 a) (* 1/9 (* (sqrt (/ a c)) (* b (sqrt -3)))))))) |
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(* c (- (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* (sqrt -27) (+ (* -1/3 a) (* 1/9 (* (sqrt (/ a c)) (* b (sqrt -3))))))))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (* (sqrt -27) (+ (* -1/3 a) (* 1/9 (* (sqrt (/ a c)) (* b (sqrt -3))))))))) (* 1/27 (* (sqrt (/ a c)) (/ (sqrt -27) (+ (* -1/3 a) (* 1/9 (* (sqrt (/ a c)) (* b (sqrt -3)))))))))) (+ (* -4/2187 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 4) (sqrt -27)) (pow (+ (* -1/3 a) (* 1/9 (* (sqrt (/ a c)) (* b (sqrt -3))))) 3)))) (+ (* -1/2187 (/ (* (pow b 5) (sqrt -27)) (* (pow c 3) (* (sqrt -3) (pow (+ (* -1/3 a) (* 1/9 (* (sqrt (/ a c)) (* b (sqrt -3))))) 3))))) (+ (* 1/486 (/ (* (pow b 3) (sqrt -27)) (* (pow c 2) (* (sqrt -3) (pow (+ (* -1/3 a) (* 1/9 (* (sqrt (/ a c)) (* b (sqrt -3))))) 2))))) (+ (* 2/243 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -27)) (pow (+ (* -1/3 a) (* 1/9 (* (sqrt (/ a c)) (* b (sqrt -3))))) 2)))) (+ (* 1/27 (/ (pow b 3) (* a (* (pow c 2) (+ (* -1/3 a) (* 1/9 (* (sqrt (/ a c)) (* b (sqrt -3))))))))) (* 2/9 (/ (* (pow b 2) (- (* 1/54 (* (sqrt (/ c (pow a 5))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* (sqrt -27) (+ (* -1/3 a) (* 1/9 (* (sqrt (/ a c)) (* b (sqrt -3))))))))) (+ (* -4/2187 (* (sqrt (/ a c)) (/ (* (pow b 4) (sqrt -27)) (pow (+ (* -1/3 a) (* 1/9 (* (sqrt (/ a c)) (* b (sqrt -3))))) 3)))) (+ (* 1/486 (/ (* (pow b 3) (sqrt -27)) (* (sqrt -3) (pow (+ (* -1/3 a) (* 1/9 (* (sqrt (/ a c)) (* b (sqrt -3))))) 2)))) (* 1/27 (/ (pow b 3) (* a (+ (* -1/3 a) (* 1/9 (* (sqrt (/ a c)) (* b (sqrt -3)))))))))))) (* (pow c 3) (+ (* -1/3 a) (* 1/9 (* (sqrt (/ a c)) (* b (sqrt -3))))))))))))))) |
(* -1/27 (* (sqrt (* a c)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 1/9 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 a))))) |
(* -1 (* c (+ (* 2/243 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (* (sqrt -1) (sqrt 27))) (pow (+ (* 1/9 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 a)) 2)))) (* 1/27 (* (sqrt (/ a c)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 1/9 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 a)))))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (- (* 1/54 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (* (sqrt 27) (+ (* 1/9 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 a)))))) (+ (* -4/2187 (* (sqrt (/ a c)) (/ (* (pow b 4) (* (sqrt -1) (sqrt 27))) (pow (+ (* 1/9 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 a)) 3)))) (+ (* 1/486 (/ (* (pow b 3) (sqrt 27)) (* (sqrt 3) (pow (+ (* 1/9 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 a)) 2)))) (* 1/27 (/ (pow b 3) (* a (+ (* 1/9 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 a)))))))) c)) (* 2/243 (* (sqrt (/ a c)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 27))) (pow (+ (* 1/9 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 a)) 2))))) c)) (* 1/27 (* (sqrt (/ a c)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 1/9 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 a)))))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/54 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (* (sqrt 27) (+ (* 1/9 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 a)))))) (+ (* -1/2187 (/ (* (pow b 5) (sqrt 27)) (* (sqrt 3) (pow (+ (* 1/9 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 a)) 3)))) (* 2/9 (/ (* (pow b 2) (- (* 1/54 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (* (sqrt 27) (+ (* 1/9 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 a)))))) (+ (* -4/2187 (* (sqrt (/ a c)) (/ (* (pow b 4) (* (sqrt -1) (sqrt 27))) (pow (+ (* 1/9 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 a)) 3)))) (+ (* 1/486 (/ (* (pow b 3) (sqrt 27)) (* (sqrt 3) (pow (+ (* 1/9 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 a)) 2)))) (* 1/27 (/ (pow b 3) (* a (+ (* 1/9 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 a))))))))) (+ (* 1/9 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 a)))))) c)) (* 1/54 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (* (sqrt 27) (+ (* 1/9 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 a))))))) (+ (* -4/2187 (* (sqrt (/ a c)) (/ (* (pow b 4) (* (sqrt -1) (sqrt 27))) (pow (+ (* 1/9 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 a)) 3)))) (+ (* 1/486 (/ (* (pow b 3) (sqrt 27)) (* (sqrt 3) (pow (+ (* 1/9 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 a)) 2)))) (* 1/27 (/ (pow b 3) (* a (+ (* 1/9 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 a)))))))) c)) (* 2/243 (* (sqrt (/ a c)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 27))) (pow (+ (* 1/9 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 a)) 2))))) c)) (* 1/27 (* (sqrt (/ a c)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 1/9 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 a)))))))) |
(* -1/9 (* (sqrt (/ c a)) (sqrt -27))) |
(+ (* -1/9 (* (sqrt (/ c a)) (sqrt -27))) (* -1/27 (/ (* b (* (sqrt -27) (sqrt -3))) a))) |
(+ (* -1/9 (* (sqrt (/ c a)) (sqrt -27))) (* b (- (* b (- (* -1/18 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (sqrt -27)))) (+ (* 1/81 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -27) (pow (sqrt -3) 2)))) (* 2/27 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -27)))))) (* 1/27 (/ (* (sqrt -27) (sqrt -3)) a))))) |
(+ (* -1/9 (* (sqrt (/ c a)) (sqrt -27))) (* b (- (* b (- (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (sqrt -27)))) (* b (- (* 1/9 (/ 1 (* (pow a 2) c))) (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (- (* -1/18 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (sqrt -27)))) (+ (* 1/81 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -27) (pow (sqrt -3) 2)))) (* 2/27 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -27)))))))) (+ (* 1/54 (/ (sqrt -27) (* (pow a 2) (* c (sqrt -3))))) (* 2/81 (/ (* (sqrt -27) (sqrt -3)) (* (pow a 2) c)))))))) (+ (* 1/81 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -27) (pow (sqrt -3) 2)))) (* 2/27 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -27)))))) (* 1/27 (/ (* (sqrt -27) (sqrt -3)) a))))) |
(* 1/18 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (* a b))) |
(/ (- (+ (* 1/18 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (* 1/18 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (* a (pow b 2))))) (* 1/6 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -1/3 (* a c)) (* -1/6 (* a c)))) (* a (pow b 2))))) b) |
(/ (- (+ (* 1/18 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (+ (* 1/18 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) (* a (pow b 4)))) (* 1/18 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (* a (pow b 2)))))) (+ (* -1/48 (/ (* a (* (pow c 2) (+ (* -6 (* a c)) (* -3 (* a c))))) (pow b 4))) (+ (* 1/6 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -1/3 (* a c)) (* -1/6 (* a c)))) (* a (pow b 2)))) (* 3 (/ (* (+ (* -1/3 (* a c)) (* -1/6 (* a c))) (- (* 1/18 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (* 1/6 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -1/3 (* a c)) (* -1/6 (* a c)))) a)))) (pow b 4)))))) b) |
(/ (- (+ (* -1/18 (/ (+ (* 1/4 (pow (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) 2)) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))))))))) (* a (pow b 6)))) (+ (* 1/18 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (+ (* 1/18 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) (* a (pow b 4)))) (* 1/18 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (* a (pow b 2))))))) (+ (* -3/8 (/ (* (pow a 2) (* (pow c 2) (- (* 1/18 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (* 1/6 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -1/3 (* a c)) (* -1/6 (* a c)))) a))))) (pow b 6))) (+ (* -1/32 (/ (* (pow a 2) (* (pow c 3) (+ (* -6 (* a c)) (* -3 (* a c))))) (pow b 6))) (+ (* -1/48 (/ (* a (* (pow c 2) (+ (* -6 (* a c)) (* -3 (* a c))))) (pow b 4))) (+ (* 1/6 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -1/3 (* a c)) (* -1/6 (* a c)))) (* a (pow b 2)))) (+ (* 3 (/ (* (+ (* -1/3 (* a c)) (* -1/6 (* a c))) (- (* 1/18 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) a)) (+ (* -1/48 (* a (* (pow c 2) (+ (* -6 (* a c)) (* -3 (* a c)))))) (* 3 (* (+ (* -1/3 (* a c)) (* -1/6 (* a c))) (- (* 1/18 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (* 1/6 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -1/3 (* a c)) (* -1/6 (* a c)))) a)))))))) (pow b 6))) (* 3 (/ (* (+ (* -1/3 (* a c)) (* -1/6 (* a c))) (- (* 1/18 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (* 1/6 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -1/3 (* a c)) (* -1/6 (* a c)))) a)))) (pow b 4))))))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (- (+ (* 1/6 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (* a (pow b 2)))) (* 2/3 (/ 1 a))) (* 6 (/ (+ (* -1/3 (* a c)) (* 1/6 (* a c))) (* a (pow b 2))))))) |
(* -1 (* b (- (+ (* 1/6 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (* a (pow b 2)))) (+ (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (* a (pow b 4)))) (* 2/3 (/ 1 a)))) (+ (* 3/4 (/ (* a (pow c 2)) (pow b 4))) (+ (* 6 (/ (+ (* -1/3 (* a c)) (* 1/6 (* a c))) (* a (pow b 2)))) (* 9 (/ (* (+ (* -1/3 (* a c)) (* 1/6 (* a c))) (- (* 1/6 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (* 6 (/ (+ (* -1/3 (* a c)) (* 1/6 (* a c))) a)))) (pow b 4)))))))) |
(* -1 (* b (- (+ (* 1/6 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (* a (pow b 2)))) (+ (* 1/6 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) (* a (pow b 6)))) (+ (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (* a (pow b 4)))) (* 2/3 (/ 1 a))))) (+ (* 3/4 (/ (* a (pow c 2)) (pow b 4))) (+ (* 9/8 (/ (* (pow a 2) (* (pow c 2) (- (* 1/6 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (* 6 (/ (+ (* -1/3 (* a c)) (* 1/6 (* a c))) a))))) (pow b 6))) (+ (* 9/8 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* 6 (/ (+ (* -1/3 (* a c)) (* 1/6 (* a c))) (* a (pow b 2)))) (+ (* 9 (/ (* (+ (* -1/3 (* a c)) (* 1/6 (* a c))) (- (* 1/6 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (* 6 (/ (+ (* -1/3 (* a c)) (* 1/6 (* a c))) a)))) (pow b 4))) (* 9 (/ (* (+ (* -1/3 (* a c)) (* 1/6 (* a c))) (- (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (+ (* 3/4 (* a (pow c 2))) (* 9 (* (+ (* -1/3 (* a c)) (* 1/6 (* a c))) (- (* 1/6 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (* 6 (/ (+ (* -1/3 (* a c)) (* 1/6 (* a c))) a)))))))) (pow b 6))))))))))) |
(* 1/54 (/ (* a (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c)))) (pow b 3))) |
(* a (+ (* 1/54 (/ (* a (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 3))) (* 1/54 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (pow b 3))))) |
(* a (+ (* 1/54 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (pow b 3))) (* a (+ (* 1/54 (/ (* a (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/54 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (pow b 3))))))) |
(* a (+ (* 1/54 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (pow b 3))) (* a (+ (* 1/54 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (pow b 3))) (* a (+ (* -1/54 (/ (* a (+ (* 1/4 (/ (pow (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) 2) (pow b 6))) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/54 (/ (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6)))) (pow b 3))))))))) |
(* 1/27 (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -27))) |
(* (pow a 2) (- (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (sqrt -27)))) (* 1/27 (* (sqrt (/ (pow c 3) a)) (sqrt -27)))) (* 1/27 (/ (pow b 3) (pow a 2))))) |
(* (pow a 2) (- (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (sqrt -27)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (sqrt -27)))) (* 1/27 (* (sqrt (/ (pow c 3) a)) (sqrt -27))))) (* 1/27 (/ (pow b 3) (pow a 2))))) |
(* (pow a 2) (- (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (sqrt -27)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (sqrt -27)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (/ (- (pow b 6) (* 1/4 (/ (* a (pow (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) 2)) (* (pow c 3) (pow (sqrt -27) 2))))) (sqrt -27)))) (* 1/27 (* (sqrt (/ (pow c 3) a)) (sqrt -27)))))) (* 1/27 (/ (pow b 3) (pow a 2))))) |
(* 1/27 (* (sqrt (* (pow a 3) (pow c 3))) (* (sqrt -1) (sqrt 27)))) |
(* (pow a 2) (- (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 27)))) (* 1/27 (* (sqrt (/ (pow c 3) a)) (* (sqrt -1) (sqrt 27))))) (* 1/27 (/ (pow b 3) (pow a 2))))) |
(* (pow a 2) (- (+ (* -1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (sqrt -1) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (sqrt 27)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 27)))) (* 1/27 (* (sqrt (/ (pow c 3) a)) (* (sqrt -1) (sqrt 27)))))) (* 1/27 (/ (pow b 3) (pow a 2))))) |
(* (pow a 2) (- (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (sqrt -1) (- (pow b 6) (* -1/4 (/ (* a (pow (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) 2)) (* (pow c 3) (pow (sqrt 27) 2)))))) (sqrt 27)))) (* 1/54 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (sqrt 27))))) (pow a 3))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 27)))) (* 1/27 (* (sqrt (/ (pow c 3) a)) (* (sqrt -1) (sqrt 27)))))) (* 1/27 (/ (pow b 3) (pow a 2))))) |
(* 1/54 (/ (* c (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4))))) (pow b 3))) |
(* c (+ (* 1/54 (/ (* c (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 3))) (* 1/54 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (pow b 3))))) |
(* c (+ (* 1/54 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (pow b 3))) (* c (+ (* 1/54 (/ (* c (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/54 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (pow b 3))))))) |
(* c (+ (* 1/54 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (pow b 3))) (* c (+ (* 1/54 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (pow b 3))) (* c (+ (* -1/54 (/ (* c (+ (* 1/4 (/ (pow (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) 2) (pow b 6))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/54 (/ (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))) (pow b 3))))))))) |
(* 1/27 (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -27))) |
(* (pow c 2) (- (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (sqrt -27)))) (* 1/27 (* (sqrt (/ (pow a 3) c)) (sqrt -27)))) (* 1/27 (/ (pow b 3) (pow c 2))))) |
(* (pow c 2) (- (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (sqrt -27)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (sqrt -27)))) (* 1/27 (* (sqrt (/ (pow a 3) c)) (sqrt -27))))) (* 1/27 (/ (pow b 3) (pow c 2))))) |
(* (pow c 2) (- (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (sqrt -27)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (sqrt -27)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (- (pow b 6) (* 1/4 (/ (* c (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2)) (* (pow a 3) (pow (sqrt -27) 2))))) (sqrt -27)))) (* 1/27 (* (sqrt (/ (pow a 3) c)) (sqrt -27)))))) (* 1/27 (/ (pow b 3) (pow c 2))))) |
(* 1/27 (* (sqrt (* (pow a 3) (pow c 3))) (* (sqrt -1) (sqrt 27)))) |
(* (pow c 2) (- (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 27)))) (* 1/27 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 27))))) (* 1/27 (/ (pow b 3) (pow c 2))))) |
(* (pow c 2) (- (+ (* -1/54 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (sqrt -1) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (sqrt 27)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 27)))) (* 1/27 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 27)))))) (* 1/27 (/ (pow b 3) (pow c 2))))) |
(* (pow c 2) (- (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (- (pow b 6) (* -1/4 (/ (* c (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2)) (* (pow a 3) (pow (sqrt 27) 2)))))) (sqrt 27)))) (* 1/54 (* (sqrt (/ c (pow a 3))) (/ (* (sqrt -1) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (sqrt 27))))) (pow c 3))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 27)))) (* 1/27 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 27)))))) (* 1/27 (/ (pow b 3) (pow c 2))))) |
(* 1/27 (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -27))) |
(+ (* 1/54 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2))))) (sqrt -27)))) (* 1/27 (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -27)))) |
(+ (* 1/27 (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -27))) (* (pow b 2) (+ (* -1/27 b) (* 1/54 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (sqrt -27))))))) |
(+ (* 1/27 (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -27))) (* (pow b 2) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (sqrt -27)))) (* b (- (* 1/54 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (- (+ (* -6 (* a c)) (* -3 (* a c))) (* 1/4 (/ (pow (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) 2) (* (pow a 3) (* (pow c 3) (pow (sqrt -27) 2))))))) (sqrt -27)))) 1/27))))) |
(* 1/54 (* b (+ (* -6 (* a c)) (* -3 (* a c))))) |
(* b (+ (* 1/54 (+ (* -6 (* a c)) (* -3 (* a c)))) (* 1/54 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 2))))) |
(* b (+ (* 1/54 (+ (* -6 (* a c)) (* -3 (* a c)))) (+ (* 1/54 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) (pow b 4))) (* 1/54 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 2)))))) |
(* b (+ (* -1/54 (/ (+ (* 1/4 (pow (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) 2)) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))))))))) (pow b 6))) (+ (* 1/54 (+ (* -6 (* a c)) (* -3 (* a c)))) (+ (* 1/54 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) (pow b 4))) (* 1/54 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 2))))))) |
(* -2/27 (pow b 3)) |
(* -1 (* (pow b 3) (+ 2/27 (* 1/54 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2)))))) |
(* -1 (* (pow b 3) (+ 2/27 (+ (* 1/54 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2))) (* 1/54 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 4))))))) |
(* -1 (* (pow b 3) (+ 2/27 (+ (* 1/54 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2))) (+ (* 1/54 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) (pow b 6))) (* 1/54 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 4)))))))) |
(* 1/9 (* (sqrt (* a c)) (* b (sqrt -3)))) |
(* b (+ (* 1/9 b) (* 1/9 (* (sqrt (* a c)) (sqrt -3))))) |
(* b (+ (* 1/9 (* (sqrt (* a c)) (sqrt -3))) (* b (+ 1/9 (* 1/18 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))))) |
(* b (+ (* 1/9 (* (sqrt (* a c)) (sqrt -3))) (* b (+ 1/9 (* b (+ (* -1/72 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/18 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))))) |
(* 2/9 (pow b 2)) |
(* (pow b 2) (+ 2/9 (* -1/6 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 2/9 (+ (* -1/6 (/ (* a c) (pow b 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* (pow b 2) (+ 2/9 (+ (* -3/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/6 (/ (* a c) (pow b 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* 1/6 (* a c)) |
(+ (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 1/6 (* a c))) |
(+ (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 1/6 (* a c)) (* 3/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) |
(+ (* 1/18 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 1/6 (* a c)) (* 3/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) |
(* 2/9 (pow b 2)) |
(+ (* -1/6 (* a c)) (* 2/9 (pow b 2))) |
(+ (* 2/9 (pow b 2)) (* a (+ (* -1/6 c) (* -1/8 (/ (* a (pow c 2)) (pow b 2)))))) |
(+ (* 2/9 (pow b 2)) (* a (+ (* -1/6 c) (* a (+ (* -3/16 (/ (* a (pow c 3)) (pow b 4))) (* -1/8 (/ (pow c 2) (pow b 2)))))))) |
(* 1/9 (* (sqrt (* a c)) (* b (sqrt -3)))) |
(* a (+ (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3)))) (* 1/9 (/ (pow b 2) a)))) |
(* a (+ (* 1/18 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -3)))) (+ (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3)))) (* 1/9 (/ (pow b 2) a))))) |
(* a (+ (* -1/72 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 5) (pow (sqrt -3) 3)))) (+ (* 1/18 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -3)))) (+ (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3)))) (* 1/9 (/ (pow b 2) a)))))) |
(* -1/9 (* (sqrt (* a c)) (* b (* (sqrt -1) (sqrt 3))))) |
(* -1 (* a (+ (* -1/9 (/ (pow b 2) a)) (* 1/9 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (* 1/9 (pow b 2))) a)) (* 1/9 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/72 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/18 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt 3))))) a)) (* 1/9 (pow b 2))) a)) (* 1/9 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(* 2/9 (pow b 2)) |
(+ (* -1/6 (* a c)) (* 2/9 (pow b 2))) |
(+ (* 2/9 (pow b 2)) (* c (+ (* -1/6 a) (* -1/8 (/ (* (pow a 2) c) (pow b 2)))))) |
(+ (* 2/9 (pow b 2)) (* c (+ (* -1/6 a) (* c (+ (* -3/16 (/ (* (pow a 3) c) (pow b 4))) (* -1/8 (/ (pow a 2) (pow b 2)))))))) |
(* 1/9 (* (sqrt (* a c)) (* b (sqrt -3)))) |
(* c (+ (* 1/9 (* (sqrt (/ a c)) (* b (sqrt -3)))) (* 1/9 (/ (pow b 2) c)))) |
(* c (+ (* 1/18 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -3)))) (+ (* 1/9 (* (sqrt (/ a c)) (* b (sqrt -3)))) (* 1/9 (/ (pow b 2) c))))) |
(* c (+ (* -1/72 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 5) (pow (sqrt -3) 3)))) (+ (* 1/18 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -3)))) (+ (* 1/9 (* (sqrt (/ a c)) (* b (sqrt -3)))) (* 1/9 (/ (pow b 2) c)))))) |
(* -1/9 (* (sqrt (* a c)) (* b (* (sqrt -1) (sqrt 3))))) |
(* -1 (* c (+ (* -1/9 (/ (pow b 2) c)) (* 1/9 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (* 1/9 (pow b 2))) c)) (* 1/9 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/72 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/18 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt 3))))) c)) (* 1/9 (pow b 2))) c)) (* 1/9 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(/ (pow a 4) (pow b 6)) |
(/ (pow a 4) (pow b 6)) |
(/ (pow a 4) (pow b 6)) |
(/ (pow a 4) (pow b 6)) |
(/ (pow a 4) (pow b 6)) |
(/ (pow a 4) (pow b 6)) |
(/ (pow a 4) (pow b 6)) |
(/ (pow a 4) (pow b 6)) |
(/ (pow a 4) (pow b 6)) |
(/ (pow a 4) (pow b 6)) |
(/ (pow a 4) (pow b 6)) |
(/ (pow a 4) (pow b 6)) |
(/ (pow a 4) (pow b 6)) |
(/ (pow a 4) (pow b 6)) |
(/ (pow a 4) (pow b 6)) |
(/ (pow a 4) (pow b 6)) |
(/ (pow a 4) (pow b 6)) |
(/ (pow a 4) (pow b 6)) |
(/ (pow a 4) (pow b 6)) |
(/ (pow a 4) (pow b 6)) |
(/ (pow a 4) (pow b 6)) |
(/ (pow a 4) (pow b 6)) |
(/ (pow a 4) (pow b 6)) |
(/ (pow a 4) (pow b 6)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(* -3 (* a b)) |
(* -3 (* a b)) |
(* -3 (* a b)) |
(* -3 (* a b)) |
(* -3 (* a b)) |
(* -3 (* a b)) |
(* -3 (* a b)) |
(* -3 (* a b)) |
(* -3 (* a b)) |
(* -3 (* a b)) |
(* -3 (* a b)) |
(* -3 (* a b)) |
(* -3 (* a b)) |
(* -3 (* a b)) |
(* -3 (* a b)) |
(* -3 (* a b)) |
(* -3 (* a b)) |
(* -3 (* a b)) |
(* -3 (* a b)) |
(* -3 (* a b)) |
(* -3 (* a b)) |
(* -3 (* a b)) |
(* -3 (* a b)) |
(* -3 (* a b)) |
(* 9 (pow a 2)) |
(* 9 (pow a 2)) |
(* 9 (pow a 2)) |
(* 9 (pow a 2)) |
(* 9 (pow a 2)) |
(* 9 (pow a 2)) |
(* 9 (pow a 2)) |
(* 9 (pow a 2)) |
(* 9 (pow a 2)) |
(* 9 (pow a 2)) |
(* 9 (pow a 2)) |
(* 9 (pow a 2)) |
(* 1/27 (pow b 3)) |
(* 1/27 (pow b 3)) |
(* 1/27 (pow b 3)) |
(* 1/27 (pow b 3)) |
(* 1/27 (pow b 3)) |
(* 1/27 (pow b 3)) |
(* 1/27 (pow b 3)) |
(* 1/27 (pow b 3)) |
(* 1/27 (pow b 3)) |
(* 1/27 (pow b 3)) |
(* 1/27 (pow b 3)) |
(* 1/27 (pow b 3)) |
(* 1/54 (/ (* a (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c)))) (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))) |
(* a (+ (* 1/54 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))) (* a (- (* 1/54 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))) (* 1/54 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (+ (* -1/3 c) (* -1/6 c))) (* (pow b 3) (pow (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))) 2)))))))) |
(* a (+ (* 1/54 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))) (* a (- (+ (* 1/54 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))) (* a (- (* 1/54 (/ (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6)))) (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))) (+ (* -1/432 (/ (* (pow c 2) (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c)))) (* (pow b 5) (pow (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))) 2)))) (/ (* (+ (* -1/3 c) (* -1/6 c)) (- (* 1/54 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))) (* 1/54 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (+ (* -1/3 c) (* -1/6 c))) (* (pow b 3) (pow (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))) 2)))))) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))))) (* 1/54 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (+ (* -1/3 c) (* -1/6 c))) (* (pow b 3) (pow (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))) 2)))))))) |
(* a (+ (* 1/54 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))) (* a (- (+ (* 1/54 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))) (* a (- (+ (* 1/54 (/ (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6)))) (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))) (* a (- (* -1/54 (/ (+ (* 1/4 (/ (pow (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) 2) (pow b 6))) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6))))) (pow b 6)))) (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))) (+ (* -1/8 (/ (* (pow c 2) (- (* 1/54 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))) (* 1/54 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (+ (* -1/3 c) (* -1/6 c))) (* (pow b 3) (pow (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))) 2)))))) (* (pow b 2) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))) (+ (* -1/288 (/ (* (pow c 3) (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c)))) (* (pow b 7) (pow (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))) 2)))) (/ (* (+ (* -1/3 c) (* -1/6 c)) (- (* 1/54 (/ (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6)))) (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))) (+ (* -1/432 (/ (* (pow c 2) (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c)))) (* (pow b 5) (pow (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))) 2)))) (/ (* (+ (* -1/3 c) (* -1/6 c)) (- (* 1/54 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))) (* 1/54 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (+ (* -1/3 c) (* -1/6 c))) (* (pow b 3) (pow (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))) 2)))))) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))))))) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))))))))) (+ (* -1/432 (/ (* (pow c 2) (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c)))) (* (pow b 5) (pow (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))) 2)))) (/ (* (+ (* -1/3 c) (* -1/6 c)) (- (* 1/54 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))) (* 1/54 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (+ (* -1/3 c) (* -1/6 c))) (* (pow b 3) (pow (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))) 2)))))) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))))) (* 1/54 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (+ (* -1/3 c) (* -1/6 c))) (* (pow b 3) (pow (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))) 2)))))))) |
(* 1/27 (* (sqrt (* a (pow c 3))) (/ (sqrt -27) (+ (* -1/3 c) (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3)))))))) |
(* a (+ (* -2/243 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -27)) (pow (+ (* -1/3 c) (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3))))) 2)))) (* 1/27 (* (sqrt (/ (pow c 3) a)) (/ (sqrt -27) (+ (* -1/3 c) (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3)))))))))) |
(* a (- (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* (sqrt -27) (+ (* -1/3 c) (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3))))))))) (* 1/27 (* (sqrt (/ (pow c 3) a)) (/ (sqrt -27) (+ (* -1/3 c) (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3))))))))) (+ (* -4/2187 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -27)) (pow (+ (* -1/3 c) (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3))))) 3)))) (+ (* 1/486 (/ (* (pow b 3) (* c (sqrt -27))) (* (pow a 2) (* (sqrt -3) (pow (+ (* -1/3 c) (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3))))) 2))))) (+ (* 2/243 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -27)) (pow (+ (* -1/3 c) (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3))))) 2)))) (* 1/27 (/ (pow b 3) (* (pow a 2) (+ (* -1/3 c) (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3))))))))))))) |
(* a (- (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* (sqrt -27) (+ (* -1/3 c) (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3))))))))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (* (sqrt -27) (+ (* -1/3 c) (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3))))))))) (* 1/27 (* (sqrt (/ (pow c 3) a)) (/ (sqrt -27) (+ (* -1/3 c) (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3)))))))))) (+ (* -4/2187 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -27)) (pow (+ (* -1/3 c) (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3))))) 3)))) (+ (* -1/2187 (/ (* (pow b 5) (* c (sqrt -27))) (* (pow a 3) (* (sqrt -3) (pow (+ (* -1/3 c) (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3))))) 3))))) (+ (* 1/486 (/ (* (pow b 3) (* c (sqrt -27))) (* (pow a 2) (* (sqrt -3) (pow (+ (* -1/3 c) (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3))))) 2))))) (+ (* 2/243 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -27)) (pow (+ (* -1/3 c) (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3))))) 2)))) (+ (* 1/27 (/ (pow b 3) (* (pow a 2) (+ (* -1/3 c) (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3)))))))) (* 2/9 (/ (* (pow b 2) (- (* 1/54 (* (sqrt (/ a (pow c 3))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* (sqrt -27) (+ (* -1/3 c) (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3))))))))) (+ (* -4/2187 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (sqrt -27)) (pow (+ (* -1/3 c) (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3))))) 3)))) (+ (* 1/486 (/ (* (pow b 3) (* c (sqrt -27))) (* (sqrt -3) (pow (+ (* -1/3 c) (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3))))) 2)))) (* 1/27 (/ (pow b 3) (+ (* -1/3 c) (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3))))))))))) (* (pow a 3) (+ (* -1/3 c) (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3))))))))))))))) |
(* -1/27 (* (sqrt (* a (pow c 3))) (/ (* (sqrt -1) (sqrt 27)) (+ (* 1/9 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 c))))) |
(* -1 (* a (+ (* 2/243 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (* (sqrt -1) (sqrt 27))) (pow (+ (* 1/9 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 c)) 2)))) (* 1/27 (* (sqrt (/ (pow c 3) a)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 1/9 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 c)))))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (- (* 1/54 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (* (sqrt 27) (+ (* 1/9 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 c)))))) (+ (* -4/2187 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (* (sqrt -1) (sqrt 27))) (pow (+ (* 1/9 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 c)) 3)))) (+ (* 1/486 (/ (* (pow b 3) (* c (sqrt 27))) (* (sqrt 3) (pow (+ (* 1/9 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 c)) 2)))) (* 1/27 (/ (pow b 3) (+ (* 1/9 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 c))))))) a)) (* 2/243 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 27))) (pow (+ (* 1/9 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 c)) 2))))) a)) (* 1/27 (* (sqrt (/ (pow c 3) a)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 1/9 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 c)))))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/54 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (* (sqrt 27) (+ (* 1/9 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 c)))))) (+ (* -1/2187 (/ (* (pow b 5) (* c (sqrt 27))) (* (sqrt 3) (pow (+ (* 1/9 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 c)) 3)))) (* 2/9 (/ (* (pow b 2) (- (* 1/54 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (* (sqrt 27) (+ (* 1/9 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 c)))))) (+ (* -4/2187 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (* (sqrt -1) (sqrt 27))) (pow (+ (* 1/9 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 c)) 3)))) (+ (* 1/486 (/ (* (pow b 3) (* c (sqrt 27))) (* (sqrt 3) (pow (+ (* 1/9 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 c)) 2)))) (* 1/27 (/ (pow b 3) (+ (* 1/9 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 c)))))))) (+ (* 1/9 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 c)))))) a)) (* 1/54 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (* (sqrt 27) (+ (* 1/9 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 c))))))) (+ (* -4/2187 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (* (sqrt -1) (sqrt 27))) (pow (+ (* 1/9 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 c)) 3)))) (+ (* 1/486 (/ (* (pow b 3) (* c (sqrt 27))) (* (sqrt 3) (pow (+ (* 1/9 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 c)) 2)))) (* 1/27 (/ (pow b 3) (+ (* 1/9 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 c))))))) a)) (* 2/243 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 27))) (pow (+ (* 1/9 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 c)) 2))))) a)) (* 1/27 (* (sqrt (/ (pow c 3) a)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 1/9 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 c)))))))) |
(* 1/54 (/ (* c (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4))))) (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))) |
(* c (+ (* 1/54 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))) (* c (- (* 1/54 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))) (* 1/54 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -1/3 a) (* -1/6 a))) (* (pow b 3) (pow (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))) 2)))))))) |
(* c (+ (* 1/54 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))) (* c (- (+ (* 1/54 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))) (* c (- (* 1/54 (/ (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))) (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))) (+ (* -1/432 (/ (* (pow a 2) (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4))))) (* (pow b 5) (pow (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))) 2)))) (/ (* (+ (* -1/3 a) (* -1/6 a)) (- (* 1/54 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))) (* 1/54 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -1/3 a) (* -1/6 a))) (* (pow b 3) (pow (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))) 2)))))) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))))) (* 1/54 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -1/3 a) (* -1/6 a))) (* (pow b 3) (pow (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))) 2)))))))) |
(* c (+ (* 1/54 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))) (* c (- (+ (* 1/54 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))) (* c (- (+ (* 1/54 (/ (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))) (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))) (* c (- (* -1/54 (/ (+ (* 1/4 (/ (pow (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) 2) (pow b 6))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6))))) (pow b 6)))) (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))) (+ (* -1/8 (/ (* (pow a 2) (- (* 1/54 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))) (* 1/54 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -1/3 a) (* -1/6 a))) (* (pow b 3) (pow (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))) 2)))))) (* (pow b 2) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))) (+ (* -1/288 (/ (* (pow a 3) (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4))))) (* (pow b 7) (pow (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))) 2)))) (/ (* (+ (* -1/3 a) (* -1/6 a)) (- (* 1/54 (/ (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))) (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))) (+ (* -1/432 (/ (* (pow a 2) (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4))))) (* (pow b 5) (pow (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))) 2)))) (/ (* (+ (* -1/3 a) (* -1/6 a)) (- (* 1/54 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))) (* 1/54 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -1/3 a) (* -1/6 a))) (* (pow b 3) (pow (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))) 2)))))) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))))))) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))))))))) (+ (* -1/432 (/ (* (pow a 2) (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4))))) (* (pow b 5) (pow (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))) 2)))) (/ (* (+ (* -1/3 a) (* -1/6 a)) (- (* 1/54 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* (pow b 3) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))) (* 1/54 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -1/3 a) (* -1/6 a))) (* (pow b 3) (pow (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))) 2)))))) (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2)))))))) (* 1/54 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -1/3 a) (* -1/6 a))) (* (pow b 3) (pow (+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))) 2)))))))) |
(* 1/27 (* (sqrt (* (pow a 3) c)) (/ (sqrt -27) (+ (* -1/3 a) (* 1/9 (* (sqrt (/ a c)) (* b (sqrt -3)))))))) |
(* c (+ (* -2/243 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -27)) (pow (+ (* -1/3 a) (* 1/9 (* (sqrt (/ a c)) (* b (sqrt -3))))) 2)))) (* 1/27 (* (sqrt (/ (pow a 3) c)) (/ (sqrt -27) (+ (* -1/3 a) (* 1/9 (* (sqrt (/ a c)) (* b (sqrt -3)))))))))) |
(* c (- (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* (sqrt -27) (+ (* -1/3 a) (* 1/9 (* (sqrt (/ a c)) (* b (sqrt -3))))))))) (* 1/27 (* (sqrt (/ (pow a 3) c)) (/ (sqrt -27) (+ (* -1/3 a) (* 1/9 (* (sqrt (/ a c)) (* b (sqrt -3))))))))) (+ (* -4/2187 (* (sqrt (/ (pow a 3) (pow c 5))) (/ (* (pow b 4) (sqrt -27)) (pow (+ (* -1/3 a) (* 1/9 (* (sqrt (/ a c)) (* b (sqrt -3))))) 3)))) (+ (* 1/486 (/ (* a (* (pow b 3) (sqrt -27))) (* (pow c 2) (* (sqrt -3) (pow (+ (* -1/3 a) (* 1/9 (* (sqrt (/ a c)) (* b (sqrt -3))))) 2))))) (+ (* 2/243 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -27)) (pow (+ (* -1/3 a) (* 1/9 (* (sqrt (/ a c)) (* b (sqrt -3))))) 2)))) (* 1/27 (/ (pow b 3) (* (pow c 2) (+ (* -1/3 a) (* 1/9 (* (sqrt (/ a c)) (* b (sqrt -3))))))))))))) |
(* c (- (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* (sqrt -27) (+ (* -1/3 a) (* 1/9 (* (sqrt (/ a c)) (* b (sqrt -3))))))))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (* (sqrt -27) (+ (* -1/3 a) (* 1/9 (* (sqrt (/ a c)) (* b (sqrt -3))))))))) (* 1/27 (* (sqrt (/ (pow a 3) c)) (/ (sqrt -27) (+ (* -1/3 a) (* 1/9 (* (sqrt (/ a c)) (* b (sqrt -3)))))))))) (+ (* -4/2187 (* (sqrt (/ (pow a 3) (pow c 5))) (/ (* (pow b 4) (sqrt -27)) (pow (+ (* -1/3 a) (* 1/9 (* (sqrt (/ a c)) (* b (sqrt -3))))) 3)))) (+ (* -1/2187 (/ (* a (* (pow b 5) (sqrt -27))) (* (pow c 3) (* (sqrt -3) (pow (+ (* -1/3 a) (* 1/9 (* (sqrt (/ a c)) (* b (sqrt -3))))) 3))))) (+ (* 1/486 (/ (* a (* (pow b 3) (sqrt -27))) (* (pow c 2) (* (sqrt -3) (pow (+ (* -1/3 a) (* 1/9 (* (sqrt (/ a c)) (* b (sqrt -3))))) 2))))) (+ (* 2/243 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -27)) (pow (+ (* -1/3 a) (* 1/9 (* (sqrt (/ a c)) (* b (sqrt -3))))) 2)))) (+ (* 1/27 (/ (pow b 3) (* (pow c 2) (+ (* -1/3 a) (* 1/9 (* (sqrt (/ a c)) (* b (sqrt -3)))))))) (* 2/9 (/ (* (pow b 2) (- (* 1/54 (* (sqrt (/ c (pow a 3))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* (sqrt -27) (+ (* -1/3 a) (* 1/9 (* (sqrt (/ a c)) (* b (sqrt -3))))))))) (+ (* -4/2187 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 4) (sqrt -27)) (pow (+ (* -1/3 a) (* 1/9 (* (sqrt (/ a c)) (* b (sqrt -3))))) 3)))) (+ (* 1/486 (/ (* a (* (pow b 3) (sqrt -27))) (* (sqrt -3) (pow (+ (* -1/3 a) (* 1/9 (* (sqrt (/ a c)) (* b (sqrt -3))))) 2)))) (* 1/27 (/ (pow b 3) (+ (* -1/3 a) (* 1/9 (* (sqrt (/ a c)) (* b (sqrt -3))))))))))) (* (pow c 3) (+ (* -1/3 a) (* 1/9 (* (sqrt (/ a c)) (* b (sqrt -3))))))))))))))) |
(* -1/27 (* (sqrt (* (pow a 3) c)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 1/9 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 a))))) |
(* -1 (* c (+ (* 2/243 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (* (sqrt -1) (sqrt 27))) (pow (+ (* 1/9 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 a)) 2)))) (* 1/27 (* (sqrt (/ (pow a 3) c)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 1/9 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 a)))))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (- (* 1/54 (* (sqrt (/ c (pow a 3))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (* (sqrt 27) (+ (* 1/9 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 a)))))) (+ (* -4/2187 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 4) (* (sqrt -1) (sqrt 27))) (pow (+ (* 1/9 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 a)) 3)))) (+ (* 1/486 (/ (* a (* (pow b 3) (sqrt 27))) (* (sqrt 3) (pow (+ (* 1/9 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 a)) 2)))) (* 1/27 (/ (pow b 3) (+ (* 1/9 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 a))))))) c)) (* 2/243 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 27))) (pow (+ (* 1/9 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 a)) 2))))) c)) (* 1/27 (* (sqrt (/ (pow a 3) c)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 1/9 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 a)))))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/54 (* (sqrt (/ c (pow a 3))) (/ (* (sqrt -1) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (* (sqrt 27) (+ (* 1/9 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 a)))))) (+ (* -1/2187 (/ (* a (* (pow b 5) (sqrt 27))) (* (sqrt 3) (pow (+ (* 1/9 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 a)) 3)))) (* 2/9 (/ (* (pow b 2) (- (* 1/54 (* (sqrt (/ c (pow a 3))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (* (sqrt 27) (+ (* 1/9 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 a)))))) (+ (* -4/2187 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 4) (* (sqrt -1) (sqrt 27))) (pow (+ (* 1/9 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 a)) 3)))) (+ (* 1/486 (/ (* a (* (pow b 3) (sqrt 27))) (* (sqrt 3) (pow (+ (* 1/9 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 a)) 2)))) (* 1/27 (/ (pow b 3) (+ (* 1/9 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 a)))))))) (+ (* 1/9 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 a)))))) c)) (* 1/54 (* (sqrt (/ c (pow a 3))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (* (sqrt 27) (+ (* 1/9 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 a))))))) (+ (* -4/2187 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 4) (* (sqrt -1) (sqrt 27))) (pow (+ (* 1/9 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 a)) 3)))) (+ (* 1/486 (/ (* a (* (pow b 3) (sqrt 27))) (* (sqrt 3) (pow (+ (* 1/9 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 a)) 2)))) (* 1/27 (/ (pow b 3) (+ (* 1/9 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 a))))))) c)) (* 2/243 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 27))) (pow (+ (* 1/9 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 a)) 2))))) c)) (* 1/27 (* (sqrt (/ (pow a 3) c)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 1/9 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 1/3 a)))))))) |
(* -1/9 (* (sqrt (* a c)) (sqrt -27))) |
(+ (* -1/9 (* (sqrt (* a c)) (sqrt -27))) (* -1/27 (* b (* (sqrt -27) (sqrt -3))))) |
(+ (* -1/9 (* (sqrt (* a c)) (sqrt -27))) (* b (- (* b (- (* -1/18 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (sqrt -27)))) (+ (* 1/81 (* (sqrt (/ 1 (* a c))) (* (sqrt -27) (pow (sqrt -3) 2)))) (* 2/27 (* (sqrt (/ 1 (* a c))) (sqrt -27)))))) (* 1/27 (* (sqrt -27) (sqrt -3)))))) |
(+ (* -1/9 (* (sqrt (* a c)) (sqrt -27))) (* b (- (* b (- (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (sqrt -27)))) (* b (- (* 1/9 (/ 1 (* a c))) (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (- (* -1/18 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (sqrt -27)))) (+ (* 1/81 (* (sqrt (/ 1 (* a c))) (* (sqrt -27) (pow (sqrt -3) 2)))) (* 2/27 (* (sqrt (/ 1 (* a c))) (sqrt -27)))))))) (+ (* 1/54 (/ (sqrt -27) (* a (* c (sqrt -3))))) (* 2/81 (/ (* (sqrt -27) (sqrt -3)) (* a c)))))))) (+ (* 1/81 (* (sqrt (/ 1 (* a c))) (* (sqrt -27) (pow (sqrt -3) 2)))) (* 2/27 (* (sqrt (/ 1 (* a c))) (sqrt -27)))))) (* 1/27 (* (sqrt -27) (sqrt -3)))))) |
(* 1/18 (/ (+ (* -6 (* a c)) (* -3 (* a c))) b)) |
(/ (- (+ (* 1/18 (+ (* -6 (* a c)) (* -3 (* a c)))) (* 1/18 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 2)))) (* 1/6 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -1/3 (* a c)) (* -1/6 (* a c)))) (pow b 2)))) b) |
(/ (- (+ (* 1/18 (+ (* -6 (* a c)) (* -3 (* a c)))) (+ (* 1/18 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) (pow b 4))) (* 1/18 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 2))))) (+ (* -1/48 (/ (* (pow a 2) (* (pow c 2) (+ (* -6 (* a c)) (* -3 (* a c))))) (pow b 4))) (+ (* 1/6 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -1/3 (* a c)) (* -1/6 (* a c)))) (pow b 2))) (* 3 (/ (* (+ (* -1/3 (* a c)) (* -1/6 (* a c))) (- (* 1/18 (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))) (* 1/6 (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -1/3 (* a c)) (* -1/6 (* a c))))))) (pow b 4)))))) b) |
(/ (- (+ (* -1/18 (/ (+ (* 1/4 (pow (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) 2)) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))))))))) (pow b 6))) (+ (* 1/18 (+ (* -6 (* a c)) (* -3 (* a c)))) (+ (* 1/18 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) (pow b 4))) (* 1/18 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 2)))))) (+ (* -3/8 (/ (* (pow a 2) (* (pow c 2) (- (* 1/18 (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))) (* 1/6 (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -1/3 (* a c)) (* -1/6 (* a c)))))))) (pow b 6))) (+ (* -1/32 (/ (* (pow a 3) (* (pow c 3) (+ (* -6 (* a c)) (* -3 (* a c))))) (pow b 6))) (+ (* -1/48 (/ (* (pow a 2) (* (pow c 2) (+ (* -6 (* a c)) (* -3 (* a c))))) (pow b 4))) (+ (* 1/6 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -1/3 (* a c)) (* -1/6 (* a c)))) (pow b 2))) (+ (* 3 (/ (* (+ (* -1/3 (* a c)) (* -1/6 (* a c))) (- (* 1/18 (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))))))) (+ (* -1/48 (* (pow a 2) (* (pow c 2) (+ (* -6 (* a c)) (* -3 (* a c)))))) (* 3 (* (+ (* -1/3 (* a c)) (* -1/6 (* a c))) (- (* 1/18 (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))) (* 1/6 (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -1/3 (* a c)) (* -1/6 (* a c))))))))))) (pow b 6))) (* 3 (/ (* (+ (* -1/3 (* a c)) (* -1/6 (* a c))) (- (* 1/18 (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))) (* 1/6 (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -1/3 (* a c)) (* -1/6 (* a c))))))) (pow b 4))))))))) b) |
(* -2/3 b) |
(* -1 (* b (- (+ 2/3 (* 1/6 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2)))) (* 6 (/ (+ (* -1/3 (* a c)) (* 1/6 (* a c))) (pow b 2)))))) |
(* -1 (* b (- (+ 2/3 (+ (* 1/6 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2))) (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 4))))) (+ (* 3/4 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 6 (/ (+ (* -1/3 (* a c)) (* 1/6 (* a c))) (pow b 2))) (* 9 (/ (* (+ (* -1/3 (* a c)) (* 1/6 (* a c))) (- (* 1/6 (+ (* -6 (* a c)) (* -3 (* a c)))) (* 6 (+ (* -1/3 (* a c)) (* 1/6 (* a c)))))) (pow b 4)))))))) |
(* -1 (* b (- (+ 2/3 (+ (* 1/6 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2))) (+ (* 1/6 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) (pow b 6))) (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 4)))))) (+ (* 3/4 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 9/8 (/ (* (pow a 2) (* (pow c 2) (- (* 1/6 (+ (* -6 (* a c)) (* -3 (* a c)))) (* 6 (+ (* -1/3 (* a c)) (* 1/6 (* a c))))))) (pow b 6))) (+ (* 9/8 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* 6 (/ (+ (* -1/3 (* a c)) (* 1/6 (* a c))) (pow b 2))) (+ (* 9 (/ (* (+ (* -1/3 (* a c)) (* 1/6 (* a c))) (- (* 1/6 (+ (* -6 (* a c)) (* -3 (* a c)))) (* 6 (+ (* -1/3 (* a c)) (* 1/6 (* a c)))))) (pow b 4))) (* 9 (/ (* (+ (* -1/3 (* a c)) (* 1/6 (* a c))) (- (* 1/6 (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))) (+ (* 3/4 (* (pow a 2) (pow c 2))) (* 9 (* (+ (* -1/3 (* a c)) (* 1/6 (* a c))) (- (* 1/6 (+ (* -6 (* a c)) (* -3 (* a c)))) (* 6 (+ (* -1/3 (* a c)) (* 1/6 (* a c)))))))))) (pow b 6))))))))))) |
| Outputs |
|---|
(* 405/64 (/ (pow a 3) (pow b 7))) |
(*.f64 #s(literal 405/64 binary64) (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b #s(literal 7 binary64)))) |
(* 405/64 (/ (pow a 3) (pow b 7))) |
(*.f64 #s(literal 405/64 binary64) (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b #s(literal 7 binary64)))) |
(* 405/64 (/ (pow a 3) (pow b 7))) |
(*.f64 #s(literal 405/64 binary64) (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b #s(literal 7 binary64)))) |
(* 405/64 (/ (pow a 3) (pow b 7))) |
(*.f64 #s(literal 405/64 binary64) (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b #s(literal 7 binary64)))) |
(* 405/64 (/ (pow a 3) (pow b 7))) |
(*.f64 #s(literal 405/64 binary64) (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b #s(literal 7 binary64)))) |
(* 405/64 (/ (pow a 3) (pow b 7))) |
(*.f64 #s(literal 405/64 binary64) (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b #s(literal 7 binary64)))) |
(* 405/64 (/ (pow a 3) (pow b 7))) |
(*.f64 #s(literal 405/64 binary64) (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b #s(literal 7 binary64)))) |
(* 405/64 (/ (pow a 3) (pow b 7))) |
(*.f64 #s(literal 405/64 binary64) (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b #s(literal 7 binary64)))) |
(* 405/64 (/ (pow a 3) (pow b 7))) |
(*.f64 #s(literal 405/64 binary64) (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b #s(literal 7 binary64)))) |
(* 405/64 (/ (pow a 3) (pow b 7))) |
(*.f64 #s(literal 405/64 binary64) (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b #s(literal 7 binary64)))) |
(* 405/64 (/ (pow a 3) (pow b 7))) |
(*.f64 #s(literal 405/64 binary64) (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b #s(literal 7 binary64)))) |
(* 405/64 (/ (pow a 3) (pow b 7))) |
(*.f64 #s(literal 405/64 binary64) (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b #s(literal 7 binary64)))) |
(* 405/64 (/ (pow a 3) (pow b 7))) |
(*.f64 #s(literal 405/64 binary64) (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b #s(literal 7 binary64)))) |
(* 405/64 (/ (pow a 3) (pow b 7))) |
(*.f64 #s(literal 405/64 binary64) (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b #s(literal 7 binary64)))) |
(* 405/64 (/ (pow a 3) (pow b 7))) |
(*.f64 #s(literal 405/64 binary64) (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b #s(literal 7 binary64)))) |
(* 405/64 (/ (pow a 3) (pow b 7))) |
(*.f64 #s(literal 405/64 binary64) (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b #s(literal 7 binary64)))) |
(* 405/64 (/ (pow a 3) (pow b 7))) |
(*.f64 #s(literal 405/64 binary64) (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b #s(literal 7 binary64)))) |
(* 405/64 (/ (pow a 3) (pow b 7))) |
(*.f64 #s(literal 405/64 binary64) (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b #s(literal 7 binary64)))) |
(* 405/64 (/ (pow a 3) (pow b 7))) |
(*.f64 #s(literal 405/64 binary64) (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b #s(literal 7 binary64)))) |
(* 405/64 (/ (pow a 3) (pow b 7))) |
(*.f64 #s(literal 405/64 binary64) (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b #s(literal 7 binary64)))) |
(* 405/64 (/ (pow a 3) (pow b 7))) |
(*.f64 #s(literal 405/64 binary64) (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b #s(literal 7 binary64)))) |
(* 405/64 (/ (pow a 3) (pow b 7))) |
(*.f64 #s(literal 405/64 binary64) (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b #s(literal 7 binary64)))) |
(* 405/64 (/ (pow a 3) (pow b 7))) |
(*.f64 #s(literal 405/64 binary64) (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b #s(literal 7 binary64)))) |
(* 405/64 (/ (pow a 3) (pow b 7))) |
(*.f64 #s(literal 405/64 binary64) (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b #s(literal 7 binary64)))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) |
(+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5)))) |
(fma.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 (*.f64 a a) a) (/.f64 c (pow.f64 b #s(literal 7 binary64)))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) |
(+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5)))) |
(fma.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 (*.f64 a a) a) (/.f64 c (pow.f64 b #s(literal 7 binary64)))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) |
(+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5)))) |
(fma.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 (*.f64 a a) a) (/.f64 c (pow.f64 b #s(literal 7 binary64)))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 7))) |
(*.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 (*.f64 a a) a) (/.f64 c (pow.f64 b #s(literal 7 binary64))))) |
(* c (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c))))) |
(*.f64 c (fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b #s(literal 7 binary64))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 (pow.f64 b #s(literal 5 binary64)) c)))) |
(* c (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c))))) |
(*.f64 c (fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b #s(literal 7 binary64))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 (pow.f64 b #s(literal 5 binary64)) c)))) |
(* c (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c))))) |
(*.f64 c (fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b #s(literal 7 binary64))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 (pow.f64 b #s(literal 5 binary64)) c)))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 7))) |
(*.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 (*.f64 a a) a) (/.f64 c (pow.f64 b #s(literal 7 binary64))))) |
(* -1 (* c (+ (* 9/16 (/ (pow a 2) (* (pow b 5) c))) (* 135/128 (/ (pow a 3) (pow b 7)))))) |
(neg.f64 (*.f64 c (fma.f64 #s(literal 135/128 binary64) (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b #s(literal 7 binary64))) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (*.f64 (pow.f64 b #s(literal 5 binary64)) c))))) |
(* -1 (* c (+ (* 9/16 (/ (pow a 2) (* (pow b 5) c))) (* 135/128 (/ (pow a 3) (pow b 7)))))) |
(neg.f64 (*.f64 c (fma.f64 #s(literal 135/128 binary64) (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b #s(literal 7 binary64))) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (*.f64 (pow.f64 b #s(literal 5 binary64)) c))))) |
(* -1 (* c (+ (* 9/16 (/ (pow a 2) (* (pow b 5) c))) (* 135/128 (/ (pow a 3) (pow b 7)))))) |
(neg.f64 (*.f64 c (fma.f64 #s(literal 135/128 binary64) (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b #s(literal 7 binary64))) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (*.f64 (pow.f64 b #s(literal 5 binary64)) c))))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) |
(* (pow a 2) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(*.f64 (*.f64 a a) (-.f64 (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a c)) (pow.f64 b #s(literal 7 binary64))) (/.f64 #s(literal 9/16 binary64) (pow.f64 b #s(literal 5 binary64))))) |
(* (pow a 2) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(*.f64 (*.f64 a a) (-.f64 (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a c)) (pow.f64 b #s(literal 7 binary64))) (/.f64 #s(literal 9/16 binary64) (pow.f64 b #s(literal 5 binary64))))) |
(* (pow a 2) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(*.f64 (*.f64 a a) (-.f64 (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a c)) (pow.f64 b #s(literal 7 binary64))) (/.f64 #s(literal 9/16 binary64) (pow.f64 b #s(literal 5 binary64))))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 7))) |
(*.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 (*.f64 a a) a) (/.f64 c (pow.f64 b #s(literal 7 binary64))))) |
(* (pow a 3) (- (* -135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5)))))) |
(*.f64 (*.f64 (*.f64 a a) a) (-.f64 (*.f64 #s(literal -135/128 binary64) (/.f64 c (pow.f64 b #s(literal 7 binary64)))) (/.f64 #s(literal 9/16 binary64) (*.f64 a (pow.f64 b #s(literal 5 binary64)))))) |
(* (pow a 3) (- (* -135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5)))))) |
(*.f64 (*.f64 (*.f64 a a) a) (-.f64 (*.f64 #s(literal -135/128 binary64) (/.f64 c (pow.f64 b #s(literal 7 binary64)))) (/.f64 #s(literal 9/16 binary64) (*.f64 a (pow.f64 b #s(literal 5 binary64)))))) |
(* (pow a 3) (- (* -135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5)))))) |
(*.f64 (*.f64 (*.f64 a a) a) (-.f64 (*.f64 #s(literal -135/128 binary64) (/.f64 c (pow.f64 b #s(literal 7 binary64)))) (/.f64 #s(literal 9/16 binary64) (*.f64 a (pow.f64 b #s(literal 5 binary64)))))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 7))) |
(*.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 (*.f64 a a) a) (/.f64 c (pow.f64 b #s(literal 7 binary64))))) |
(* -1 (* (pow a 3) (+ (* 135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5))))))) |
(neg.f64 (*.f64 (*.f64 (*.f64 a a) a) (fma.f64 #s(literal 135/128 binary64) (/.f64 c (pow.f64 b #s(literal 7 binary64))) (/.f64 #s(literal 9/16 binary64) (*.f64 a (pow.f64 b #s(literal 5 binary64))))))) |
(* -1 (* (pow a 3) (+ (* 135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5))))))) |
(neg.f64 (*.f64 (*.f64 (*.f64 a a) a) (fma.f64 #s(literal 135/128 binary64) (/.f64 c (pow.f64 b #s(literal 7 binary64))) (/.f64 #s(literal 9/16 binary64) (*.f64 a (pow.f64 b #s(literal 5 binary64))))))) |
(* -1 (* (pow a 3) (+ (* 135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5))))))) |
(neg.f64 (*.f64 (*.f64 (*.f64 a a) a) (fma.f64 #s(literal 135/128 binary64) (/.f64 c (pow.f64 b #s(literal 7 binary64))) (/.f64 #s(literal 9/16 binary64) (*.f64 a (pow.f64 b #s(literal 5 binary64))))))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 7))) |
(*.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 (*.f64 a a) a) (/.f64 c (pow.f64 b #s(literal 7 binary64))))) |
(/ (+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2)))) (pow b 7)) |
(/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 b b) (*.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 (*.f64 a a) a) c))) (pow.f64 b #s(literal 7 binary64))) |
(/ (+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2)))) (pow b 7)) |
(/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 b b) (*.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 (*.f64 a a) a) c))) (pow.f64 b #s(literal 7 binary64))) |
(/ (+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2)))) (pow b 7)) |
(/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 b b) (*.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 (*.f64 a a) a) c))) (pow.f64 b #s(literal 7 binary64))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) |
(/ (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))) (pow b 5)) |
(/.f64 (fma.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 (*.f64 a a) a) (/.f64 c (*.f64 b b))) (*.f64 #s(literal -9/16 binary64) (*.f64 a a))) (pow.f64 b #s(literal 5 binary64))) |
(/ (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))) (pow b 5)) |
(/.f64 (fma.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 (*.f64 a a) a) (/.f64 c (*.f64 b b))) (*.f64 #s(literal -9/16 binary64) (*.f64 a a))) (pow.f64 b #s(literal 5 binary64))) |
(/ (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))) (pow b 5)) |
(/.f64 (fma.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 (*.f64 a a) a) (/.f64 c (*.f64 b b))) (*.f64 #s(literal -9/16 binary64) (*.f64 a a))) (pow.f64 b #s(literal 5 binary64))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) |
(* -1 (/ (+ (* 9/16 (pow a 2)) (* 135/128 (/ (* (pow a 3) c) (pow b 2)))) (pow b 5))) |
(neg.f64 (/.f64 (fma.f64 #s(literal 135/128 binary64) (*.f64 (*.f64 (*.f64 a a) a) (/.f64 c (*.f64 b b))) (*.f64 #s(literal 9/16 binary64) (*.f64 a a))) (pow.f64 b #s(literal 5 binary64)))) |
(* -1 (/ (+ (* 9/16 (pow a 2)) (* 135/128 (/ (* (pow a 3) c) (pow b 2)))) (pow b 5))) |
(neg.f64 (/.f64 (fma.f64 #s(literal 135/128 binary64) (*.f64 (*.f64 (*.f64 a a) a) (/.f64 c (*.f64 b b))) (*.f64 #s(literal 9/16 binary64) (*.f64 a a))) (pow.f64 b #s(literal 5 binary64)))) |
(* -1 (/ (+ (* 9/16 (pow a 2)) (* 135/128 (/ (* (pow a 3) c) (pow b 2)))) (pow b 5))) |
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(* 3 a) |
(*.f64 #s(literal 3 binary64) a) |
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 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) b)) (*.f64 #s(literal -3/2 binary64) (/.f64 c 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 #s(literal -27/16 binary64) (/.f64 (*.f64 a (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) b) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) |
(* 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c))) (/.f64 (*.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 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c))) (/.f64 (*.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 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 7 binary64)) (pow.f64 c #s(literal 5 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c))) (/.f64 (*.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 a c)) (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)))))) |
(neg.f64 (*.f64 a (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))) |
(* -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))))))) |
(neg.f64 (*.f64 a (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c)))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))))) |
(* -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 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c)))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 7 binary64)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (*.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 (*.f64 (*.f64 a a) a) c)))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (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 a a) (/.f64 c (*.f64 (*.f64 b b) b))) (*.f64 #s(literal -3/2 binary64) (/.f64 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 (*.f64 a a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) (*.f64 #s(literal -3/2 binary64) (/.f64 a b))) b) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(*.f64 c (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 (*.f64 c c) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (sqrt.f64 (/.f64 a c)) (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 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 (*.f64 c c) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (sqrt.f64 (/.f64 a c)) (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.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)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 (*.f64 c c) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64))))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (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)))))) |
(neg.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 (*.f64 c c) c))))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))) |
(* -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))))))) |
(neg.f64 (*.f64 c (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 (*.f64 c c) c))))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))))) |
(* -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)))))))) |
(neg.f64 (*.f64 c (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (/.f64 (*.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 a (*.f64 (*.f64 c c) c))))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))) |
(+ (* (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))))))) |
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)))) (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)))))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))) |
(+ (* (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))))))))) |
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64)))))) (/.f64 (*.f64 b b) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)))) (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64)))))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))) |
b |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(*.f64 b (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(*.f64 b (+.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b))))) #s(literal 1 binary64))) |
(* 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))))))) |
(*.f64 b (+.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c 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 #s(literal -3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b)))))) #s(literal 1 binary64))) |
(* -1 b) |
(neg.f64 b) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(*.f64 (neg.f64 b) (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(*.f64 (neg.f64 b) (+.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b))))) #s(literal 1 binary64))) |
(* -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)))))))) |
(*.f64 (neg.f64 b) (+.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c 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 #s(literal -3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b)))))) #s(literal 1 binary64))) |
(+ (* 1/9 (pow b 2)) (* 2/9 (pow b 2))) |
(*.f64 (*.f64 b b) #s(literal 1/3 binary64)) |
(+ (* 1/9 (pow b 2)) (+ (* 2/9 (pow b 2)) (* a (+ (* -1/3 c) (* -1/6 c))))) |
(fma.f64 (*.f64 b b) #s(literal 1/3 binary64) (*.f64 a (*.f64 c #s(literal -1/2 binary64)))) |
(+ (* 1/9 (pow b 2)) (+ (* 2/9 (pow b 2)) (* a (+ (* -1/3 c) (+ (* -1/6 c) (* -1/8 (/ (* a (pow c 2)) (pow b 2)))))))) |
(fma.f64 (*.f64 b b) #s(literal 1/3 binary64) (*.f64 a (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))))) |
(+ (* 1/9 (pow b 2)) (+ (* 2/9 (pow b 2)) (* a (+ (* -1/3 c) (+ (* -1/6 c) (* a (+ (* -3/16 (/ (* a (pow c 3)) (pow b 4))) (* -1/8 (/ (pow c 2) (pow b 2)))))))))) |
(fma.f64 (*.f64 b b) #s(literal 1/3 binary64) (*.f64 a (fma.f64 c #s(literal -1/2 binary64) (*.f64 a (fma.f64 #s(literal -3/16 binary64) (/.f64 (*.f64 a (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 b b))))))) |
(* a (+ (* -1/3 c) (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3)))))) |
(*.f64 a (fma.f64 #s(literal 1/9 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal -1/3 binary64) c))) |
(* a (+ (* -1/3 c) (+ (* 1/9 (* (sqrt (/ c a)) (* b (sqrt -3)))) (* 2/9 (/ (pow b 2) a))))) |
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(* 1/27 (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -27))) |
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(/ (- (+ (* 1/18 (+ (* -6 (* a c)) (* -3 (* a c)))) (+ (* 1/18 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) (pow b 4))) (* 1/18 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 2))))) (+ (* -1/48 (/ (* (pow a 2) (* (pow c 2) (+ (* -6 (* a c)) (* -3 (* a c))))) (pow b 4))) (+ (* 1/6 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -1/3 (* a c)) (* -1/6 (* a c)))) (pow b 2))) (* 3 (/ (* (+ (* -1/3 (* a c)) (* -1/6 (* a c))) (- (* 1/18 (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))) (* 1/6 (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -1/3 (* a c)) (* -1/6 (* a c))))))) (pow b 4)))))) b) |
(/.f64 (-.f64 (fma.f64 #s(literal 1/18 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (*.f64 (*.f64 a c) #s(literal -9 binary64)))))))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (*.f64 (*.f64 a c) #s(literal -9 binary64))))) (*.f64 b b))) (*.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64)))) (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (*.f64 (*.f64 a c) #s(literal -1/2 binary64))) (*.f64 b b)) (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 a c) #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/18 binary64) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (*.f64 (*.f64 a c) #s(literal -9 binary64))))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (*.f64 (*.f64 a c) #s(literal -1/2 binary64)))))) (pow.f64 b #s(literal 4 binary64)))))) b) |
(/ (- (+ (* -1/18 (/ (+ (* 1/4 (pow (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) 2)) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))))))))) (pow b 6))) (+ (* 1/18 (+ (* -6 (* a c)) (* -3 (* a c)))) (+ (* 1/18 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) (pow b 4))) (* 1/18 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 2)))))) (+ (* -3/8 (/ (* (pow a 2) (* (pow c 2) (- (* 1/18 (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))) (* 1/6 (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -1/3 (* a c)) (* -1/6 (* a c)))))))) (pow b 6))) (+ (* -1/32 (/ (* (pow a 3) (* (pow c 3) (+ (* -6 (* a c)) (* -3 (* a c))))) (pow b 6))) (+ (* -1/48 (/ (* (pow a 2) (* (pow c 2) (+ (* -6 (* a c)) (* -3 (* a c))))) (pow b 4))) (+ (* 1/6 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -1/3 (* a c)) (* -1/6 (* a c)))) (pow b 2))) (+ (* 3 (/ (* (+ (* -1/3 (* a c)) (* -1/6 (* a c))) (- (* 1/18 (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))))))) (+ (* -1/48 (* (pow a 2) (* (pow c 2) (+ (* -6 (* a c)) (* -3 (* a c)))))) (* 3 (* (+ (* -1/3 (* a c)) (* -1/6 (* a c))) (- (* 1/18 (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))) (* 1/6 (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -1/3 (* a c)) (* -1/6 (* a c))))))))))) (pow b 6))) (* 3 (/ (* (+ (* -1/3 (* a c)) (* -1/6 (* a c))) (- (* 1/18 (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))) (* 1/6 (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -1/3 (* a c)) (* -1/6 (* a c))))))) (pow b 4))))))))) b) |
(/.f64 (-.f64 (fma.f64 #s(literal -1/18 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (*.f64 (*.f64 a c) #s(literal -9 binary64)))))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (*.f64 (*.f64 a c) #s(literal -9 binary64))))) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (*.f64 (*.f64 a c) #s(literal -9 binary64)))))))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 1/18 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (*.f64 (*.f64 a c) #s(literal -9 binary64)))))))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (*.f64 (*.f64 a c) #s(literal -9 binary64))))) (*.f64 b b))) (*.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))))) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (fma.f64 #s(literal 1/18 binary64) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (*.f64 (*.f64 a c) #s(literal -9 binary64))))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (*.f64 (*.f64 a c) #s(literal -1/2 binary64)))))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (*.f64 (*.f64 a c) #s(literal -1/2 binary64))) (*.f64 b b)) (*.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 1/18 binary64) (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (*.f64 (*.f64 a c) #s(literal -9 binary64))))))))) (fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 a c) #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/18 binary64) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (*.f64 (*.f64 a c) #s(literal -9 binary64))))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (*.f64 (*.f64 a c) #s(literal -1/2 binary64))))) (*.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (*.f64 (*.f64 c c) (*.f64 (*.f64 a c) #s(literal -9 binary64)))))) (pow.f64 b #s(literal 6 binary64))) (*.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (*.f64 (*.f64 a c) #s(literal -9 binary64))))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (*.f64 (*.f64 a c) #s(literal -1/2 binary64))))) (pow.f64 b #s(literal 4 binary64))))))))))) b) |
(* -2/3 b) |
(*.f64 #s(literal -2/3 binary64) b) |
(* -1 (* b (- (+ 2/3 (* 1/6 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2)))) (* 6 (/ (+ (* -1/3 (* a c)) (* 1/6 (* a c))) (pow b 2)))))) |
(*.f64 (neg.f64 b) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (*.f64 b b)) #s(literal 2/3 binary64)) (/.f64 (*.f64 #s(literal 6 binary64) (*.f64 (*.f64 a c) #s(literal -1/6 binary64))) (*.f64 b b)))) |
(* -1 (* b (- (+ 2/3 (+ (* 1/6 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2))) (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 4))))) (+ (* 3/4 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 6 (/ (+ (* -1/3 (* a c)) (* 1/6 (* a c))) (pow b 2))) (* 9 (/ (* (+ (* -1/3 (* a c)) (* 1/6 (* a c))) (- (* 1/6 (+ (* -6 (* a c)) (* -3 (* a c)))) (* 6 (+ (* -1/3 (* a c)) (* 1/6 (* a c)))))) (pow b 4)))))))) |
(*.f64 (neg.f64 b) (-.f64 (fma.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (*.f64 b b)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (*.f64 (*.f64 a c) #s(literal -9 binary64))))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2/3 binary64)) (fma.f64 #s(literal 3/4 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal 9 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a c) #s(literal -1/6 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64)) (*.f64 #s(literal -6 binary64) (*.f64 (*.f64 a c) #s(literal -1/6 binary64))))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 6 binary64) (*.f64 (*.f64 a c) #s(literal -1/6 binary64))) (*.f64 b b)))))) |
(* -1 (* b (- (+ 2/3 (+ (* 1/6 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2))) (+ (* 1/6 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) (pow b 6))) (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 4)))))) (+ (* 3/4 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 9/8 (/ (* (pow a 2) (* (pow c 2) (- (* 1/6 (+ (* -6 (* a c)) (* -3 (* a c)))) (* 6 (+ (* -1/3 (* a c)) (* 1/6 (* a c))))))) (pow b 6))) (+ (* 9/8 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* 6 (/ (+ (* -1/3 (* a c)) (* 1/6 (* a c))) (pow b 2))) (+ (* 9 (/ (* (+ (* -1/3 (* a c)) (* 1/6 (* a c))) (- (* 1/6 (+ (* -6 (* a c)) (* -3 (* a c)))) (* 6 (+ (* -1/3 (* a c)) (* 1/6 (* a c)))))) (pow b 4))) (* 9 (/ (* (+ (* -1/3 (* a c)) (* 1/6 (* a c))) (- (* 1/6 (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))) (+ (* 3/4 (* (pow a 2) (pow c 2))) (* 9 (* (+ (* -1/3 (* a c)) (* 1/6 (* a c))) (- (* 1/6 (+ (* -6 (* a c)) (* -3 (* a c)))) (* 6 (+ (* -1/3 (* a c)) (* 1/6 (* a c)))))))))) (pow b 6))))))))))) |
(*.f64 (neg.f64 b) (-.f64 (+.f64 (fma.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (*.f64 (*.f64 a c) #s(literal -9 binary64)))))))) (pow.f64 b #s(literal 6 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (*.f64 (*.f64 a c) #s(literal -9 binary64))))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (*.f64 b b))) #s(literal 2/3 binary64)) (fma.f64 #s(literal 3/4 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal 9/8 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64)) (*.f64 #s(literal -6 binary64) (*.f64 (*.f64 a c) #s(literal -1/6 binary64)))))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 9/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (fma.f64 (*.f64 (*.f64 a c) #s(literal -1/6 binary64)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64)) (*.f64 #s(literal -6 binary64) (*.f64 (*.f64 a c) #s(literal -1/6 binary64)))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 a c) #s(literal -1/6 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (*.f64 (*.f64 a c) #s(literal -9 binary64)))))) (fma.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) #s(literal -1/6 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64)) (*.f64 #s(literal -6 binary64) (*.f64 (*.f64 a c) #s(literal -1/6 binary64)))) (*.f64 (*.f64 #s(literal 3/4 binary64) (*.f64 a a)) (*.f64 c c)))) (pow.f64 b #s(literal 6 binary64))))) (/.f64 (*.f64 #s(literal 6 binary64) (*.f64 (*.f64 a c) #s(literal -1/6 binary64))) (*.f64 b b)))))))) |
| 4 918× | lower-*.f32 |
| 4 870× | lower-*.f64 |
| 4 132× | lower-fma.f32 |
| 4 118× | lower-fma.f64 |
| 2 906× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 86 | 533 |
| 0 | 143 | 509 |
| 1 | 565 | 415 |
| 2 | 4728 | 405 |
| 0 | 8594 | 405 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) |
#s(approx (/ (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) a) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)))) (/.f64 #s(literal -1/2 binary64) b)))) |
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)))) (/.f64 #s(literal -1/2 binary64) b))) |
(/.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 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b)) |
(fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) |
(fma.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (*.f64 #s(literal -3 binary64) a) b)) |
(/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (*.f64 #s(literal -3 binary64) a) b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) |
(*.f64 #s(literal 3 binary64) a) |
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) |
(fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)))) |
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 b b) b))) (fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))))) a) |
(-.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 b b) b))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) |
(/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) |
(/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(*.f64 (/.f64 c (*.f64 b b)) c) |
(*.f64 (*.f64 #s(literal -3 binary64) a) b) |
(*.f64 #s(literal 9 binary64) (*.f64 a a)) |
(*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 b b) b)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 b b) b))) (fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 405/64 binary64) a) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) b)) |
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) b) (/.f64 #s(literal 405/64 binary64) a)) |
(*.f64 (/.f64 #s(literal 405/64 binary64) (*.f64 b a)) (/.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) |
(*.f64 (*.f64 #s(literal 405/64 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (*.f64 #s(literal -405/64 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))) |
(*.f64 (/.f64 #s(literal 405/64 binary64) b) (/.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (/.f64 #s(literal 405/64 binary64) b)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 b a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))) |
(*.f64 (*.f64 #s(literal -405/64 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) b))) |
(*.f64 (*.f64 #s(literal -405/64 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 #s(literal 405/64 binary64) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (*.f64 b a))) |
(*.f64 #s(literal 405/64 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 b a)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (/.f64 #s(literal 405/64 binary64) (*.f64 b a))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (/.f64 #s(literal 405/64 binary64) (*.f64 b a)))) |
(pow.f64 (/.f64 b (*.f64 #s(literal 405/64 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (/.f64 (*.f64 b a) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (*.f64 b a) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (/.f64 #s(literal 405/64 binary64) b)) a) |
(/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 a a) a) a)) (/.f64 #s(literal 405/64 binary64) (*.f64 b a))) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 405/64 binary64) (*.f64 b a))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 a a) a) a))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (/.f64 #s(literal 405/64 binary64) (*.f64 b a))) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) #s(literal 405/64 binary64)) b) |
(/.f64 (*.f64 (*.f64 #s(literal -405/64 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) #s(literal 1 binary64)) (*.f64 b a)) |
(/.f64 (/.f64 (*.f64 #s(literal -405/64 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) b) a) |
(/.f64 (neg.f64 (*.f64 #s(literal 405/64 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))))) (neg.f64 b)) |
(/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 b a))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal 405/64 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 b a))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))) b) |
(/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 b a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) |
(/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 b a))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 b a) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal 405/64 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 b a) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 b a) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) |
(/.f64 (*.f64 #s(literal -405/64 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (neg.f64 (*.f64 (neg.f64 a) b))) |
(/.f64 (*.f64 #s(literal -405/64 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (*.f64 (neg.f64 a) b)) |
(/.f64 (*.f64 #s(literal -405/64 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (*.f64 b a)) |
(/.f64 #s(literal 405/64 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 a a) a) a)) (*.f64 b a))) |
(neg.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 b a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 b a) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 (*.f64 c (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 b a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))) (*.f64 c (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 b a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))))) #s(literal 1/36 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 a a) #s(literal -9/16 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 b a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))) c (*.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))))))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 c (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 b a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))) #s(literal 3 binary64)) #s(literal -1/216 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 a a) #s(literal -9/16 binary64))) (*.f64 (*.f64 a a) #s(literal -9/16 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 c (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 b a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))) (*.f64 c (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 b a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))))) #s(literal 1/36 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (-.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c #s(literal -1/6 binary64)) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 b a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))))))))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 b a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))) c (*.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))))) (fma.f64 (*.f64 (*.f64 c (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 b a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))) (*.f64 c (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 b a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))))) #s(literal 1/36 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 a a) #s(literal -9/16 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 c (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 b a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))) (*.f64 c (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 b a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))))) #s(literal 1/36 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (-.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c #s(literal -1/6 binary64)) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 b a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))))))) (fma.f64 (pow.f64 (*.f64 c (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 b a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))) #s(literal 3 binary64)) #s(literal -1/216 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 a a) #s(literal -9/16 binary64))) (*.f64 (*.f64 a a) #s(literal -9/16 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)))))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 a a) #s(literal -9/16 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)))) (*.f64 (*.f64 (*.f64 c (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 b a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))) (*.f64 c (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 b a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))))) #s(literal 1/36 binary64))) (-.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c #s(literal -1/6 binary64)) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 b a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 c (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 b a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))) (*.f64 c (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 b a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))))) #s(literal 1/36 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 a a) #s(literal -9/16 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))))))) (neg.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 b a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))) c (*.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))))))) |
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(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64)))) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal -1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))) |
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/27 binary64) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (fma.f64 (*.f64 b #s(literal 1/9 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) (*.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))) (neg.f64 (/.f64 (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 b b) b)) (fma.f64 (*.f64 b #s(literal 1/9 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) (*.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))))) |
(+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal -1/3 binary64) b)) |
Compiled 84 141 to 5 548 computations (93.4% saved)
89 alts after pruning (81 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 513 | 38 | 1 551 |
| Fresh | 24 | 43 | 67 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1 540 | 89 | 1 629 |
| Status | Accuracy | Program |
|---|---|---|
| 32.4% | (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a) #s(literal 1/3 binary64) (/.f64 b (*.f64 #s(literal -3 binary64) a))) | |
| 32.7% | (fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (/.f64 b (*.f64 #s(literal -3 binary64) a))) | |
| 31.5% | (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a) (neg.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) b) a))) | |
| 31.9% | (fma.f64 (neg.f64 b) (/.f64 #s(literal 1/3 binary64) a) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) | |
| 29.6% | (fma.f64 #s(literal 3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal 9 binary64))) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (neg.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) b) a))) | |
| 31.4% | (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (/.f64 b a) #s(literal 3 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) #s(literal 3 binary64))) | |
| 31.5% | (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) a (*.f64 (*.f64 #s(literal -3 binary64) a) b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) | |
| 31.2% | (/.f64 (fma.f64 (*.f64 b a) #s(literal -3 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a))) (*.f64 #s(literal 9 binary64) (*.f64 a a))) | |
| 31.4% | (/.f64 (fma.f64 (*.f64 b #s(literal -3 binary64)) a (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a))) (*.f64 #s(literal 9 binary64) (*.f64 a a))) | |
| ✓ | 31.7% | (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (*.f64 #s(literal -3 binary64) a) b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) |
| 31.9% | (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) b (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a))) (*.f64 #s(literal 9 binary64) (*.f64 a a))) | |
| 31.2% | (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) b)) (*.f64 #s(literal 9 binary64) a)) | |
| 31.3% | (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) b)) a) | |
| 32.3% | (/.f64 (fma.f64 b #s(literal -1/3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))) a) | |
| 32.4% | (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) (*.f64 #s(literal 1/27 binary64) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 b b) b))) (fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))))) a) | |
| 32.5% | (/.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal 1/27 binary64) (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 b b) b))) (fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))))) a) | |
| 32.6% | (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/27 binary64) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 b b) b))) (fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))))) a) | |
| 32.5% | (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/27 binary64) b) (*.f64 b b) (*.f64 (*.f64 #s(literal 1/27 binary64) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))) (fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))))) a) | |
| 29.8% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal -3 binary64)) (*.f64 #s(literal 3 binary64) (neg.f64 b))) #s(literal -9 binary64)) a) | |
| 30.8% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 27 binary64))) (fma.f64 (/.f64 b (*.f64 #s(literal 3 binary64) a)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))))) | |
| 29.9% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 c a)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 (*.f64 b b) b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) | |
| 30.2% | (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/9 binary64) (*.f64 b b)))) (fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))))) a) | |
| 31.3% | (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 b b)) b)) (fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))))) a) | |
| 30.6% | (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 b b) b))) (fma.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) (*.f64 b #s(literal 1/9 binary64)) (*.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))) a) | |
| 28.4% | (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 b b) b))) (fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (/.f64 (*.f64 (*.f64 b #s(literal 1/9 binary64)) (-.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b b))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b)))) a) | |
| 30.3% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) a) #s(literal 3 binary64)) | |
| 94.9% | (/.f64 (/.f64 #s(approx (- (* 1/27 (* (sqrt (+ (* (* a c) -3) (* b b))) (+ (* (* a c) -3) (* b b)))) (* 1/27 (* (* b b) b))) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/54 binary64) (*.f64 c (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal -9 binary64)) (/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) a) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal -9 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 b b)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal -9 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 6 binary64))))) (pow.f64 b #s(literal 6 binary64)))))) (pow.f64 b #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 b b)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal -9 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 6 binary64))))) #s(literal 2 binary64)) (pow.f64 b #s(literal 6 binary64))))) (*.f64 (*.f64 b b) b))) (*.f64 #s(literal 1/54 binary64) (/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) a) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal -9 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 b b)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal -9 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 6 binary64))))) (pow.f64 b #s(literal 6 binary64)))))) (*.f64 (*.f64 b b) b)))) (*.f64 #s(literal 1/54 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 b b)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal -9 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 6 binary64))))) (*.f64 (*.f64 b b) b)))) (/.f64 (*.f64 #s(literal 1/54 binary64) (*.f64 (*.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal -9 binary64))) (*.f64 (*.f64 b b) b))))) (fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))))) a) | |
| 95.1% | (/.f64 (/.f64 #s(approx (- (* 1/27 (* (sqrt (+ (* (* a c) -3) (* b b))) (+ (* (* a c) -3) (* b b)))) (* 1/27 (* (* b b) b))) (*.f64 b (fma.f64 #s(literal -1/54 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (*.f64 (*.f64 a c) #s(literal -9 binary64)))))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (*.f64 (*.f64 a c) #s(literal -9 binary64))))) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (*.f64 (*.f64 a c) #s(literal -9 binary64)))))))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 1/54 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (*.f64 (*.f64 a c) #s(literal -9 binary64)))))))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (*.f64 (*.f64 a c) #s(literal -9 binary64))))) (*.f64 b b))) (*.f64 #s(literal 1/54 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))))))) (fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))))) a) | |
| 94.9% | (/.f64 (/.f64 #s(approx (- (* 1/27 (* (sqrt (+ (* (* a c) -3) (* b b))) (+ (* (* a c) -3) (* b b)))) (* 1/27 (* (* b b) b))) (*.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/54 binary64) (*.f64 a (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) c) #s(literal -9 binary64)) (/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 c c) c) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) c) #s(literal -9 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) c) #s(literal -9 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 6 binary64))))) (pow.f64 b #s(literal 6 binary64)))))) (pow.f64 b #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) c) #s(literal -9 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 6 binary64))))) #s(literal 2 binary64)) (pow.f64 b #s(literal 6 binary64))))) (*.f64 (*.f64 b b) b))) (*.f64 #s(literal 1/54 binary64) (/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 c c) c) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) c) #s(literal -9 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) c) #s(literal -9 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 6 binary64))))) (pow.f64 b #s(literal 6 binary64)))))) (*.f64 (*.f64 b b) b)))) (*.f64 #s(literal 1/54 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) c) #s(literal -9 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 6 binary64))))) (*.f64 (*.f64 b b) b)))) (/.f64 (*.f64 #s(literal 1/54 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) c) #s(literal -9 binary64))) (*.f64 (*.f64 b b) b))))) (fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))))) a) | |
| 30.3% | (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64)))) | |
| 29.5% | (/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) (*.f64 b #s(literal 1/3 binary64))) a) | |
| 30.1% | (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a) (/.f64 (*.f64 #s(literal 3 binary64) a) b)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 #s(literal 3 binary64) a) b))) | |
| 29.5% | (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 b a))) #s(literal 9 binary64)) | |
| 29.7% | (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (/.f64 (*.f64 #s(literal 3 binary64) a) b)) (*.f64 (*.f64 #s(literal 3 binary64) a) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 (*.f64 #s(literal 3 binary64) a) b))) | |
| 31.2% | (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))))) | |
| 29.8% | (/.f64 (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 a #s(literal 9 binary64)) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) (*.f64 (/.f64 (*.f64 a #s(literal 9 binary64)) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 b (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a))))) (*.f64 (/.f64 (*.f64 a #s(literal 9 binary64)) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (/.f64 (*.f64 a #s(literal 9 binary64)) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))))) | |
| 30.2% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) b)) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))) | |
| 30.0% | (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/3 binary64) b)) a) | |
| 30.6% | (/.f64 (-.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 b b) b))) (*.f64 a (fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)))))) | |
| 30.3% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) | |
| 29.8% | (/.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a)) (neg.f64 (/.f64 b a))) #s(literal -3 binary64)) | |
| 31.6% | (/.f64 (-.f64 #s(literal 27 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 27 binary64)) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))))) (*.f64 (/.f64 (*.f64 a #s(literal 9 binary64)) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 b (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a))) (fma.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 b (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a)) #s(literal 3 binary64)) #s(literal 9 binary64)))) | |
| 30.3% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| 30.2% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| 31.2% | (/.f64 (*.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) b)) #s(literal 1/9 binary64)) a) | |
| 30.3% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64)) | |
| 31.1% | (/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))) | |
| 30.5% | (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (*.f64 #s(literal 1/9 binary64) (*.f64 b b))) (/.f64 #s(literal 1 binary64) a)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64))) | |
| 30.3% | (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64)) a) | |
| 31.6% | (/.f64 (*.f64 (-.f64 #s(literal 27 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 27 binary64)) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal 9 binary64))) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 b (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a))) (fma.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 b (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a)) #s(literal 3 binary64)) #s(literal 9 binary64))) | |
| 81.8% | (/.f64 #s(approx (/ (- (* 1/27 (* (sqrt (+ (* (* a c) -3) (* b b))) (+ (* (* a c) -3) (* b b)))) (* 1/27 (* (* b b) b))) (+ (* 1/9 (+ (* (* a c) -3) (* b b))) (* (* 1/3 b) (* 1/3 (+ (sqrt (+ (* (* a c) -3) (* b b))) b))))) (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) b))) a) | |
| 82.2% | (/.f64 #s(approx (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c b)))) a) | |
| 81.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 30.3% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| 30.3% | (/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a)) | |
| ✓ | 29.7% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
| 29.2% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (*.f64 (/.f64 b a) #s(literal 1/3 binary64))) | |
| 30.8% | (*.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 b (*.f64 #s(literal 3 binary64) a)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 #s(literal 9 binary64) (*.f64 a a)))))) | |
| 30.3% | (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) | |
| 30.2% | (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 b (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a)))) (*.f64 a #s(literal 9 binary64))) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) | |
| 28.5% | (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (+.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) | |
| 30.3% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b)) | |
| 30.2% | (*.f64 (*.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 b (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a))) #s(literal 1/3 binary64)) | |
| ✓ | 30.3% | (*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
| 94.6% | (*.f64 #s(approx (neg (- (sqrt (+ (* (* a c) -3) (* b b))) b)) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal 1/2 binary64) (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) (*.f64 #s(literal 27/16 binary64) (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b #s(literal 5 binary64))))) (*.f64 #s(literal 9/8 binary64) (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)))) (*.f64 #s(literal 3/2 binary64) (/.f64 a b))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) | |
| 81.8% | (*.f64 #s(approx (neg (- (sqrt (+ (* (* a c) -3) (* b b))) b)) (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) | |
| 81.8% | #s(approx (/ (/ (- (* 1/27 (* (sqrt (+ (* (* a c) -3) (* b b))) (+ (* (* a c) -3) (* b b)))) (* 1/27 (* (* b b) b))) (+ (* 1/9 (+ (* (* a c) -3) (* b b))) (* (* 1/3 b) (* 1/3 (+ (sqrt (+ (* (* a c) -3) (* b b))) b))))) a) (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (*.f64 a b))) | |
| 91.0% | #s(approx (/ (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) a) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) b)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) | |
| 95.1% | #s(approx (/ (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) a) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 b a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (*.f64 c #s(literal -1/6 binary64)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)))) (/.f64 #s(literal -1/2 binary64) b)))) | |
| 95.3% | #s(approx (/ (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) a) #s(approx (* c (+ (* c (+ (* c (+ (* -1/6 (* c (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a b)))) (/ (* -9/16 (* a a)) (pow b 5)))) (* -3/8 (/ a (* (* b b) b))))) (/ -1/2 b))) (neg.f64 (/.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (fma.f64 #s(literal 1/2 binary64) c (fma.f64 #s(literal 135/128 binary64) (*.f64 (*.f64 (*.f64 a a) a) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal 4 binary64))))))) b)))) | |
| ✓ | 95.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
| 92.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) a (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64))) #s(literal -1/2 binary64)))) | |
| 93.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (/ c (* (* (* b b) b) (* b b))) (* (* -9/16 c) c)) (* (* a -1/6) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b)))))) a) (/ (* -3/8 (* c c)) (* (* b b) b))) (/.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 c c) (/.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) a) (*.f64 (*.f64 c c) c)) (*.f64 b b))) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| ✓ | 91.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b)) |
| 82.0% | #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))) | |
| 90.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) c)) (*.f64 c c))) b)) | |
| 91.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b)) | |
| ✓ | 82.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
| 81.9% | #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))) | |
| 93.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (fma.f64 (*.f64 a (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| ✓ | 82.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
| 93.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 a #s(literal -3/8 binary64)) c (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) b) b (*.f64 (*.f64 (*.f64 (*.f64 a c) a) #s(literal -9/16 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c)) | |
| 90.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) b)) c)) | |
| 93.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 (*.f64 b b) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) (*.f64 #s(literal -3/8 binary64) (*.f64 a c))))) (pow.f64 b #s(literal 5 binary64)))) c)) | |
| ✓ | 82.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
| 90.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (* (* (/ c (* b b)) c) -3/8) a) (* -1/2 c)) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) b))) | |
| 90.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (* (* (/ c (* b b)) c) -3/8) a) (* -1/2 c)) (*.f64 a (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) (/.f64 c a))))) (/.f64 #s(literal 1 binary64) b))) | |
| 90.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) c) #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b)))) | |
| 90.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a))) |
Compiled 8 874 to 2 437 computations (72.5% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#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 (/ (/ (- (* 1/27 (* (sqrt (+ (* (* a c) -3) (* b b))) (+ (* (* a c) -3) (* b b)))) (* 1/27 (* (* b b) b))) (+ (* 1/9 (+ (* (* a c) -3) (* b b))) (* (* 1/3 b) (* 1/3 (+ (sqrt (+ (* (* a c) -3) (* b b))) b))))) a) (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (*.f64 a b))) |
(/.f64 #s(approx (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c b)))) a) |
#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))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* 1/27 (* (sqrt (+ (* (* a c) -3) (* b b))) (+ (* (* a c) -3) (* b b)))) (* 1/27 (* (* b b) b))) (+ (* 1/9 (+ (* (* a c) -3) (* b b))) (* (* 1/3 b) (* 1/3 (+ (sqrt (+ (* (* a c) -3) (* b b))) b))))) (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) b))) a) |
(*.f64 #s(approx (neg (- (sqrt (+ (* (* a c) -3) (* b b))) b)) (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (* (* (/ c (* b b)) c) -3/8) a) (* -1/2 c)) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) a) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 (*.f64 b b) b))) (/.f64 #s(literal -1/2 binary64) b)))) |
(/.f64 (fma.f64 b #s(literal -1/3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) a) |
(/.f64 (fma.f64 b #s(literal -1/3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))) a) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 1/3 binary64) (*.f64 b #s(literal -1/3 binary64))) a) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) b)) a) |
(/.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 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/3 binary64) b)) a) |
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/3 binary64) b)) a) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c 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 (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) c) #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b)))) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 b c))) (*.f64 c c)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 (*.f64 b b) b))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) a) (fma.f64 #s(literal -1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b b) b)))) |
#s(approx (/ (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) a) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) b)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(/.f64 (*.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) b)) #s(literal 1/9 binary64)) a) |
(/.f64 (*.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) b)) #s(literal 1/9 binary64)) a) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) b)) (*.f64 a #s(literal 9 binary64))) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) b)) (*.f64 #s(literal 9 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) c)) (*.f64 c c))) b)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64)) |
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) (*.f64 b #s(literal 1/3 binary64))) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a))) |
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(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 a a) (/.f64 a (pow.f64 b #s(literal 5 binary64)))) #s(literal -27/16 binary64))) c (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 #s(approx (neg (- (sqrt (+ (* (* a c) -3) (* b b))) b)) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal 1/2 binary64) (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) (*.f64 #s(literal 27/16 binary64) (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b #s(literal 5 binary64))))) (*.f64 #s(literal 9/8 binary64) (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)))) (*.f64 #s(literal 3/2 binary64) (/.f64 a b))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) a) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (*.f64 b b))) (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))))) b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) a (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64))) #s(literal -1/2 binary64)))) |
(/.f64 (/.f64 #s(approx (- (* 1/27 (* (sqrt (+ (* (* a c) -3) (* b b))) (+ (* (* a c) -3) (* b b)))) (* 1/27 (* (* b b) b))) (*.f64 b (fma.f64 #s(literal -1/54 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (*.f64 (*.f64 a c) #s(literal -9 binary64)))))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (*.f64 (*.f64 a c) #s(literal -9 binary64))))) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (*.f64 (*.f64 a c) #s(literal -9 binary64)))))))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 1/54 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (*.f64 (*.f64 a c) #s(literal -9 binary64)))))))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (*.f64 (*.f64 a c) #s(literal -9 binary64))))) (*.f64 b b))) (*.f64 #s(literal 1/54 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))))))) (fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))))) a) |
(/.f64 (/.f64 #s(approx (- (* 1/27 (* (sqrt (+ (* (* a c) -3) (* b b))) (+ (* (* a c) -3) (* b b)))) (* 1/27 (* (* b b) b))) (*.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/54 binary64) (*.f64 a (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) c) #s(literal -9 binary64)) (/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 c c) c) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) c) #s(literal -9 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) c) #s(literal -9 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 6 binary64))))) (pow.f64 b #s(literal 6 binary64)))))) (pow.f64 b #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) c) #s(literal -9 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 6 binary64))))) #s(literal 2 binary64)) (pow.f64 b #s(literal 6 binary64))))) (*.f64 (*.f64 b b) b))) (*.f64 #s(literal 1/54 binary64) (/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 c c) c) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) c) #s(literal -9 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) c) #s(literal -9 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 6 binary64))))) (pow.f64 b #s(literal 6 binary64)))))) (*.f64 (*.f64 b b) b)))) (*.f64 #s(literal 1/54 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) c) #s(literal -9 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 6 binary64))))) (*.f64 (*.f64 b b) b)))) (/.f64 (*.f64 #s(literal 1/54 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) c) #s(literal -9 binary64))) (*.f64 (*.f64 b b) b))))) (fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))))) a) |
(/.f64 (/.f64 #s(approx (- (* 1/27 (* (sqrt (+ (* (* a c) -3) (* b b))) (+ (* (* a c) -3) (* b b)))) (* 1/27 (* (* b b) b))) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/54 binary64) (*.f64 c (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal -9 binary64)) (/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) a) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal -9 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 b b)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal -9 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 6 binary64))))) (pow.f64 b #s(literal 6 binary64)))))) (pow.f64 b #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 b b)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal -9 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 6 binary64))))) #s(literal 2 binary64)) (pow.f64 b #s(literal 6 binary64))))) (*.f64 (*.f64 b b) b))) (*.f64 #s(literal 1/54 binary64) (/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) a) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal -9 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 b b)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal -9 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 6 binary64))))) (pow.f64 b #s(literal 6 binary64)))))) (*.f64 (*.f64 b b) b)))) (*.f64 #s(literal 1/54 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 b b)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal -9 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 6 binary64))))) (*.f64 (*.f64 b b) b)))) (/.f64 (*.f64 #s(literal 1/54 binary64) (*.f64 (*.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal -9 binary64))) (*.f64 (*.f64 b b) b))))) (fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))))) a) |
| Outputs |
|---|
#s(approx (/ (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) a) #s(approx (* c (+ (* c (+ (* c (+ (* -1/6 (* c (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a b)))) (/ (* -9/16 (* a a)) (pow b 5)))) (* -3/8 (/ a (* (* b b) b))))) (/ -1/2 b))) (neg.f64 (/.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (fma.f64 #s(literal 1/2 binary64) c (fma.f64 #s(literal 135/128 binary64) (*.f64 (*.f64 (*.f64 a a) a) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal 4 binary64))))))) b)))) |
5 calls:
| 49.0ms | a |
| 48.0ms | c |
| 42.0ms | (*.f64 #s(literal 3 binary64) a) |
| 42.0ms | b |
| 41.0ms | (/.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 |
|---|---|---|
| 95.3% | 1 | a |
| 95.3% | 1 | b |
| 95.3% | 1 | c |
| 95.3% | 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)) |
| 95.3% | 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(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#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 (/ (/ (- (* 1/27 (* (sqrt (+ (* (* a c) -3) (* b b))) (+ (* (* a c) -3) (* b b)))) (* 1/27 (* (* b b) b))) (+ (* 1/9 (+ (* (* a c) -3) (* b b))) (* (* 1/3 b) (* 1/3 (+ (sqrt (+ (* (* a c) -3) (* b b))) b))))) a) (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (*.f64 a b))) |
(/.f64 #s(approx (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c b)))) a) |
#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))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* 1/27 (* (sqrt (+ (* (* a c) -3) (* b b))) (+ (* (* a c) -3) (* b b)))) (* 1/27 (* (* b b) b))) (+ (* 1/9 (+ (* (* a c) -3) (* b b))) (* (* 1/3 b) (* 1/3 (+ (sqrt (+ (* (* a c) -3) (* b b))) b))))) (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) b))) a) |
(*.f64 #s(approx (neg (- (sqrt (+ (* (* a c) -3) (* b b))) b)) (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (* (* (/ c (* b b)) c) -3/8) a) (* -1/2 c)) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) a) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 (*.f64 b b) b))) (/.f64 #s(literal -1/2 binary64) b)))) |
(/.f64 (fma.f64 b #s(literal -1/3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) a) |
(/.f64 (fma.f64 b #s(literal -1/3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))) a) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 1/3 binary64) (*.f64 b #s(literal -1/3 binary64))) a) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) b)) a) |
(/.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 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/3 binary64) b)) a) |
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/3 binary64) b)) a) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) a) #s(literal 3 binary64)) |
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(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
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(/.f64 (*.f64 (-.f64 #s(literal 27 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 27 binary64)) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 b (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a))) (fma.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 b (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a)) #s(literal 3 binary64)) #s(literal 9 binary64)))) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) #s(literal 3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) c) (/.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 a b)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) a) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)))) (/.f64 #s(literal -1/2 binary64) b)))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
5 calls:
| 48.0ms | (*.f64 #s(literal 3 binary64) a) |
| 43.0ms | b |
| 43.0ms | a |
| 40.0ms | (/.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)) |
| 39.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.3% | 1 | a |
| 95.3% | 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)) |
| 95.3% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 95.3% | 1 | b |
| 95.3% | 1 | c |
Compiled 38 to 26 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#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 (/ (/ (- (* 1/27 (* (sqrt (+ (* (* a c) -3) (* b b))) (+ (* (* a c) -3) (* b b)))) (* 1/27 (* (* b b) b))) (+ (* 1/9 (+ (* (* a c) -3) (* b b))) (* (* 1/3 b) (* 1/3 (+ (sqrt (+ (* (* a c) -3) (* b b))) b))))) a) (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (*.f64 a b))) |
(/.f64 #s(approx (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c b)))) a) |
#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))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* 1/27 (* (sqrt (+ (* (* a c) -3) (* b b))) (+ (* (* a c) -3) (* b b)))) (* 1/27 (* (* b b) b))) (+ (* 1/9 (+ (* (* a c) -3) (* b b))) (* (* 1/3 b) (* 1/3 (+ (sqrt (+ (* (* a c) -3) (* b b))) b))))) (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) b))) a) |
(*.f64 #s(approx (neg (- (sqrt (+ (* (* a c) -3) (* b b))) b)) (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (* (* (/ c (* b b)) c) -3/8) a) (* -1/2 c)) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) a) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 (*.f64 b b) b))) (/.f64 #s(literal -1/2 binary64) b)))) |
(/.f64 (fma.f64 b #s(literal -1/3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) a) |
(/.f64 (fma.f64 b #s(literal -1/3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))) a) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 1/3 binary64) (*.f64 b #s(literal -1/3 binary64))) a) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) b)) a) |
(/.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 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/3 binary64) b)) a) |
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/3 binary64) b)) a) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c 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 (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) c) #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b)))) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 b c))) (*.f64 c c)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 (*.f64 b b) b))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) a) (fma.f64 #s(literal -1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b b) b)))) |
#s(approx (/ (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) a) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) b)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(/.f64 (*.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) b)) #s(literal 1/9 binary64)) a) |
(/.f64 (*.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) b)) #s(literal 1/9 binary64)) a) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) b)) (*.f64 a #s(literal 9 binary64))) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) b)) (*.f64 #s(literal 9 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) c)) (*.f64 c c))) b)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64)) |
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) (*.f64 b #s(literal 1/3 binary64))) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a)) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (/.f64 b (*.f64 #s(literal -3 binary64) a))) |
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a) #s(literal 1/3 binary64) (/.f64 b (*.f64 #s(literal -3 binary64) a))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (*.f64 (/.f64 b a) #s(literal 1/3 binary64))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/3 binary64) a) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) |
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a) (neg.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) b) a))) |
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a) (neg.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) b) a))) |
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) (/.f64 b #s(literal 3 binary64))) a) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal -3 binary64)) (*.f64 #s(literal 3 binary64) (neg.f64 b))) #s(literal -9 binary64)) a) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal -3 binary64)) (*.f64 #s(literal 3 binary64) (neg.f64 b))) #s(literal -9 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (* (* (/ c (* b b)) c) -3/8) a) (* -1/2 c)) (*.f64 a (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) (/.f64 c a))))) (/.f64 #s(literal 1 binary64) b))) |
(/.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a)) (neg.f64 (/.f64 b a))) #s(literal -3 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) b (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a))) (*.f64 #s(literal 9 binary64) (*.f64 a a))) |
(/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (*.f64 #s(literal -3 binary64) a) b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) |
(/.f64 (fma.f64 (*.f64 b #s(literal -3 binary64)) a (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a))) (*.f64 #s(literal 9 binary64) (*.f64 a a))) |
(/.f64 (fma.f64 (*.f64 b a) #s(literal -3 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a))) (*.f64 #s(literal 9 binary64) (*.f64 a a))) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) a (*.f64 (*.f64 #s(literal -3 binary64) a) b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) |
(fma.f64 #s(literal 3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal 9 binary64))) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (neg.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) b) a))) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 b a))) #s(literal 9 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 c (/.f64 c (*.f64 (*.f64 b b) b))) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal -3 binary64) a)) (*.f64 (*.f64 #s(literal -3 binary64) a) (neg.f64 b))) (*.f64 #s(literal 9 binary64) (*.f64 a a))) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))))) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a) (*.f64 #s(literal 3 binary64) a)) (*.f64 #s(literal 3 binary64) b)) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (fma.f64 (*.f64 a (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* -9/16 (* (* c c) (/ c (pow b 5))))) a) (/ (* -3/8 (* c c)) (* (* b b) b))) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) c) c (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) a) #s(literal -9/16 binary64)) (*.f64 b b))) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (/ c (* (* (* b b) b) (* b b))) (* (* -9/16 c) c)) (* (* a -1/6) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b)))))) a) (/ (* -3/8 (* c c)) (* (* b b) b))) (/.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 c c) (/.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) a) (*.f64 (*.f64 c c) c)) (*.f64 b b))) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a) (/.f64 (*.f64 #s(literal 3 binary64) a) b)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 #s(literal 3 binary64) a) b))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 #s(literal 1/9 binary64) (*.f64 b b))) (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (*.f64 #s(literal 1/9 binary64) (*.f64 b b))) (/.f64 #s(literal 1 binary64) a)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (/.f64 (*.f64 #s(literal 3 binary64) a) b)) (*.f64 (*.f64 #s(literal 3 binary64) a) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 (*.f64 #s(literal 3 binary64) a) b))) |
(/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 b (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a)))) (*.f64 a #s(literal 9 binary64))) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (/.f64 (-.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)))) |
(*.f64 (*.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 b (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a))) #s(literal 1/3 binary64)) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a))) |
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (/.f64 b a) #s(literal 3 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) #s(literal 3 binary64))) |
(/.f64 (-.f64 #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (/.f64 b a))) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) b)) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (+.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 b b)) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)))) a) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 b b) b))) (*.f64 a (fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)))))) |
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 b b) b))) (fma.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) (*.f64 b #s(literal 1/9 binary64)) (*.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))) a) |
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/27 binary64) b) (*.f64 b b) (*.f64 (*.f64 #s(literal 1/27 binary64) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))) (fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))))) a) |
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/27 binary64) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 b b) b))) (fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))))) a) |
(/.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal 1/27 binary64) (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 b b) b))) (fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))))) a) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) (*.f64 #s(literal 1/27 binary64) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 b b) b))) (fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))))) a) |
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 b b) b))) (fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))))) a) |
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 b b)) b)) (fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))))) a) |
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/9 binary64) (*.f64 b b)))) (fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))))) a) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 b b) b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 (*.f64 b b) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) (*.f64 #s(literal -3/8 binary64) (*.f64 a c))))) (pow.f64 b #s(literal 5 binary64)))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 a #s(literal -3/8 binary64)) c (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) b) b (*.f64 (*.f64 (*.f64 (*.f64 a c) a) #s(literal -9/16 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c)) |
#s(approx (/ (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) a) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 b a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (*.f64 c #s(literal -1/6 binary64)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)))) (/.f64 #s(literal -1/2 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64))) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
| Outputs |
|---|
#s(approx (/ (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) a) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 b a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (*.f64 c #s(literal -1/6 binary64)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)))) (/.f64 #s(literal -1/2 binary64) b)))) |
5 calls:
| 42.0ms | (*.f64 #s(literal 3 binary64) a) |
| 36.0ms | (/.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)) |
| 35.0ms | b |
| 34.0ms | c |
| 34.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.1% | 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)) |
| 95.1% | 1 | a |
| 95.1% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 95.1% | 1 | b |
| 95.1% | 1 | c |
Compiled 38 to 26 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#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 (/ (/ (- (* 1/27 (* (sqrt (+ (* (* a c) -3) (* b b))) (+ (* (* a c) -3) (* b b)))) (* 1/27 (* (* b b) b))) (+ (* 1/9 (+ (* (* a c) -3) (* b b))) (* (* 1/3 b) (* 1/3 (+ (sqrt (+ (* (* a c) -3) (* b b))) b))))) a) (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (*.f64 a b))) |
(/.f64 #s(approx (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c b)))) a) |
#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))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* 1/27 (* (sqrt (+ (* (* a c) -3) (* b b))) (+ (* (* a c) -3) (* b b)))) (* 1/27 (* (* b b) b))) (+ (* 1/9 (+ (* (* a c) -3) (* b b))) (* (* 1/3 b) (* 1/3 (+ (sqrt (+ (* (* a c) -3) (* b b))) b))))) (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) b))) a) |
(*.f64 #s(approx (neg (- (sqrt (+ (* (* a c) -3) (* b b))) b)) (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (* (* (/ c (* b b)) c) -3/8) a) (* -1/2 c)) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) a) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 (*.f64 b b) b))) (/.f64 #s(literal -1/2 binary64) b)))) |
(/.f64 (fma.f64 b #s(literal -1/3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) a) |
(/.f64 (fma.f64 b #s(literal -1/3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))) a) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 1/3 binary64) (*.f64 b #s(literal -1/3 binary64))) a) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) b)) a) |
(/.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 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/3 binary64) b)) a) |
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/3 binary64) b)) a) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c 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 (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) c) #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b)))) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 b c))) (*.f64 c c)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 (*.f64 b b) b))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) a) (fma.f64 #s(literal -1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b b) b)))) |
#s(approx (/ (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) a) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) b)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(/.f64 (*.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) b)) #s(literal 1/9 binary64)) a) |
(/.f64 (*.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) b)) #s(literal 1/9 binary64)) a) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) b)) (*.f64 a #s(literal 9 binary64))) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) b)) (*.f64 #s(literal 9 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) c)) (*.f64 c c))) b)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64)) |
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) (*.f64 b #s(literal 1/3 binary64))) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a)) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (/.f64 b (*.f64 #s(literal -3 binary64) a))) |
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a) #s(literal 1/3 binary64) (/.f64 b (*.f64 #s(literal -3 binary64) a))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (*.f64 (/.f64 b a) #s(literal 1/3 binary64))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/3 binary64) a) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) |
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a) (neg.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) b) a))) |
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a) (neg.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) b) a))) |
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) (/.f64 b #s(literal 3 binary64))) a) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal -3 binary64)) (*.f64 #s(literal 3 binary64) (neg.f64 b))) #s(literal -9 binary64)) a) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal -3 binary64)) (*.f64 #s(literal 3 binary64) (neg.f64 b))) #s(literal -9 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (* (* (/ c (* b b)) c) -3/8) a) (* -1/2 c)) (*.f64 a (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) (/.f64 c a))))) (/.f64 #s(literal 1 binary64) b))) |
(/.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a)) (neg.f64 (/.f64 b a))) #s(literal -3 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) b (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a))) (*.f64 #s(literal 9 binary64) (*.f64 a a))) |
(/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (*.f64 #s(literal -3 binary64) a) b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) |
(/.f64 (fma.f64 (*.f64 b #s(literal -3 binary64)) a (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a))) (*.f64 #s(literal 9 binary64) (*.f64 a a))) |
(/.f64 (fma.f64 (*.f64 b a) #s(literal -3 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a))) (*.f64 #s(literal 9 binary64) (*.f64 a a))) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) a (*.f64 (*.f64 #s(literal -3 binary64) a) b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) |
(fma.f64 #s(literal 3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal 9 binary64))) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (neg.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) b) a))) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 b a))) #s(literal 9 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 c (/.f64 c (*.f64 (*.f64 b b) b))) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal -3 binary64) a)) (*.f64 (*.f64 #s(literal -3 binary64) a) (neg.f64 b))) (*.f64 #s(literal 9 binary64) (*.f64 a a))) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))))) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a) (*.f64 #s(literal 3 binary64) a)) (*.f64 #s(literal 3 binary64) b)) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (fma.f64 (*.f64 a (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* -9/16 (* (* c c) (/ c (pow b 5))))) a) (/ (* -3/8 (* c c)) (* (* b b) b))) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) c) c (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) a) #s(literal -9/16 binary64)) (*.f64 b b))) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (/ c (* (* (* b b) b) (* b b))) (* (* -9/16 c) c)) (* (* a -1/6) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b)))))) a) (/ (* -3/8 (* c c)) (* (* b b) b))) (/.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 c c) (/.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) a) (*.f64 (*.f64 c c) c)) (*.f64 b b))) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a) (/.f64 (*.f64 #s(literal 3 binary64) a) b)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 #s(literal 3 binary64) a) b))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 #s(literal 1/9 binary64) (*.f64 b b))) (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (*.f64 #s(literal 1/9 binary64) (*.f64 b b))) (/.f64 #s(literal 1 binary64) a)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (/.f64 (*.f64 #s(literal 3 binary64) a) b)) (*.f64 (*.f64 #s(literal 3 binary64) a) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 (*.f64 #s(literal 3 binary64) a) b))) |
(/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 b (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a)))) (*.f64 a #s(literal 9 binary64))) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (/.f64 (-.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)))) |
(*.f64 (*.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 b (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a))) #s(literal 1/3 binary64)) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a))) |
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (/.f64 b a) #s(literal 3 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) #s(literal 3 binary64))) |
(/.f64 (-.f64 #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (/.f64 b a))) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) b)) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (+.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 b b)) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)))) a) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 b b) b))) (*.f64 a (fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)))))) |
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 b b) b))) (fma.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) (*.f64 b #s(literal 1/9 binary64)) (*.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))) a) |
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/27 binary64) b) (*.f64 b b) (*.f64 (*.f64 #s(literal 1/27 binary64) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))) (fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))))) a) |
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/27 binary64) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 b b) b))) (fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))))) a) |
(/.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal 1/27 binary64) (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 b b) b))) (fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))))) a) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) (*.f64 #s(literal 1/27 binary64) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 b b) b))) (fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))))) a) |
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 b b) b))) (fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))))) a) |
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 b b)) b)) (fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))))) a) |
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/9 binary64) (*.f64 b b)))) (fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))))) a) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 b b) b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 (*.f64 b b) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) (*.f64 #s(literal -3/8 binary64) (*.f64 a c))))) (pow.f64 b #s(literal 5 binary64)))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 a #s(literal -3/8 binary64)) c (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) b) b (*.f64 (*.f64 (*.f64 (*.f64 a c) a) #s(literal -9/16 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* -9/16 (* (* c c) (/ c (pow b 5))))) a) (/ (* -3/8 (* c c)) (* (* b b) b))) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) c) c (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) a) #s(literal -9/16 binary64)) (*.f64 b b))) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
5 calls:
| 37.0ms | c |
| 37.0ms | b |
| 34.0ms | (*.f64 #s(literal 3 binary64) a) |
| 32.0ms | a |
| 30.0ms | (/.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 |
|---|---|---|
| 93.8% | 1 | a |
| 93.8% | 1 | b |
| 93.8% | 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)) |
| 93.8% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 93.8% | 1 | c |
Compiled 38 to 26 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#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 (/ (/ (- (* 1/27 (* (sqrt (+ (* (* a c) -3) (* b b))) (+ (* (* a c) -3) (* b b)))) (* 1/27 (* (* b b) b))) (+ (* 1/9 (+ (* (* a c) -3) (* b b))) (* (* 1/3 b) (* 1/3 (+ (sqrt (+ (* (* a c) -3) (* b b))) b))))) a) (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (*.f64 a b))) |
(/.f64 #s(approx (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c b)))) a) |
#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))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* 1/27 (* (sqrt (+ (* (* a c) -3) (* b b))) (+ (* (* a c) -3) (* b b)))) (* 1/27 (* (* b b) b))) (+ (* 1/9 (+ (* (* a c) -3) (* b b))) (* (* 1/3 b) (* 1/3 (+ (sqrt (+ (* (* a c) -3) (* b b))) b))))) (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) b))) a) |
(*.f64 #s(approx (neg (- (sqrt (+ (* (* a c) -3) (* b b))) b)) (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (* (* (/ c (* b b)) c) -3/8) a) (* -1/2 c)) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) a) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 (*.f64 b b) b))) (/.f64 #s(literal -1/2 binary64) b)))) |
(/.f64 (fma.f64 b #s(literal -1/3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) a) |
(/.f64 (fma.f64 b #s(literal -1/3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))) a) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 1/3 binary64) (*.f64 b #s(literal -1/3 binary64))) a) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) b)) a) |
(/.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 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/3 binary64) b)) a) |
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/3 binary64) b)) a) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c 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 (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) c) #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b)))) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 b c))) (*.f64 c c)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 (*.f64 b b) b))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) a) (fma.f64 #s(literal -1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b b) b)))) |
#s(approx (/ (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) a) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) b)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(/.f64 (*.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) b)) #s(literal 1/9 binary64)) a) |
(/.f64 (*.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) b)) #s(literal 1/9 binary64)) a) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) b)) (*.f64 a #s(literal 9 binary64))) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) b)) (*.f64 #s(literal 9 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) c)) (*.f64 c c))) b)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64)) |
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) (*.f64 b #s(literal 1/3 binary64))) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a)) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (/.f64 b (*.f64 #s(literal -3 binary64) a))) |
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a) #s(literal 1/3 binary64) (/.f64 b (*.f64 #s(literal -3 binary64) a))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (*.f64 (/.f64 b a) #s(literal 1/3 binary64))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/3 binary64) a) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) |
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a) (neg.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) b) a))) |
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a) (neg.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) b) a))) |
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) (/.f64 b #s(literal 3 binary64))) a) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal -3 binary64)) (*.f64 #s(literal 3 binary64) (neg.f64 b))) #s(literal -9 binary64)) a) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal -3 binary64)) (*.f64 #s(literal 3 binary64) (neg.f64 b))) #s(literal -9 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (* (* (/ c (* b b)) c) -3/8) a) (* -1/2 c)) (*.f64 a (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) (/.f64 c a))))) (/.f64 #s(literal 1 binary64) b))) |
(/.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a)) (neg.f64 (/.f64 b a))) #s(literal -3 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) b (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a))) (*.f64 #s(literal 9 binary64) (*.f64 a a))) |
(/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (*.f64 #s(literal -3 binary64) a) b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) |
(/.f64 (fma.f64 (*.f64 b #s(literal -3 binary64)) a (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a))) (*.f64 #s(literal 9 binary64) (*.f64 a a))) |
(/.f64 (fma.f64 (*.f64 b a) #s(literal -3 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a))) (*.f64 #s(literal 9 binary64) (*.f64 a a))) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) a (*.f64 (*.f64 #s(literal -3 binary64) a) b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) |
(fma.f64 #s(literal 3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal 9 binary64))) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (neg.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) b) a))) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 b a))) #s(literal 9 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 c (/.f64 c (*.f64 (*.f64 b b) b))) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal -3 binary64) a)) (*.f64 (*.f64 #s(literal -3 binary64) a) (neg.f64 b))) (*.f64 #s(literal 9 binary64) (*.f64 a a))) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))))) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a) (*.f64 #s(literal 3 binary64) a)) (*.f64 #s(literal 3 binary64) b)) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (fma.f64 (*.f64 a (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (fma.f64 (*.f64 a (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
5 calls:
| 32.0ms | c |
| 28.0ms | a |
| 26.0ms | b |
| 23.0ms | (*.f64 #s(literal 3 binary64) a) |
| 23.0ms | (/.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 |
|---|---|---|
| 93.5% | 1 | a |
| 93.5% | 1 | b |
| 93.5% | 1 | c |
| 93.5% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 93.5% | 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(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#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 (/ (/ (- (* 1/27 (* (sqrt (+ (* (* a c) -3) (* b b))) (+ (* (* a c) -3) (* b b)))) (* 1/27 (* (* b b) b))) (+ (* 1/9 (+ (* (* a c) -3) (* b b))) (* (* 1/3 b) (* 1/3 (+ (sqrt (+ (* (* a c) -3) (* b b))) b))))) a) (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (*.f64 a b))) |
(/.f64 #s(approx (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c b)))) a) |
#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))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* 1/27 (* (sqrt (+ (* (* a c) -3) (* b b))) (+ (* (* a c) -3) (* b b)))) (* 1/27 (* (* b b) b))) (+ (* 1/9 (+ (* (* a c) -3) (* b b))) (* (* 1/3 b) (* 1/3 (+ (sqrt (+ (* (* a c) -3) (* b b))) b))))) (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) b))) a) |
(*.f64 #s(approx (neg (- (sqrt (+ (* (* a c) -3) (* b b))) b)) (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (* (* (/ c (* b b)) c) -3/8) a) (* -1/2 c)) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) a) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 (*.f64 b b) b))) (/.f64 #s(literal -1/2 binary64) b)))) |
(/.f64 (fma.f64 b #s(literal -1/3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) a) |
(/.f64 (fma.f64 b #s(literal -1/3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))) a) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 1/3 binary64) (*.f64 b #s(literal -1/3 binary64))) a) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) b)) a) |
(/.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 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/3 binary64) b)) a) |
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/3 binary64) b)) a) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c 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 (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) c) #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b)))) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 b c))) (*.f64 c c)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 (*.f64 b b) b))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) a) (fma.f64 #s(literal -1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b b) b)))) |
#s(approx (/ (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) a) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) b)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(/.f64 (*.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) b)) #s(literal 1/9 binary64)) a) |
(/.f64 (*.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) b)) #s(literal 1/9 binary64)) a) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) b)) (*.f64 a #s(literal 9 binary64))) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) b)) (*.f64 #s(literal 9 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) c)) (*.f64 c c))) b)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64)) |
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) (*.f64 b #s(literal 1/3 binary64))) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a)) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (/.f64 b (*.f64 #s(literal -3 binary64) a))) |
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a) #s(literal 1/3 binary64) (/.f64 b (*.f64 #s(literal -3 binary64) a))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (*.f64 (/.f64 b a) #s(literal 1/3 binary64))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/3 binary64) a) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) |
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a) (neg.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) b) a))) |
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a) (neg.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) b) a))) |
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) (/.f64 b #s(literal 3 binary64))) a) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal -3 binary64)) (*.f64 #s(literal 3 binary64) (neg.f64 b))) #s(literal -9 binary64)) a) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal -3 binary64)) (*.f64 #s(literal 3 binary64) (neg.f64 b))) #s(literal -9 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (* (* (/ c (* b b)) c) -3/8) a) (* -1/2 c)) (*.f64 a (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) (/.f64 c a))))) (/.f64 #s(literal 1 binary64) b))) |
(/.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a)) (neg.f64 (/.f64 b a))) #s(literal -3 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) b (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a))) (*.f64 #s(literal 9 binary64) (*.f64 a a))) |
(/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (*.f64 #s(literal -3 binary64) a) b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) |
(/.f64 (fma.f64 (*.f64 b #s(literal -3 binary64)) a (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a))) (*.f64 #s(literal 9 binary64) (*.f64 a a))) |
(/.f64 (fma.f64 (*.f64 b a) #s(literal -3 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a))) (*.f64 #s(literal 9 binary64) (*.f64 a a))) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) a (*.f64 (*.f64 #s(literal -3 binary64) a) b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) |
(fma.f64 #s(literal 3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal 9 binary64))) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (neg.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) b) a))) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 b a))) #s(literal 9 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 c (/.f64 c (*.f64 (*.f64 b b) b))) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal -3 binary64) a)) (*.f64 (*.f64 #s(literal -3 binary64) a) (neg.f64 b))) (*.f64 #s(literal 9 binary64) (*.f64 a a))) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))))) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a) (*.f64 #s(literal 3 binary64) a)) (*.f64 #s(literal 3 binary64) b)) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b)) |
5 calls:
| 27.0ms | b |
| 26.0ms | (*.f64 #s(literal 3 binary64) a) |
| 25.0ms | c |
| 25.0ms | a |
| 21.0ms | (/.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 |
|---|---|---|
| 91.0% | 1 | c |
| 91.0% | 1 | a |
| 91.0% | 1 | b |
| 91.0% | 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)) |
| 91.0% | 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(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#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 (/ (/ (- (* 1/27 (* (sqrt (+ (* (* a c) -3) (* b b))) (+ (* (* a c) -3) (* b b)))) (* 1/27 (* (* b b) b))) (+ (* 1/9 (+ (* (* a c) -3) (* b b))) (* (* 1/3 b) (* 1/3 (+ (sqrt (+ (* (* a c) -3) (* b b))) b))))) a) (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (*.f64 a b))) |
(/.f64 #s(approx (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c b)))) a) |
#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))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* 1/27 (* (sqrt (+ (* (* a c) -3) (* b b))) (+ (* (* a c) -3) (* b b)))) (* 1/27 (* (* b b) b))) (+ (* 1/9 (+ (* (* a c) -3) (* b b))) (* (* 1/3 b) (* 1/3 (+ (sqrt (+ (* (* a c) -3) (* b b))) b))))) (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) b))) a) |
(*.f64 #s(approx (neg (- (sqrt (+ (* (* a c) -3) (* b b))) b)) (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (* (* (/ c (* b b)) c) -3/8) a) (* -1/2 c)) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b)) |
5 calls:
| 13.0ms | (/.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)) |
| 11.0ms | a |
| 7.0ms | (*.f64 #s(literal 3 binary64) a) |
| 7.0ms | c |
| 7.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.0% | 1 | c |
| 91.0% | 1 | b |
| 91.0% | 1 | a |
| 91.0% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 91.0% | 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(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#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 (/ (/ (- (* 1/27 (* (sqrt (+ (* (* a c) -3) (* b b))) (+ (* (* a c) -3) (* b b)))) (* 1/27 (* (* b b) b))) (+ (* 1/9 (+ (* (* a c) -3) (* b b))) (* (* 1/3 b) (* 1/3 (+ (sqrt (+ (* (* a c) -3) (* b b))) b))))) a) (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (*.f64 a b))) |
(/.f64 #s(approx (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c b)))) a) |
#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))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* 1/27 (* (sqrt (+ (* (* a c) -3) (* b b))) (+ (* (* a c) -3) (* b b)))) (* 1/27 (* (* b b) b))) (+ (* 1/9 (+ (* (* a c) -3) (* b b))) (* (* 1/3 b) (* 1/3 (+ (sqrt (+ (* (* a c) -3) (* b b))) b))))) (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) b))) a) |
(*.f64 #s(approx (neg (- (sqrt (+ (* (* a c) -3) (* b b))) b)) (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) b)) c)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) b)) c)) |
5 calls:
| 5.0ms | (*.f64 #s(literal 3 binary64) a) |
| 4.0ms | 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 |
|---|---|---|
| 90.7% | 1 | b |
| 90.7% | 1 | c |
| 90.7% | 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)) |
| 90.7% | 1 | a |
| 90.7% | 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(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#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 (/ (/ (- (* 1/27 (* (sqrt (+ (* (* a c) -3) (* b b))) (+ (* (* a c) -3) (* b b)))) (* 1/27 (* (* b b) b))) (+ (* 1/9 (+ (* (* a c) -3) (* b b))) (* (* 1/3 b) (* 1/3 (+ (sqrt (+ (* (* a c) -3) (* b b))) b))))) a) (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (*.f64 a b))) |
(/.f64 #s(approx (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c b)))) a) |
#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))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* 1/27 (* (sqrt (+ (* (* a c) -3) (* b b))) (+ (* (* a c) -3) (* b b)))) (* 1/27 (* (* b b) b))) (+ (* 1/9 (+ (* (* a c) -3) (* b b))) (* (* 1/3 b) (* 1/3 (+ (sqrt (+ (* (* a c) -3) (* b b))) b))))) (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) b))) a) |
(*.f64 #s(approx (neg (- (sqrt (+ (* (* a c) -3) (* b b))) b)) (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
5 calls:
| 4.0ms | (*.f64 #s(literal 3 binary64) a) |
| 4.0ms | a |
| 4.0ms | b |
| 4.0ms | c |
| 3.0ms | (/.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 |
|---|---|---|
| 82.2% | 1 | b |
| 82.2% | 1 | a |
| 82.2% | 1 | c |
| 82.2% | 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)) |
| 82.2% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 38 to 26 computations (31.6% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
5 calls:
| 2.0ms | a |
| 1.0ms | (*.f64 #s(literal 3 binary64) a) |
| 1.0ms | c |
| 1.0ms | (/.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)) |
| 1.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.0% | 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)) |
| 82.0% | 1 | b |
| 82.0% | 1 | c |
| 82.0% | 1 | a |
| 82.0% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 38 to 26 computations (31.6% saved)
| 1× | egg-herbie |
| 84× | *-commutative_binary64 |
| 6× | +-commutative_binary64 |
| 6× | sub-neg_binary64 |
| 6× | neg-sub0_binary64 |
| 6× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 181 | 651 |
| 1 | 228 | 651 |
| 2 | 234 | 651 |
| 3 | 239 | 651 |
| 4 | 241 | 651 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (/ (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) a) #s(approx (* c (+ (* c (+ (* c (+ (* -1/6 (* c (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a b)))) (/ (* -9/16 (* a a)) (pow b 5)))) (* -3/8 (/ a (* (* b b) b))))) (/ -1/2 b))) (neg.f64 (/.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (fma.f64 #s(literal 1/2 binary64) c (fma.f64 #s(literal 135/128 binary64) (*.f64 (*.f64 (*.f64 a a) a) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal 4 binary64))))))) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) a) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 b a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (*.f64 c #s(literal -1/6 binary64)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)))) (/.f64 #s(literal -1/2 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* -9/16 (* (* c c) (/ c (pow b 5))))) a) (/ (* -3/8 (* c c)) (* (* b b) b))) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) c) c (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) a) #s(literal -9/16 binary64)) (*.f64 b b))) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (fma.f64 (*.f64 a (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
| Outputs |
|---|
#s(approx (/ (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) a) #s(approx (* c (+ (* c (+ (* c (+ (* -1/6 (* c (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a b)))) (/ (* -9/16 (* a a)) (pow b 5)))) (* -3/8 (/ a (* (* b b) b))))) (/ -1/2 b))) (neg.f64 (/.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (fma.f64 #s(literal 1/2 binary64) c (fma.f64 #s(literal 135/128 binary64) (*.f64 (*.f64 (*.f64 a a) a) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal 4 binary64))))))) b)))) |
#s(approx (/ (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) a) #s(approx (* c (+ (* c (+ (* c (+ (* -1/6 (* c (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a b)))) (/ (* -9/16 (* a a)) (pow b 5)))) (* -3/8 (/ a (* (* b b) b))))) (/ -1/2 b))) (/.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) (fma.f64 #s(literal 1/2 binary64) c (fma.f64 #s(literal 135/128 binary64) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 (*.f64 a a) a)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) #s(literal 9/16 binary64))))) (neg.f64 b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 #s(literal -9/16 binary64) c) c) (*.f64 (*.f64 (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 #s(literal -1/6 binary64) a))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) a) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 b a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (*.f64 c #s(literal -1/6 binary64)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)))) (/.f64 #s(literal -1/2 binary64) b)))) |
#s(approx (/ (- (/ (sqrt (+ (* (* a c) -3) (* b b))) 3) (/ b 3)) a) (*.f64 (fma.f64 c (fma.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 405/64 binary64)) (*.f64 a a)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 b a))) (*.f64 #s(literal -1/6 binary64) c) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* -9/16 (* (* c c) (/ c (pow b 5))))) a) (/ (* -3/8 (* c c)) (* (* b b) b))) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) c) c (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) a) #s(literal -9/16 binary64)) (*.f64 b b))) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (fma.f64 (*.f64 a (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) a) a) #s(literal -9/16 binary64) (*.f64 #s(literal -3/8 binary64) a)) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 (/.f64 c (*.f64 b b)) c) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (*.f64 (fma.f64 (*.f64 (/.f64 c (*.f64 b b)) a) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 (/.f64 c (*.f64 b b)) a) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
| 12 496× | lower-fma.f64 |
| 12 496× | lower-fma.f32 |
| 11 360× | lower-fma.f64 |
| 11 360× | lower-fma.f32 |
| 9 060× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 858 | 14103 |
| 1 | 2679 | 13963 |
| 0 | 8413 | 13398 |
| 0 | 470 | 2458 |
| 1 | 1445 | 2441 |
| 2 | 4896 | 2418 |
| 0 | 8064 | 2302 |
| 0 | 67 | 453 |
| 0 | 116 | 433 |
| 1 | 442 | 411 |
| 2 | 3629 | 403 |
| 0 | 8359 | 403 |
| 0 | 2380 | 27622 |
| 1 | 6940 | 27555 |
| 0 | 8348 | 26420 |
| 0 | 1945 | 20117 |
| 1 | 5500 | 19843 |
| 0 | 8049 | 19010 |
| 0 | 12 | 46 |
| 0 | 20 | 46 |
| 1 | 71 | 44 |
| 2 | 525 | 43 |
| 3 | 6836 | 43 |
| 0 | 8125 | 40 |
| 0 | 86 | 533 |
| 0 | 143 | 509 |
| 1 | 565 | 415 |
| 2 | 4728 | 405 |
| 0 | 8594 | 405 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter 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 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 509 to 232 computations (54.4% saved)
Compiled 648 to 212 computations (67.3% saved)
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