
Time bar (total: 13.0s)
| 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)
| 1.3s | 5 278× | 1 | valid |
| 479.0ms | 2 978× | 0 | valid |
| 177.0ms | 1 134× | 0 | invalid |
ival-mult: 280.0ms (18.4% of total)ival-sub: 255.0ms (16.7% of total)const: 224.0ms (14.7% of total)ival-<: 171.0ms (11.2% of total)ival-sqrt: 150.0ms (9.8% of total)adjust: 138.0ms (9.1% of total)ival-div: 108.0ms (7.1% of total)ival-add: 98.0ms (6.4% of total)ival-neg: 53.0ms (3.5% of total)ival-and: 35.0ms (2.3% of total)exact: 10.0ms (0.7% of total)ival-assert: 3.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 250 | 1 | (7.32411602124205 0.055820905597756355 2.4011461539865305e-7) | 2 | (1.435585893028886e-9 6.297012685362269e-11 3.467449256171483e-14) | (+.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 | 249 | 4 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 248 | 2 |
| - | 1 | 5 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 248 | 2 | 0 |
| - | 1 | 2 | 3 |
| number | freq |
|---|---|
| 0 | 7 |
| 1 | 249 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 54.0ms | 342× | 1 | valid |
| 27.0ms | 170× | 0 | valid |
Compiled 156 to 40 computations (74.4% saved)
ival-mult: 12.0ms (27.7% of total)ival-div: 6.0ms (13.8% of total)adjust: 6.0ms (13.8% of total)ival-add: 6.0ms (13.8% of total)ival-sqrt: 6.0ms (13.8% of total)ival-sub: 4.0ms (9.2% of total)ival-neg: 3.0ms (6.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
| 1 562× | div-sub |
| 1 088× | lower-fma.f64 |
| 1 088× | lower-fma.f32 |
| 996× | sub-neg |
| 712× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 158 |
| 1 | 152 | 144 |
| 2 | 433 | 144 |
| 3 | 1173 | 144 |
| 4 | 3171 | 144 |
| 5 | 6061 | 144 |
| 0 | 12 | 17 |
| 0 | 20 | 17 |
| 1 | 36 | 16 |
| 2 | 73 | 16 |
| 3 | 156 | 16 |
| 4 | 236 | 16 |
| 5 | 374 | 16 |
| 6 | 650 | 16 |
| 7 | 1103 | 16 |
| 8 | 2241 | 16 |
| 9 | 2510 | 16 |
| 10 | 2621 | 16 |
| 11 | 2676 | 16 |
| 12 | 2677 | 16 |
| 13 | 2677 | 16 |
| 0 | 2677 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a)) |
Compiled 20 to 12 computations (40% saved)
Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 30.4% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
Compiled 20 to 12 computations (40% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 128 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | |
| cost-diff | 128 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
| 1 088× | lower-fma.f64 |
| 1 088× | lower-fma.f32 |
| 712× | lower-*.f32 |
| 706× | lower-*.f64 |
| 430× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 66 |
| 0 | 20 | 66 |
| 1 | 36 | 64 |
| 2 | 73 | 64 |
| 3 | 156 | 64 |
| 4 | 236 | 64 |
| 5 | 374 | 64 |
| 6 | 650 | 64 |
| 7 | 1103 | 64 |
| 8 | 2241 | 64 |
| 9 | 2510 | 64 |
| 10 | 2621 | 64 |
| 11 | 2676 | 64 |
| 12 | 2677 | 64 |
| 13 | 2677 | 64 |
| 0 | 2677 | 60 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 3 binary64) a) c) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
a |
c |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64)))) b) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64)))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64))) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 3 binary64) a) c) |
(*.f64 #s(literal 3 binary64) (*.f64 a c)) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
a |
c |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0859375 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | |
| accuracy | 0.2734375 | (*.f64 (*.f64 #s(literal 3 binary64) a) c) | |
| accuracy | 0.37728500976844204 | (/.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 | 44.48582955493335 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
| 27.0ms | 171× | 1 | valid |
| 19.0ms | 85× | 0 | valid |
Compiled 68 to 14 computations (79.4% saved)
ival-add: 14.0ms (43.2% of total)ival-mult: 6.0ms (18.5% of total)ival-div: 3.0ms (9.3% of total)adjust: 3.0ms (9.3% of total)ival-sqrt: 3.0ms (9.3% of total)ival-sub: 2.0ms (6.2% of total)ival-neg: 1.0ms (3.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ()) |
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/2 (/ (* a c) b)) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 b) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/2 (/ (* a c) b)) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
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#s(alt (* 3 (* a c)) (taylor -inf a) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor 0 c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor 0 c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor 0 c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor 0 c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor inf c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor inf c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor inf c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor inf c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor -inf c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor -inf c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor -inf c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor -inf c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ()) |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | b | @ | inf | (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) |
| 2.0ms | b | @ | 0 | (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) |
| 1.0ms | b | @ | inf | (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) |
| 1.0ms | a | @ | inf | (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) |
| 1.0ms | c | @ | 0 | (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) |
| 1× | egg-herbie |
| 11 360× | lower-fma.f64 |
| 11 360× | lower-fma.f32 |
| 6 828× | lower-*.f64 |
| 6 828× | lower-*.f32 |
| 3 678× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 470 | 2458 |
| 1 | 1445 | 2441 |
| 2 | 4896 | 2418 |
| 0 | 8064 | 2302 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt (* a c)) (sqrt -3)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(* -3/2 (/ (* a c) b)) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -3/2 (/ (* a c) b)) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -3 (* a c)) |
(- (pow b 2) (* 3 (* a c))) |
(- (pow b 2) (* 3 (* a c))) |
(- (pow b 2) (* 3 (* a c))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -3 (* a c)) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(* -3 (* a c)) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -3 (* a c)) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(* -3 (* a c)) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
| Outputs |
|---|
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (neg.f64 b)) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(fma.f64 b (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/24 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))) |
(* -3/2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/.f64 (fma.f64 a (*.f64 c #s(literal -3/2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 a a)) (*.f64 b b))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/.f64 (fma.f64 (*.f64 a a) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b b)) (fma.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 a c) #s(literal -3/2 binary64)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/16 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 a (*.f64 c #s(literal -3/2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 a a)) (*.f64 b b))))) b) |
(* -2 b) |
(*.f64 b #s(literal -2 binary64)) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(neg.f64 (*.f64 b (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64)))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(*.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64))) (neg.f64 b)) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(*.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64)))) (neg.f64 b)) |
(* -3/2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(*.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -27/16 binary64) a) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
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(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/6 binary64)) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)) (*.f64 (/.f64 b a) #s(literal -1/3 binary64)))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(fma.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/72 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/6 binary64)) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 b a)) #s(literal -1/3 binary64)) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64))) (/.f64 (fma.f64 (/.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) #s(literal 1/6 binary64)) (*.f64 b #s(literal 1/3 binary64))) a)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64))) (/.f64 (-.f64 (*.f64 b #s(literal 1/3 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 a c)) #s(literal -1/6 binary64)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1/72 binary64))) a)) a)) |
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 (*.f64 a a) (*.f64 (/.f64 c (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 a b)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)) (*.f64 #s(literal -1/3 binary64) (/.f64 b (*.f64 a c))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/6 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)) (*.f64 #s(literal -1/3 binary64) (/.f64 b (*.f64 a c)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(*.f64 c (fma.f64 #s(literal -1/3 binary64) (/.f64 b (*.f64 a c)) (fma.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/72 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(*.f64 c (*.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 b (*.f64 a c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1/3 binary64))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (/.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/6 binary64)) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))) c)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1/3 binary64))) (/.f64 (-.f64 (*.f64 (/.f64 b a) #s(literal -1/3 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/72 binary64) (*.f64 (/.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a))))))) c)) c)) (neg.f64 c)) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
| 4 876× | lower-fma.f64 |
| 4 876× | lower-fma.f32 |
| 3 870× | lower-*.f32 |
| 3 864× | lower-*.f64 |
| 2 328× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 46 |
| 0 | 20 | 46 |
| 1 | 71 | 44 |
| 2 | 525 | 43 |
| 3 | 6836 | 43 |
| 0 | 8125 | 40 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(neg.f64 b) |
(*.f64 (*.f64 #s(literal 3 binary64) a) c) |
| Outputs |
|---|
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(+.f64 b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(+.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) |
(+.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(+.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(+.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 0 binary64)) b) |
(+.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) b) |
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) |
(-.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(-.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(-.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(-.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 0 binary64)) b) |
(fma.f64 b #s(literal 1 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(fma.f64 b #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(fma.f64 b #s(literal -1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(fma.f64 b (/.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(fma.f64 (*.f64 b (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(fma.f64 (*.f64 b (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(fma.f64 #s(literal 1 binary64) b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(fma.f64 #s(literal 1 binary64) b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(fma.f64 #s(literal -1 binary64) b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1/2 binary64)) b) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))))) b) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))))) b) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/2 binary64)) b) |
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(*.f64 (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a))) |
(*.f64 (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (/.f64 #s(literal 1/3 binary64) a) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(*.f64 (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -3 binary64)))) |
(*.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a))) |
(*.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 #s(literal 3 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))) |
(*.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 #s(literal 1/3 binary64) a))) |
(*.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (/.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal -1/3 binary64) a)) |
(*.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 a))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a)) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(*.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(*.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (neg.f64 a))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1/3 binary64))) |
(*.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a)) |
(*.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) a) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 3 binary64))) |
(*.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) a)) |
(*.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) a) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal 3 binary64))) |
(*.f64 (/.f64 (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 #s(literal -1/3 binary64) a)) |
(*.f64 (/.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) (fma.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (fma.f64 b (*.f64 b (*.f64 b b)) (fma.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (neg.f64 (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
b |
(+.f64 b #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) b) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) b) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b b)) b) |
(-.f64 (/.f64 #s(literal 0 binary64) b) b) |
(fma.f64 b #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 b #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) #s(literal 0 binary64)) |
(fma.f64 (*.f64 b (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) b #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) b #s(literal 0 binary64)) |
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(neg.f64 b) |
(/.f64 (*.f64 b b) b) |
(/.f64 (*.f64 b (*.f64 b b)) (*.f64 b b)) |
(/.f64 (*.f64 b (*.f64 b b)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) #s(literal 0 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 b b))) |
(pow.f64 b #s(literal 1 binary64)) |
(*.f64 b #s(literal 1 binary64)) |
(*.f64 b #s(literal -1 binary64)) |
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (*.f64 b (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(*.f64 #s(literal 1 binary64) b) |
(*.f64 #s(literal -1 binary64) b) |
(*.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64))) |
(*.f64 #s(literal 3 binary64) (*.f64 a c)) |
(*.f64 a (*.f64 #s(literal 3 binary64) c)) |
(*.f64 (*.f64 #s(literal 3 binary64) a) c) |
(*.f64 c (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (*.f64 a c) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) c) a) |
Compiled 20 413 to 1 864 computations (90.9% saved)
27 alts after pruning (27 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 527 | 27 | 554 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 528 | 27 | 555 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 30.2% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) |
| 29.8% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) b) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 30.4% | (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) | |
| 30.9% | (/.f64 (-.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)) | |
| 30.4% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a)) | |
| 30.5% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a)) | |
| 30.2% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) | |
| 30.4% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b (fma.f64 b (*.f64 #s(literal -3 binary64) (*.f64 a (/.f64 c (*.f64 b b)))) b))))) (*.f64 #s(literal 3 binary64) a)) | |
| 30.4% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 a (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a)))))) (*.f64 #s(literal 3 binary64) a)) | |
| 30.4% | (/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64)) | |
| 95.2% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 a a) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b b)) (fma.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 a c) #s(literal -3/2 binary64)))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 82.1% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 96.7% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 92.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 30.4% | (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) | |
| ▶ | 29.9% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a))) |
| 30.4% | (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) | |
| 92.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 c (/.f64 #s(literal -1/2 binary64) b) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b))))) | |
| 95.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -9/16 binary64) a) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) | |
| ▶ | 97.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
| 95.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64)))) b)) | |
| ▶ | 92.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) |
| 97.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))))) b)) | |
| 95.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 c (fma.f64 (*.f64 a a) (*.f64 (/.f64 c (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b)))) | |
| 97.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 a b)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b)))) | |
| 92.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))) | |
| ▶ | 82.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
Compiled 1 676 to 956 computations (43% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) | |
| cost-diff | 0 | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 640 | (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) | |
| cost-diff | 3264 | (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) | |
| cost-diff | 0 | (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) | |
| cost-diff | 0 | (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 1024 | (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a))) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) | |
| cost-diff | 0 | (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) | |
| cost-diff | 320 | (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) | |
| cost-diff | 0 | (/.f64 c b) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) (/.f64 c b)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) | |
| cost-diff | 320 | (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) | |
| cost-diff | 320 | (fma.f64 a (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) | |
| cost-diff | 384 | (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) | |
| cost-diff | 4864 | (pow.f64 b #s(literal 6 binary64)) |
| 10 426× | lower-fma.f32 |
| 10 412× | lower-fma.f64 |
| 4 928× | lower-/.f32 |
| 4 906× | lower-/.f64 |
| 4 094× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 761 |
| 0 | 123 | 711 |
| 1 | 243 | 683 |
| 2 | 652 | 651 |
| 3 | 2408 | 630 |
| 4 | 4973 | 630 |
| 5 | 7939 | 630 |
| 0 | 8110 | 623 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(fma.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
a |
(fma.f64 a (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) |
(fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) |
(/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) |
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) |
(/.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) a) |
#s(literal 405/64 binary64) |
#s(literal -1/6 binary64) |
(/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) |
(*.f64 c (*.f64 c c)) |
(*.f64 c c) |
#s(literal -9/16 binary64) |
(pow.f64 b #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b))) |
(*.f64 (*.f64 c c) #s(literal -3/8 binary64)) |
#s(literal -3/8 binary64) |
(*.f64 b (*.f64 b b)) |
(*.f64 b b) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
#s(literal -1/2 binary64) |
(/.f64 c b) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
#s(literal -1/2 binary64) |
(/.f64 c b) |
c |
b |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) |
(/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b) |
(fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) |
a |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) |
(*.f64 (*.f64 c c) #s(literal -3/8 binary64)) |
(*.f64 c c) |
c |
#s(literal -3/8 binary64) |
(*.f64 b b) |
b |
(*.f64 c #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) |
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) |
a |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
(*.f64 b b) |
b |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
(/.f64 b (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) |
(-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) |
(sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) |
(fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))) |
#s(literal -9 binary64) |
(*.f64 a (*.f64 c (*.f64 a c))) |
a |
(*.f64 c (*.f64 a c)) |
c |
(*.f64 a c) |
(*.f64 b (*.f64 b (*.f64 b b))) |
b |
(*.f64 b (*.f64 b b)) |
(*.f64 b b) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b))) |
(sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) |
(fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)) |
#s(literal 3 binary64) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b)) |
(*.f64 #s(literal 3 binary64) a) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 a (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 a #s(literal -135/128 binary64))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 (*.f64 c c) (fma.f64 c (/.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b)))))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(fma.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(fma.f64 a (fma.f64 a (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 a #s(literal -135/128 binary64))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 (*.f64 c c) (fma.f64 c (/.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b)))))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
a |
(fma.f64 a (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) |
(fma.f64 a (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 a #s(literal -135/128 binary64))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 (*.f64 c c) (fma.f64 c (/.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b)))))) |
(fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) |
(fma.f64 (*.f64 a #s(literal -135/128 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) |
(/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) |
(/.f64 (*.f64 a (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) |
(/.f64 (*.f64 a (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) |
(pow.f64 c #s(literal 4 binary64)) |
c |
#s(literal 4 binary64) |
(pow.f64 b #s(literal 6 binary64)) |
(*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) |
b |
#s(literal 6 binary64) |
(*.f64 #s(literal 405/64 binary64) a) |
(*.f64 a #s(literal 405/64 binary64)) |
#s(literal 405/64 binary64) |
#s(literal -1/6 binary64) |
(/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) |
(*.f64 c (*.f64 c c)) |
(*.f64 c c) |
#s(literal -9/16 binary64) |
(pow.f64 b #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b))) |
(*.f64 (*.f64 c c) #s(literal -3/8 binary64)) |
#s(literal -3/8 binary64) |
(*.f64 b (*.f64 b b)) |
(*.f64 b b) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
#s(literal -1/2 binary64) |
(/.f64 c b) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
#s(literal -1/2 binary64) |
(/.f64 c b) |
c |
b |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c (fma.f64 (*.f64 a c) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) #s(literal -1/2 binary64))) b)) |
(/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b) |
(/.f64 (*.f64 c (fma.f64 (*.f64 a c) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) #s(literal -1/2 binary64))) b) |
(fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) |
(*.f64 c (fma.f64 (*.f64 a c) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) #s(literal -1/2 binary64))) |
a |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) |
(*.f64 (*.f64 c c) #s(literal -3/8 binary64)) |
(*.f64 c c) |
c |
#s(literal -3/8 binary64) |
(*.f64 b b) |
b |
(*.f64 c #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) |
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) |
a |
(*.f64 #s(literal -3 binary64) c) |
(*.f64 c #s(literal -3 binary64)) |
#s(literal -3 binary64) |
c |
(*.f64 b b) |
b |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
(/.f64 b (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 (*.f64 a (*.f64 a c)) #s(literal -9 binary64))))) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 (*.f64 a (*.f64 a c)) #s(literal -9 binary64))))) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)))) b) |
(-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) |
(*.f64 b (*.f64 b (-.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 (*.f64 a (*.f64 a c)) #s(literal -9 binary64))))) (*.f64 b (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))))))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) |
(*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 (*.f64 a (*.f64 a c)) #s(literal -9 binary64)))))) |
(sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) |
(sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 (*.f64 a (*.f64 a c)) #s(literal -9 binary64))))) |
(fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))) |
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 (*.f64 a (*.f64 a c)) #s(literal -9 binary64)))) |
#s(literal -9 binary64) |
(*.f64 a (*.f64 c (*.f64 a c))) |
(*.f64 c (*.f64 a (*.f64 a c))) |
a |
(*.f64 c (*.f64 a c)) |
(*.f64 a (*.f64 c c)) |
c |
(*.f64 a c) |
(*.f64 b (*.f64 b (*.f64 b b))) |
b |
(*.f64 b (*.f64 b b)) |
(*.f64 b b) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b))) |
(*.f64 (*.f64 b (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)))) |
(sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) |
(fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)) |
#s(literal 3 binary64) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b)) |
(*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)))) |
(*.f64 #s(literal 3 binary64) a) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.3515625 | (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) | |
| accuracy | 0.37728500976844204 | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 0.42806625976844204 | (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) | |
| accuracy | 44.7897313912324 | (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) | |
| accuracy | 0.08822250976844202 | (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) | |
| accuracy | 0.30697250976844204 | (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 0.30859375 | (/.f64 b (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 44.73025688888078 | (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a))) | |
| accuracy | 0.14453125 | (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b) | |
| accuracy | 0.2578125 | (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) | |
| accuracy | 0.3203125 | (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) | |
| accuracy | 4.7303987114540265 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) | |
| accuracy | 0 | (/.f64 c b) | |
| accuracy | 0 | (*.f64 #s(literal -1/2 binary64) (/.f64 c b)) | |
| accuracy | 11.164103041474327 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) | |
| accuracy | 0.328125 | (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) | |
| accuracy | 0.328788769536884 | (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b))) | |
| accuracy | 0.39681625976844204 | (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) | |
| accuracy | 1.6168422843902268 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
| 246.0ms | 180× | 1 | valid |
| 40.0ms | 76× | 0 | valid |
Compiled 720 to 74 computations (89.7% saved)
ival-mult: 55.0ms (30.3% of total)adjust: 42.0ms (23.1% of total)ival-div: 30.0ms (16.5% of total)ival-sqrt: 16.0ms (8.8% of total)ival-add: 16.0ms (8.8% of total)ival-pow: 9.0ms (5% of total)ival-sub: 6.0ms (3.3% of total)const: 4.0ms (2.2% of total)exact: 1.0ms (0.6% of total)ival-neg: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (pow.f64 b #s(literal 6 binary64)) (patch (pow.f64 b #s(literal 6 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) (patch (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #<representation binary64>) () ()) |
#s(alt (fma.f64 a (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (patch (fma.f64 a (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (patch (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/2 binary64) (/.f64 c b)) (patch (*.f64 #s(literal -1/2 binary64) (/.f64 c b)) #<representation binary64>) () ()) |
#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ()) |
#s(alt (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (patch (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b) (patch (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (patch (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a))) (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ()) |
#s(alt (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (patch (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (patch (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (patch (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (patch (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (*.f64 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 (*.f64 c c) #s(literal -3/8 binary64)) (patch (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 b (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 b (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (pow b 6) (taylor 0 b) (#s(alt (pow.f64 b #s(literal 6 binary64)) (patch (pow.f64 b #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 6) (taylor 0 b) (#s(alt (pow.f64 b #s(literal 6 binary64)) (patch (pow.f64 b #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 6) (taylor 0 b) (#s(alt (pow.f64 b #s(literal 6 binary64)) (patch (pow.f64 b #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 6) (taylor 0 b) (#s(alt (pow.f64 b #s(literal 6 binary64)) (patch (pow.f64 b #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 6) (taylor inf b) (#s(alt (pow.f64 b #s(literal 6 binary64)) (patch (pow.f64 b #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 6) (taylor inf b) (#s(alt (pow.f64 b #s(literal 6 binary64)) (patch (pow.f64 b #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 6) (taylor inf b) (#s(alt (pow.f64 b #s(literal 6 binary64)) (patch (pow.f64 b #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 6) (taylor inf b) (#s(alt (pow.f64 b #s(literal 6 binary64)) (patch (pow.f64 b #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 6) (taylor -inf b) (#s(alt (pow.f64 b #s(literal 6 binary64)) (patch (pow.f64 b #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 6) (taylor -inf b) (#s(alt (pow.f64 b #s(literal 6 binary64)) (patch (pow.f64 b #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 6) (taylor -inf b) (#s(alt (pow.f64 b #s(literal 6 binary64)) (patch (pow.f64 b #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 6) (taylor -inf b) (#s(alt (pow.f64 b #s(literal 6 binary64)) (patch (pow.f64 b #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor 0 c) (#s(alt (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) (patch (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor 0 c) (#s(alt (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) (patch (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor 0 c) (#s(alt (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) (patch (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor 0 c) (#s(alt (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) (patch (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor inf c) (#s(alt (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) (patch (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor inf c) (#s(alt (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) (patch (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor inf c) (#s(alt (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) (patch (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor inf c) (#s(alt (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) (patch (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor -inf c) (#s(alt (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) (patch (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor -inf c) (#s(alt (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) (patch (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor -inf c) (#s(alt (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) (patch (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor -inf c) (#s(alt (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) (patch (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor 0 b) (#s(alt (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) (patch (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor 0 b) (#s(alt (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) (patch (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor 0 b) (#s(alt (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) (patch (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor 0 b) (#s(alt (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) (patch (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor inf b) (#s(alt (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) (patch (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor inf b) (#s(alt (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) (patch (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor inf b) (#s(alt (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) (patch (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor inf b) (#s(alt (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) (patch (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor -inf b) (#s(alt (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) (patch (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor -inf b) (#s(alt (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) (patch (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor -inf b) (#s(alt (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) (patch (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor -inf b) (#s(alt (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) (patch (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor 0 a) (#s(alt (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) (patch (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor 0 a) (#s(alt (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) (patch (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor 0 a) (#s(alt (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) (patch (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor 0 a) (#s(alt (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) (patch (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor inf a) (#s(alt (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) (patch (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor inf a) (#s(alt (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) (patch (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor inf a) (#s(alt (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) (patch (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) (taylor inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) (taylor -inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) #<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 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) #<representation binary64>) () ())) ()) |
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#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 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) #<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 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) #<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 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) #<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 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) #<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 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) #<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 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) #<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 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) #<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 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) #<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 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) #<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 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) #<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 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor 0 a) (#s(alt (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b) (patch (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b) #<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 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b) (patch (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b) #<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 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b) (patch (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b) #<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 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b) (patch (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (taylor inf a) (#s(alt (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b) (patch (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b) #<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 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b) (patch (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b) #<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 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b) (patch (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b) #<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 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b) (patch (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b) (patch (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b) #<representation binary64>) () ())) ()) |
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#s(alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) (taylor inf c) (#s(alt (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a))) (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (* 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))))) (taylor inf c) (#s(alt (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a))) (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ()) |
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#s(alt (* -3/8 (pow c 2)) (taylor inf c) (#s(alt (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (patch (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (pow c 2)) (taylor inf c) (#s(alt (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (patch (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (pow c 2)) (taylor inf c) (#s(alt (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (patch (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (pow c 2)) (taylor inf c) (#s(alt (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (patch (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (pow c 2)) (taylor -inf c) (#s(alt (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (patch (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (pow c 2)) (taylor -inf c) (#s(alt (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (patch (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (pow c 2)) (taylor -inf c) (#s(alt (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (patch (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (pow c 2)) (taylor -inf c) (#s(alt (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (patch (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ b a)) (taylor 0 b) (#s(alt (/.f64 b (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 b (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ b a)) (taylor 0 b) (#s(alt (/.f64 b (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 b (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ b a)) (taylor 0 b) (#s(alt (/.f64 b (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 b (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ b a)) (taylor 0 b) (#s(alt (/.f64 b (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 b (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ b a)) (taylor inf b) (#s(alt (/.f64 b (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 b (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ b a)) (taylor inf b) (#s(alt (/.f64 b (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 b (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ b a)) (taylor inf b) (#s(alt (/.f64 b (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 b (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ b a)) (taylor inf b) (#s(alt (/.f64 b (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 b (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ b a)) (taylor -inf b) (#s(alt (/.f64 b (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 b (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ b a)) (taylor -inf b) (#s(alt (/.f64 b (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 b (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ b a)) (taylor -inf b) (#s(alt (/.f64 b (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 b (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ b a)) (taylor -inf b) (#s(alt (/.f64 b (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 b (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ b a)) (taylor 0 a) (#s(alt (/.f64 b (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 b (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ b a)) (taylor 0 a) (#s(alt (/.f64 b (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 b (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ b a)) (taylor 0 a) (#s(alt (/.f64 b (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 b (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ b a)) (taylor 0 a) (#s(alt (/.f64 b (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 b (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ b a)) (taylor inf a) (#s(alt (/.f64 b (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 b (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ b a)) (taylor inf a) (#s(alt (/.f64 b (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 b (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ b a)) (taylor inf a) (#s(alt (/.f64 b (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 b (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ b a)) (taylor inf a) (#s(alt (/.f64 b (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 b (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ b a)) (taylor -inf a) (#s(alt (/.f64 b (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 b (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ b a)) (taylor -inf a) (#s(alt (/.f64 b (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 b (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ b a)) (taylor -inf a) (#s(alt (/.f64 b (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 b (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ b a)) (taylor -inf a) (#s(alt (/.f64 b (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 b (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
192 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 20.0ms | c | @ | inf | (/ (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b b))) (* 3 a)) |
| 20.0ms | a | @ | -inf | (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b b))) |
| 12.0ms | b | @ | inf | (/ (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b b))) (* 3 a)) |
| 7.0ms | b | @ | 0 | (/ (* (* c (* c c)) -9/16) (pow b 5)) |
| 5.0ms | b | @ | 0 | (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) |
| 1× | egg-herbie |
| 5 926× | lower-*.f64 |
| 5 926× | lower-*.f32 |
| 5 682× | lower-+.f64 |
| 5 682× | lower-+.f32 |
| 5 172× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1913 | 21638 |
| 1 | 5278 | 21436 |
| 0 | 8366 | 20680 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow b 6) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (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))) |
(* (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)))))) |
(* 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 (/ (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))) |
(* -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))))) |
(* -1/2 (/ 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))))))) |
(* 1/3 (* (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 (/ (* 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 (/ 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 (* (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 (* 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)))))))) |
(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))))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* a (- (+ (* -9/2 (/ (pow c 2) (pow b 3))) (* 9/4 (/ (pow c 2) (pow b 3)))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (- (+ (* -9/2 (/ (pow c 2) (pow b 3))) (+ (* 9/4 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ (* c (- (* -9/2 (/ (pow c 2) (pow b 2))) (* -9/8 (/ (pow c 2) (pow b 2))))) (pow b 3))) (* 3/4 (* b (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6)))))))))))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (- (+ (* -9/2 (/ (pow c 2) (pow b 3))) (+ (* 9/4 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ (* c (- (* -9/2 (/ (pow c 2) (pow b 2))) (* -9/8 (/ (pow c 2) (pow b 2))))) (pow b 3))) (+ (* 3/4 (* b (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))))) (* a (- (+ (* -81/8 (/ (pow c 4) (pow b 7))) (+ (* -1/2 (* b (* (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6)))) (- (* -9/2 (/ (pow c 2) (pow b 2))) (* -9/8 (/ (pow c 2) (pow b 2))))))) (+ (* 3/4 (* b (* c (+ (* 3/2 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))) (pow b 2))) (* 27 (/ (pow c 3) (pow b 8))))))) (* 81/32 (/ (pow c 4) (pow b 7)))))) (* -1/2 (/ (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6)))) b)))))))))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* (sqrt (/ a c)) (/ (* (sqrt 1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (pow b 2))) |
(* a (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (pow b 2))) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3)))))))))) |
(* a (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (pow b 2))) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3))))))))))) |
(* a (+ (* -1/2 (* (sqrt (/ c (pow a 7))) (/ (* (+ (* 1/324 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt 1/3) 2)))) (* 1/81 (/ (pow b 6) (pow c 4)))) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (* (pow b 2) (sqrt 1/3))))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (/ (* (pow b 2) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3)))))) (sqrt 1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (pow b 2))) (+ (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3))))))) (* (sqrt (/ 1 (* (pow a 9) c))) (* (sqrt 1/3) (- (* -1/8 (/ (pow b 8) (* (pow c 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 5) (pow (sqrt 3) 3)))))))))))))) |
(* -1 (* (sqrt (/ a c)) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) |
(* -1 (* a (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2))) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3)))))))))))) |
(* -1 (* a (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2))) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (/ (* (sqrt -1) (* (+ (* -1/324 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/3) 2)))) (* 1/81 (/ (pow b 6) (pow c 4)))) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (* (pow b 2) (sqrt -1/3))))) (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* -1/8 (/ (pow b 8) (* (pow c 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -3) 3)))))))))) a)) (* -1/54 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 2) (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2))) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))))))) |
(* -3/2 (/ (* a c) b)) |
(* c (+ (* -3/2 (/ a b)) (* c (- (+ (* -9/2 (/ (pow a 2) (pow b 3))) (* 9/4 (/ (pow a 2) (pow b 3)))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (- (+ (* -9/2 (/ (pow a 2) (pow b 3))) (+ (* 9/4 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (+ (* -3/2 (/ (* a (- (* -9/2 (/ (pow a 2) (pow b 2))) (* -9/8 (/ (pow a 2) (pow b 2))))) (pow b 3))) (* 3/4 (* a (* b (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))))))))))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (- (+ (* -9/2 (/ (pow a 2) (pow b 3))) (+ (* 9/4 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (+ (* -3/2 (/ (* a (- (* -9/2 (/ (pow a 2) (pow b 2))) (* -9/8 (/ (pow a 2) (pow b 2))))) (pow b 3))) (+ (* 3/4 (* a (* b (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))))) (* c (- (+ (* -81/8 (/ (pow a 4) (pow b 7))) (+ (* -1/2 (* b (* (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))) (- (* -9/2 (/ (pow a 2) (pow b 2))) (* -9/8 (/ (pow a 2) (pow b 2))))))) (+ (* 3/4 (* a (* b (+ (* 3/2 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))) (pow b 2))) (* 27 (/ (pow a 3) (pow b 8))))))) (* 81/32 (/ (pow a 4) (pow b 7)))))) (* -1/2 (/ (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6)))) b)))))))))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* (sqrt (/ c a)) (/ (* (sqrt 1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (pow b 2))) |
(* c (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (pow b 2))) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (pow b 3) (sqrt 3)))))))))) |
(* c (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (pow b 2))) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (pow b 3) (sqrt 3))))))))))) |
(* c (+ (* -1/2 (* (sqrt (/ a (pow c 7))) (/ (* (+ (* 1/324 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt 1/3) 2)))) (* 1/81 (/ (pow b 6) (pow a 4)))) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (* (pow b 2) (sqrt 1/3))))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (* (pow b 2) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (pow b 3) (sqrt 3)))))) (sqrt 1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (pow b 2))) (+ (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (pow b 3) (sqrt 3))))))) (* (sqrt (/ 1 (* a (pow c 9)))) (* (sqrt 1/3) (- (* -1/8 (/ (pow b 8) (* (pow a 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 5) (pow (sqrt 3) 3)))))))))))))) |
(* -1 (* (sqrt (/ c a)) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) |
(* -1 (* c (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2))) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3)))))))))))) |
(* -1 (* c (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (* (sqrt -1) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2))) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (/ (* (sqrt -1) (* (+ (* -1/324 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/3) 2)))) (* 1/81 (/ (pow b 6) (pow a 4)))) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (* (pow b 2) (sqrt -1/3))))) (+ (* -1/18 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* -1/8 (/ (pow b 8) (* (pow a 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -3) 3)))))))))) c)) (* -1/54 (* (sqrt (/ c (pow a 5))) (/ (* (pow b 2) (* (sqrt -1) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3))))) (pow c 3))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2))) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))))))) |
(* (sqrt (* a c)) (* (sqrt -9) (sqrt 1/3))) |
(+ (* -1 (* b (* (sqrt 1/3) (sqrt 3)))) (* (sqrt (* a c)) (* (sqrt -9) (sqrt 1/3)))) |
(+ (* b (+ (* -1 (* (sqrt 1/3) (sqrt 3))) (* -1/18 (* (sqrt (/ 1 (* a c))) (/ (* b (sqrt -9)) (sqrt 1/3)))))) (* (sqrt (* a c)) (* (sqrt -9) (sqrt 1/3)))) |
(+ (* b (+ (* -1 (* (sqrt 1/3) (sqrt 3))) (* b (+ (* -1/18 (* (sqrt (/ 1 (* a c))) (/ (sqrt -9) (sqrt 1/3)))) (* b (+ (* -1/2 (/ (sqrt 1/3) (* a (* c (sqrt 3))))) (* 1/18 (/ (sqrt 3) (* a (* c (sqrt 1/3))))))))))) (* (sqrt (* a c)) (* (sqrt -9) (sqrt 1/3)))) |
(* -3/2 (/ (* a c) b)) |
(/ (- (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -3/2 (* a c)) (* 9/4 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (- (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -3/2 (/ (* a (* c (- (* -9/2 (* (pow a 2) (pow c 2))) (* -9/8 (* (pow a 2) (pow c 2)))))) (pow b 4))) (+ (* 3/4 (/ (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))) (pow b 4))) (* 9/4 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (- (+ (* -81/8 (/ (* (pow a 4) (pow c 4)) (pow b 6))) (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -3/2 (/ (* a (* c (- (* -9/2 (* (pow a 2) (pow c 2))) (* -9/8 (* (pow a 2) (pow c 2)))))) (pow b 4))) (+ (* -1/2 (/ (* (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (- (* -9/2 (* (pow a 2) (pow c 2))) (* -9/8 (* (pow a 2) (pow c 2))))) (pow b 6))) (+ (* 3/4 (/ (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))) (pow b 4))) (+ (* 3/4 (/ (* a (* c (+ (* 3/2 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))))) (* 27 (* (pow a 3) (pow c 3)))))) (pow b 6))) (+ (* 9/4 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 81/32 (/ (* (pow a 4) (pow c 4)) (pow b 6)))))))))))) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))))) b) |
(* -2 b) |
(* -1 (* b (+ 2 (+ (* -3 (/ (* a c) (pow b 2))) (* 3/2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (- (+ 2 (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* -3 (/ (* a c) (pow b 2))) (+ (* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* -1 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2)))))))) (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* -1 (* b (- (+ 2 (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* -3 (/ (* a c) (pow b 2))) (+ (* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* -3/2 (/ (* a (* c (- (* -9/2 (* (pow a 2) (pow c 2))) (* 9/8 (* (pow a 2) (pow c 2)))))) (pow b 6))) (+ (* -1 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 4))) (+ (* -1 (/ (+ (* 3/2 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))))) (* 27 (* (pow a 3) (pow c 3)))) (pow b 6))) (+ (* -3/4 (/ (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))) (pow b 6))) (+ (* 3/2 (/ (* a c) (pow b 2))) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6)))))))))))) (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* -3/2 (* a (* (pow b 2) c))) |
(* a (- (* a (- (* -9/2 (pow c 2)) (* -9/8 (pow c 2)))) (* 3/2 (* (pow b 2) c)))) |
(* a (- (* a (- (+ (* -9/2 (pow c 2)) (* -27/16 (/ (* a (pow c 3)) (pow b 2)))) (* -9/8 (pow c 2)))) (* 3/2 (* (pow b 2) c)))) |
(* a (- (* a (- (+ (* -9/2 (pow c 2)) (* a (- (* a (- (* -81/8 (/ (pow c 4) (pow b 4))) (* -1/2 (* (pow b 2) (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6)))))))) (* 27/16 (/ (pow c 3) (pow b 2)))))) (* -9/8 (pow c 2)))) (* 3/2 (* (pow b 2) c)))) |
(* a (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) |
(* a (- (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 5) (sqrt 3)))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))))) |
(* a (- (+ (* -1/8 (/ (pow b 10) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 7) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 5) (sqrt 3)))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))))) |
(* a (- (+ (* -1/8 (/ (pow b 10) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 14) (* (pow a 6) (* (pow c 5) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 7) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 9) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 5) (sqrt 3)))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))))))) |
(* -1 (* a (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* a (- (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 5) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))))) |
(* -1 (* a (- (+ (* -1/8 (/ (pow b 10) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 7) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 5) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))))) |
(* -1 (* a (- (+ (* -1/8 (/ (pow b 10) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 14) (* (pow a 6) (* (pow c 5) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 7) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 9) (sqrt -1)) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 5) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))))))) |
(* -3/2 (* a (* (pow b 2) c))) |
(* c (- (* c (- (* -9/2 (pow a 2)) (* -9/8 (pow a 2)))) (* 3/2 (* a (pow b 2))))) |
(* c (- (* c (- (+ (* -9/2 (pow a 2)) (* -27/16 (/ (* (pow a 3) c) (pow b 2)))) (* -9/8 (pow a 2)))) (* 3/2 (* a (pow b 2))))) |
(* c (- (* c (- (+ (* -9/2 (pow a 2)) (* c (- (* c (- (* -81/8 (/ (pow a 4) (pow b 4))) (* -1/2 (* (pow b 2) (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6)))))))) (* 27/16 (/ (pow a 3) (pow b 2)))))) (* -9/8 (pow a 2)))) (* 3/2 (* a (pow b 2))))) |
(* c (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) |
(* c (- (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 5) (sqrt 3)))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))))) |
(* c (- (+ (* -1/8 (/ (pow b 10) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 7) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 5) (sqrt 3)))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))))) |
(* c (- (+ (* -1/8 (/ (pow b 10) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 14) (* (pow a 5) (* (pow c 6) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 7) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 9) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 5) (sqrt 3)))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))))))) |
(* -1 (* c (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* c (- (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 5) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))))) |
(* -1 (* c (- (+ (* -1/8 (/ (pow b 10) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 7) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 5) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))))) |
(* -1 (* c (- (+ (* -1/8 (/ (pow b 10) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 14) (* (pow a 5) (* (pow c 6) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 7) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 9) (sqrt -1)) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 5) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))))))) |
(* a (* (pow b 2) (* c (sqrt -9)))) |
(* (pow b 2) (+ (* -1 (* (sqrt (* a c)) (* b (sqrt 3)))) (* a (* c (sqrt -9))))) |
(* (pow b 2) (+ (* a (* c (sqrt -9))) (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (* a c)) (sqrt 3)))))) |
(* (pow b 2) (+ (* a (* c (sqrt -9))) (* b (- (* (pow b 2) (- (* 1/2 (/ b (* a (* c (sqrt -9))))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt 3)))))) (* (sqrt (* a c)) (sqrt 3)))))) |
(* -3/2 (* a (* (pow b 2) c))) |
(* (pow b 2) (- (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))))) |
(* (pow b 2) (- (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))))) |
(* (pow b 2) (- (+ (* -81/8 (/ (* (pow a 4) (pow c 4)) (pow b 6))) (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 3/2 (* a c)) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))))) |
(* 2 (pow b 4)) |
(* (pow b 4) (+ 2 (* 3/2 (/ (* a c) (pow b 2))))) |
(* (pow b 4) (- (+ 2 (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* (pow b 4) (- (+ 2 (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* 1/3 (* a (- (+ (* -9/2 (/ (pow c 2) (pow b 3))) (* 9/4 (/ (pow c 2) (pow b 3)))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* 1/3 (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ (* c (- (* -9/2 (/ (pow c 2) (pow b 2))) (* -9/8 (/ (pow c 2) (pow b 2))))) (pow b 3))) (* 3/4 (* b (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))))))))) (* 1/3 (- (+ (* -9/2 (/ (pow c 2) (pow b 3))) (* 9/4 (/ (pow c 2) (pow b 3)))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* 1/3 (- (+ (* -9/2 (/ (pow c 2) (pow b 3))) (* 9/4 (/ (pow c 2) (pow b 3)))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* a (+ (* 1/3 (* a (- (+ (* -81/8 (/ (pow c 4) (pow b 7))) (+ (* -1/2 (* b (* (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6)))) (- (* -9/2 (/ (pow c 2) (pow b 2))) (* -9/8 (/ (pow c 2) (pow b 2))))))) (+ (* 3/4 (* b (* c (+ (* 3/2 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))) (pow b 2))) (* 27 (/ (pow c 3) (pow b 8))))))) (* 81/32 (/ (pow c 4) (pow b 7)))))) (* -1/2 (/ (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6)))) b))))) (* 1/3 (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ (* c (- (* -9/2 (/ (pow c 2) (pow b 2))) (* -9/8 (/ (pow c 2) (pow b 2))))) (pow b 3))) (* 3/4 (* b (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))))))))))))) |
(* 1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (pow b 2)))) |
(+ (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (pow b 2)))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3)))))))) (pow a 2)))) |
(+ (* 1/162 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (sqrt 1/3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (pow b 2)))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3)))))))) (pow a 2))))) |
(+ (* 1/162 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (sqrt 1/3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (pow b 2)))) (+ (* 1/3 (/ (+ (* -1/2 (* (sqrt (* a c)) (/ (* (+ (* 1/324 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt 1/3) 2)))) (* 1/81 (/ (pow b 6) (pow c 4)))) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (* (pow b 2) (sqrt 1/3))))) (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3)))))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* -1/8 (/ (pow b 8) (* (pow c 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 5) (pow (sqrt 3) 3))))))))) (pow a 4))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3)))))))) (pow a 2)))))) |
(* -1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) |
(+ (* -1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) (* -1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow a 2)))) |
(+ (* -1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) (+ (* -1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow a 2))) (* -1/162 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))))) |
(+ (* -1 (/ (+ (* 1/162 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 2) (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (* 1/3 (/ (+ (* -1/2 (* (sqrt (* a c)) (/ (* (sqrt -1) (* (+ (* -1/324 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/3) 2)))) (* 1/81 (/ (pow b 6) (pow c 4)))) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (* (pow b 2) (sqrt -1/3))))) (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* -1/8 (/ (pow b 8) (* (pow c 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -3) 3)))))))))) a))) (pow a 3))) (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) (* -1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow a 2))))) |
(* -1/2 (/ c b)) |
(* c (- (* 1/3 (* c (- (+ (* -9/2 (/ a (pow b 3))) (* 9/4 (/ a (pow b 3)))) (* -9/8 (/ a (pow b 3)))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* 1/3 (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (+ (* -3/2 (/ (* a (- (* -9/2 (/ a (pow b 2))) (* -9/8 (/ a (pow b 2))))) (pow b 3))) (* 3/4 (* b (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))))))))) (* 1/3 (- (+ (* -9/2 (/ a (pow b 3))) (* 9/4 (/ a (pow b 3)))) (* -9/8 (/ a (pow b 3))))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* 1/3 (- (+ (* -9/2 (/ a (pow b 3))) (* 9/4 (/ a (pow b 3)))) (* -9/8 (/ a (pow b 3))))) (* c (+ (* 1/3 (* c (- (+ (* -81/8 (/ (pow a 3) (pow b 7))) (+ (* -1/2 (* b (* (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))) (- (* -9/2 (/ a (pow b 2))) (* -9/8 (/ a (pow b 2))))))) (+ (* 3/4 (* b (+ (* 3/2 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))) (pow b 2))) (* 27 (/ (pow a 3) (pow b 8)))))) (* 81/32 (/ (pow a 3) (pow b 7)))))) (* -1/2 (/ (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6)))) (* a b)))))) (* 1/3 (+ (* -27/16 (/ (pow a 2) (pow b 5))) (+ (* -3/2 (/ (* a (- (* -9/2 (/ a (pow b 2))) (* -9/8 (/ a (pow b 2))))) (pow b 3))) (* 3/4 (* b (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))))))))))) (* 1/2 (/ 1 b)))) |
(* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (sqrt 1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (pow b 2)))) |
(* c (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt 1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (pow b 2)))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 3) (sqrt 3)))))))) (pow c 2))))) |
(* c (+ (* 1/162 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 2) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (sqrt 1/3)))) (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt 1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (pow b 2)))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 3) (sqrt 3)))))))) (pow c 2)))))) |
(* c (+ (* 1/162 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 2) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (sqrt 1/3)))) (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt 1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (pow b 2)))) (+ (* 1/3 (/ (+ (* -1/2 (* (sqrt (/ c a)) (/ (* (+ (* 1/324 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt 1/3) 2)))) (* 1/81 (/ (pow b 6) (pow a 4)))) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (* (pow b 2) (sqrt 1/3))))) (+ (* -1/18 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 3) (sqrt 3)))))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* -1/8 (/ (pow b 8) (* (pow a 4) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 5) (pow (sqrt 3) 3))))))))) (pow c 4))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 3) (sqrt 3)))))))) (pow c 2))))))) |
(* -1/3 (* (sqrt (/ c (pow a 3))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow c 2)))))) |
(* -1 (* c (+ (* 1/162 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 2) (* (sqrt -1) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow c 2))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ (+ (* -1/2 (* (sqrt (/ c a)) (/ (* (sqrt -1) (* (+ (* -1/324 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/3) 2)))) (* 1/81 (/ (pow b 6) (pow a 4)))) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (* (pow b 2) (sqrt -1/3))))) (+ (* -1/18 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* -1/8 (/ (pow b 8) (* (pow a 4) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -3) 3)))))))))) c)) (* -1/162 (* (sqrt (/ c (pow a 7))) (/ (* (pow b 2) (* (sqrt -1) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3))))) (pow c 3))) (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow c 2))))))) |
(* 1/3 (* (sqrt (/ c a)) (* (sqrt -9) (sqrt 1/3)))) |
(+ (* -1/3 (/ (* b (* (sqrt 1/3) (sqrt 3))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -9) (sqrt 1/3))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -9) (sqrt 1/3)))) (* b (+ (* -1/3 (/ (* (sqrt 1/3) (sqrt 3)) a)) (* -1/54 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b (sqrt -9)) (sqrt 1/3))))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -9) (sqrt 1/3)))) (* b (+ (* -1/3 (/ (* (sqrt 1/3) (sqrt 3)) a)) (* b (+ (* -1/54 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (sqrt -9) (sqrt 1/3)))) (* 1/3 (* b (+ (* -1/2 (/ (sqrt 1/3) (* (pow a 2) (* c (sqrt 3))))) (* 1/18 (/ (sqrt 3) (* (pow a 2) (* c (sqrt 1/3))))))))))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* 1/3 (/ (- (+ (* -9/2 (* a (pow c 2))) (* 9/4 (* a (pow c 2)))) (* -9/8 (* a (pow c 2)))) (pow b 2)))) b) |
(/ (+ (* -1/2 c) (+ (* 1/3 (/ (+ (* -27/16 (* (pow a 2) (pow c 3))) (+ (* -3/2 (* a (* c (- (* -9/2 (* a (pow c 2))) (* -9/8 (* a (pow c 2))))))) (* 3/4 (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))))) (pow b 4))) (* 1/3 (/ (- (+ (* -9/2 (* a (pow c 2))) (* 9/4 (* a (pow c 2)))) (* -9/8 (* a (pow c 2)))) (pow b 2))))) b) |
(/ (+ (* -1/2 c) (+ (* 1/3 (/ (+ (* -27/16 (* (pow a 2) (pow c 3))) (+ (* -3/2 (* a (* c (- (* -9/2 (* a (pow c 2))) (* -9/8 (* a (pow c 2))))))) (* 3/4 (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))))) (pow b 4))) (+ (* 1/3 (/ (- (+ (* -81/8 (* (pow a 3) (pow c 4))) (+ (* -1/2 (* (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (- (* -9/2 (* a (pow c 2))) (* -9/8 (* a (pow c 2)))))) (+ (* 3/4 (* c (+ (* 3/2 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))))) (* 27 (* (pow a 3) (pow c 3)))))) (* 81/32 (* (pow a 3) (pow c 4)))))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) a))) (pow b 6))) (* 1/3 (/ (- (+ (* -9/2 (* a (pow c 2))) (* 9/4 (* a (pow c 2)))) (* -9/8 (* a (pow c 2)))) (pow b 2)))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* 1/3 (/ (+ (* -3 c) (* 3/2 c)) (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* 1/3 (/ (+ (* -3 c) (* 3/2 c)) (pow b 2))) (+ (* 1/3 (/ (- (+ (* -9/2 (* a (pow c 2))) (+ (* -9/4 (* a (pow c 2))) (* -1 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) a)))) (* 9/8 (* a (pow c 2)))) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* 1/3 (/ (+ (* -3 c) (* 3/2 c)) (pow b 2))) (+ (* 1/3 (/ (+ (* -3/2 (* a (* c (- (* -9/2 (* a (pow c 2))) (* 9/8 (* a (pow c 2))))))) (+ (* -1 (/ (+ (* 3/2 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))))) (* 27 (* (pow a 3) (pow c 3)))) a)) (+ (* -3/4 (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))) (* 27/16 (* (pow a 2) (pow c 3)))))) (pow b 6))) (+ (* 1/3 (/ (- (+ (* -9/2 (* a (pow c 2))) (+ (* -9/4 (* a (pow c 2))) (* -1 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) a)))) (* 9/8 (* a (pow c 2)))) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(pow b 4) |
(+ (* -9/2 (* (pow a 2) (pow c 2))) (pow b 4)) |
(+ (* (pow a 2) (+ (* -81/8 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (* -9/2 (pow c 2)))) (pow b 4)) |
(+ (* (pow a 2) (+ (* -9/2 (pow c 2)) (* (pow a 2) (+ (* -729/16 (/ (* (pow a 2) (pow c 6)) (pow b 8))) (* -81/8 (/ (pow c 4) (pow b 4))))))) (pow b 4)) |
(* a (* (pow b 2) (* c (sqrt -9)))) |
(* a (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9))))) |
(* a (+ (* -1/8 (/ (pow b 10) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9)))))) |
(* a (+ (* -1/8 (/ (pow b 10) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 14) (* (pow a 6) (* (pow c 5) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9))))))) |
(* -1 (* a (* (pow b 2) (* c (sqrt -9))))) |
(* -1 (* a (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9)))))) |
(* -1 (* a (+ (* -1/8 (/ (pow b 10) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9))))))) |
(* -1 (* a (+ (* -1/8 (/ (pow b 10) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 14) (* (pow a 6) (* (pow c 5) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9)))))))) |
(pow b 4) |
(+ (* -9/2 (* (pow a 2) (pow c 2))) (pow b 4)) |
(+ (* (pow c 2) (+ (* -81/8 (/ (* (pow a 4) (pow c 2)) (pow b 4))) (* -9/2 (pow a 2)))) (pow b 4)) |
(+ (* (pow c 2) (+ (* -9/2 (pow a 2)) (* (pow c 2) (+ (* -729/16 (/ (* (pow a 6) (pow c 2)) (pow b 8))) (* -81/8 (/ (pow a 4) (pow b 4))))))) (pow b 4)) |
(* a (* (pow b 2) (* c (sqrt -9)))) |
(* c (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9))))) |
(* c (+ (* -1/8 (/ (pow b 10) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9)))))) |
(* c (+ (* -1/8 (/ (pow b 10) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 14) (* (pow a 5) (* (pow c 6) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9))))))) |
(* -1 (* a (* (pow b 2) (* c (sqrt -9))))) |
(* -1 (* c (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9)))))) |
(* -1 (* c (+ (* -1/8 (/ (pow b 10) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9))))))) |
(* -1 (* c (+ (* -1/8 (/ (pow b 10) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 14) (* (pow a 5) (* (pow c 6) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9)))))))) |
(* a (* (pow b 2) (* c (sqrt -9)))) |
(* (pow b 2) (+ (* 1/2 (/ (pow b 4) (* a (* c (sqrt -9))))) (* a (* c (sqrt -9))))) |
(* (pow b 2) (+ (* a (* c (sqrt -9))) (* (pow b 4) (+ (* -1/8 (/ (pow b 4) (* (pow a 3) (* (pow c 3) (pow (sqrt -9) 3))))) (* 1/2 (/ 1 (* a (* c (sqrt -9))))))))) |
(* (pow b 2) (+ (* a (* c (sqrt -9))) (* (pow b 4) (+ (* (pow b 4) (- (* 1/16 (/ (pow b 4) (* (pow a 5) (* (pow c 5) (pow (sqrt -9) 5))))) (* 1/8 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -9) 3))))))) (* 1/2 (/ 1 (* a (* c (sqrt -9))))))))) |
(pow b 4) |
(* (pow b 4) (+ 1 (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) |
(* (pow b 4) (+ 1 (+ (* -81/8 (/ (* (pow a 4) (pow c 4)) (pow b 8))) (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* (pow b 4) (+ 1 (+ (* -729/16 (/ (* (pow a 6) (pow c 6)) (pow b 12))) (+ (* -81/8 (/ (* (pow a 4) (pow c 4)) (pow b 8))) (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(pow b 4) |
(* (pow b 4) (+ 1 (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) |
(* (pow b 4) (+ 1 (+ (* -81/8 (/ (* (pow a 4) (pow c 4)) (pow b 8))) (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* (pow b 4) (+ 1 (+ (* -729/16 (/ (* (pow a 6) (pow c 6)) (pow b 12))) (+ (* -81/8 (/ (* (pow a 4) (pow c 4)) (pow b 8))) (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -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)) |
(* -3/8 (pow c 2)) |
(* -3/8 (pow c 2)) |
(* -3/8 (pow c 2)) |
(* -3/8 (pow c 2)) |
(* -3/8 (pow c 2)) |
(* -3/8 (pow c 2)) |
(* -3/8 (pow c 2)) |
(* -3/8 (pow c 2)) |
(* -3/8 (pow c 2)) |
(* -3/8 (pow c 2)) |
(* -3/8 (pow c 2)) |
(* -3/8 (pow c 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)) |
| Outputs |
|---|
(pow b 6) |
(pow.f64 b #s(literal 6 binary64)) |
(pow b 6) |
(pow.f64 b #s(literal 6 binary64)) |
(pow b 6) |
(pow.f64 b #s(literal 6 binary64)) |
(pow b 6) |
(pow.f64 b #s(literal 6 binary64)) |
(pow b 6) |
(pow.f64 b #s(literal 6 binary64)) |
(pow b 6) |
(pow.f64 b #s(literal 6 binary64)) |
(pow b 6) |
(pow.f64 b #s(literal 6 binary64)) |
(pow b 6) |
(pow.f64 b #s(literal 6 binary64)) |
(pow b 6) |
(pow.f64 b #s(literal 6 binary64)) |
(pow b 6) |
(pow.f64 b #s(literal 6 binary64)) |
(pow b 6) |
(pow.f64 b #s(literal 6 binary64)) |
(pow b 6) |
(pow.f64 b #s(literal 6 binary64)) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
(+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))) |
(fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) a) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) |
(+ (* -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 a (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64)))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 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 a (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64)))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (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 (*.f64 a a) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -135/128 binary64) (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)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(*.f64 (*.f64 a a) (fma.f64 #s(literal -135/128 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 (*.f64 a a) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c))) (*.f64 a (pow.f64 b #s(literal 5 binary64))))))) |
(* (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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(*.f64 b b) |
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(/.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))) |
(* -3/8 (pow c 2)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 c c)) |
(* -3/8 (pow c 2)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 c c)) |
(* -3/8 (pow c 2)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 c c)) |
(* -3/8 (pow c 2)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 c c)) |
(* -3/8 (pow c 2)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 c c)) |
(* -3/8 (pow c 2)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 c c)) |
(* -3/8 (pow c 2)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 c c)) |
(* -3/8 (pow c 2)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 c c)) |
(* -3/8 (pow c 2)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 c c)) |
(* -3/8 (pow c 2)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 c c)) |
(* -3/8 (pow c 2)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 c c)) |
(* -3/8 (pow c 2)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 c c)) |
(* 1/3 (/ b a)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 b a)) |
(* 1/3 (/ b a)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 b a)) |
(* 1/3 (/ b a)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 b a)) |
(* 1/3 (/ b a)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 b a)) |
(* 1/3 (/ b a)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 b a)) |
(* 1/3 (/ b a)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 b a)) |
(* 1/3 (/ b a)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 b a)) |
(* 1/3 (/ b a)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 b a)) |
(* 1/3 (/ b a)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 b a)) |
(* 1/3 (/ b a)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 b a)) |
(* 1/3 (/ b a)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 b a)) |
(* 1/3 (/ b a)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 b a)) |
(* 1/3 (/ b a)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 b a)) |
(* 1/3 (/ b a)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 b a)) |
(* 1/3 (/ b a)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 b a)) |
(* 1/3 (/ b a)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 b a)) |
(* 1/3 (/ b a)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 b a)) |
(* 1/3 (/ b a)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 b a)) |
(* 1/3 (/ b a)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 b a)) |
(* 1/3 (/ b a)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 b a)) |
(* 1/3 (/ b a)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 b a)) |
(* 1/3 (/ b a)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 b a)) |
(* 1/3 (/ b a)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 b a)) |
(* 1/3 (/ b a)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 b a)) |
| 4 932× | lower-*.f32 |
| 4 894× | lower-*.f64 |
| 3 600× | lower-fma.f32 |
| 3 586× | lower-fma.f64 |
| 2 962× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 501 |
| 0 | 123 | 471 |
| 1 | 482 | 441 |
| 2 | 4123 | 405 |
| 0 | 8225 | 405 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 b #s(literal 6 binary64)) |
(/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) |
(fma.f64 a (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) |
(fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(/.f64 c b) |
(fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) |
(/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) |
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) |
(-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b))) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(*.f64 (*.f64 c c) #s(literal -3/8 binary64)) |
(/.f64 b (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
(exp.f64 (*.f64 #s(literal 6 binary64) (log.f64 b))) |
(exp.f64 (*.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 b)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 b (*.f64 b b))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 b) #s(literal 3 binary64)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 b) #s(literal 3 binary64) (*.f64 (log.f64 (neg.f64 b)) #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (neg.f64 b)) #s(literal 3 binary64) (*.f64 (log.f64 b) #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 (log.f64 b) #s(literal 3 binary64) (*.f64 (log.f64 b) #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (neg.f64 b)) #s(literal 3 binary64) (*.f64 (log.f64 (neg.f64 b)) #s(literal 3 binary64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) |
(neg.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) |
(pow.f64 b #s(literal 6 binary64)) |
(pow.f64 (*.f64 b b) #s(literal 3 binary64)) |
(pow.f64 (*.f64 b (*.f64 b b)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 b) #s(literal 6 binary64)) |
(pow.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 3/2 binary64)) |
(pow.f64 (*.f64 b (neg.f64 b)) #s(literal 3 binary64)) |
(pow.f64 (exp.f64 #s(literal 6 binary64)) (log.f64 b)) |
(*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) |
(*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) b) |
(*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) |
(*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b b)) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) #s(literal 3 binary64)) (*.f64 b (*.f64 b b))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 b (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b))) |
(/.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) b) |
(/.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (neg.f64 b)) |
(/.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (neg.f64 (neg.f64 b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 b (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 b (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) |
(/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(/.f64 (*.f64 (neg.f64 (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 c (*.f64 c (*.f64 c c)))) b)) |
(/.f64 (*.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1 binary64)) b) |
(/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (/.f64 (*.f64 #s(literal 405/64 binary64) a) b)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) |
(/.f64 (*.f64 (neg.f64 (*.f64 c (*.f64 c (*.f64 c c)))) (/.f64 (*.f64 #s(literal 405/64 binary64) a) b)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 405/64 binary64) a) b)) (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 c (*.f64 c (*.f64 c c))))) |
(/.f64 (*.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (/.f64 #s(literal 1 binary64) b)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal -1 binary64)) b) |
(pow.f64 (*.f64 (/.f64 b (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (/.f64 b (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 #s(literal 405/64 binary64) a) b))) |
(*.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 #s(literal 405/64 binary64) a) b)) |
(*.f64 (*.f64 #s(literal 405/64 binary64) a) (*.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 (*.f64 #s(literal 405/64 binary64) a) (/.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) b)) |
(*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (neg.f64 b))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b))) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 a b)) |
(*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 a (/.f64 #s(literal 1 binary64) b))) |
(*.f64 (/.f64 (*.f64 #s(literal 405/64 binary64) a) b) (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(+.f64 (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b))) (*.f64 a (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))))) |
(+.f64 (*.f64 a (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64)))) (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) |
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(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) a) #s(literal 3 binary64)) |
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(pow.f64 (/.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 1/3 binary64))) #s(literal -1 binary64)) |
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(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))) |
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(*.f64 (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)))) |
(*.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) a)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) #s(literal -1 binary64))) |
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(/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 a #s(literal -3 binary64))) |
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(/.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) a) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1 binary64)) (*.f64 a #s(literal 3 binary64))) |
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(/.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64))) (neg.f64 a)) |
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(pow.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 a (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64))) #s(literal -1 binary64)) |
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(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) |
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) |
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(/.f64 (sqrt.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b (neg.f64 b))))) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b (neg.f64 b))))) |
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(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
(+.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))) (*.f64 b b)) |
(exp.f64 (log.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal 3 binary64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 27 binary64))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))) |
(-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 c c))) #s(literal 9 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) |
(-.f64 (/.f64 (*.f64 a (*.f64 (*.f64 c #s(literal -3 binary64)) (*.f64 c (*.f64 a #s(literal -3 binary64))))) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b (neg.f64 b)))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b (neg.f64 b))))) |
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(fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
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(fma.f64 (*.f64 a #s(literal 3 binary64)) (neg.f64 c) (*.f64 b b)) |
(fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) |
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)) |
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(fma.f64 #s(literal -1 binary64) (*.f64 c (*.f64 a #s(literal 3 binary64))) (*.f64 b b)) |
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(fma.f64 (neg.f64 (*.f64 c a)) #s(literal 3 binary64) (*.f64 b b)) |
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(/.f64 (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (pow.f64 b #s(literal 5/2 binary64))) (pow.f64 b #s(literal 5/2 binary64))) |
(pow.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) |
(*.f64 c (*.f64 (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) |
(*.f64 c (/.f64 (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) |
(*.f64 (*.f64 c c) (*.f64 c (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) |
(*.f64 (*.f64 c (*.f64 c c)) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) |
(*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c (*.f64 c c)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) |
(*.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) |
(*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) |
(*.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal 9/16 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64)))) |
(*.f64 (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 c (*.f64 c c))) |
(*.f64 (/.f64 c (pow.f64 b #s(literal 5/2 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5/2 binary64)))) |
(*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5/2 binary64))) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5/2 binary64)))) |
(*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5/2 binary64))) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 c #s(literal -3/8 binary64))))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) |
(/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b))) |
(/.f64 (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b b)) b) |
(/.f64 (*.f64 (*.f64 c c) #s(literal 3/8 binary64)) (*.f64 b (*.f64 b b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 c #s(literal -3/8 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 c #s(literal -3/8 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) b)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 c #s(literal -3/8 binary64)))))) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) b)) (*.f64 b b)) |
(/.f64 (*.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) #s(literal 1 binary64)) (*.f64 b (*.f64 b b))) |
(/.f64 (neg.f64 (*.f64 (*.f64 c c) #s(literal 3/8 binary64))) (*.f64 b (*.f64 b b))) |
(/.f64 (neg.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) b))) (*.f64 b (neg.f64 b))) |
(/.f64 (*.f64 (/.f64 (*.f64 c c) b) #s(literal -3/8 binary64)) (*.f64 b b)) |
(pow.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 c #s(literal -3/8 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 c #s(literal -3/8 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) b))) #s(literal -1 binary64)) |
(*.f64 c (*.f64 c (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))))) |
(*.f64 c (*.f64 (*.f64 c #s(literal -3/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b))))) |
(*.f64 c (/.f64 (*.f64 c #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) |
(*.f64 (*.f64 c c) (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b)))) |
(*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b)))) |
(*.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 c c) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b))))) |
(*.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b)))) |
(*.f64 (/.f64 c b) (/.f64 (*.f64 c #s(literal -3/8 binary64)) (*.f64 b b))) |
(*.f64 (*.f64 (*.f64 c c) #s(literal 3/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b)))) |
(*.f64 (/.f64 (*.f64 c c) b) (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) |
(*.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 (*.f64 c c) (*.f64 b b))) |
(*.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (/.f64 (*.f64 c c) b)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (*.f64 c #s(literal -3/8 binary64)))) |
(*.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) b)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(*.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c c)) |
(*.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 c #s(literal -3/8 binary64)) b)) |
(*.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 #s(literal -3/8 binary64) b)) |
(exp.f64 (-.f64 (*.f64 #s(literal 4 binary64) (log.f64 c)) (*.f64 #s(literal 6 binary64) (log.f64 b)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 c (*.f64 c (*.f64 c c))))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (-.f64 (*.f64 #s(literal 6 binary64) (log.f64 b)) (*.f64 #s(literal 4 binary64) (log.f64 c))) #s(literal -1 binary64))) |
(exp.f64 (fma.f64 #s(literal 4 binary64) (log.f64 c) (neg.f64 (*.f64 #s(literal 6 binary64) (log.f64 b))))) |
(exp.f64 (+.f64 (neg.f64 (*.f64 #s(literal 6 binary64) (log.f64 b))) (*.f64 #s(literal 4 binary64) (log.f64 c)))) |
(exp.f64 (neg.f64 (-.f64 (*.f64 #s(literal 6 binary64) (log.f64 b)) (*.f64 #s(literal 4 binary64) (log.f64 c))))) |
(exp.f64 (-.f64 (*.f64 #s(literal 4 binary64) (log.f64 c)) (*.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)) #s(literal 3 binary64)))) |
(neg.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) |
(/.f64 (neg.f64 (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 c (*.f64 c (*.f64 c c))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 c (*.f64 c (*.f64 c c)))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 c (*.f64 c (*.f64 c c)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 c (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) |
(/.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b b))) |
(/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) |
(pow.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 c (*.f64 c (*.f64 c c)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 c (*.f64 c (*.f64 c c)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(*.f64 (*.f64 c c) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(*.f64 (neg.f64 (*.f64 c (*.f64 c (*.f64 c c)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 c (*.f64 c (*.f64 c c)))) |
(*.f64 (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b)))) |
(*.f64 c (*.f64 c #s(literal -3/8 binary64))) |
(*.f64 (*.f64 c c) #s(literal -3/8 binary64)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 c c)) |
(*.f64 (*.f64 c #s(literal -3/8 binary64)) c) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) b)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal -3 binary64))) (/.f64 b (*.f64 a #s(literal -3 binary64)))) |
(neg.f64 (/.f64 b (*.f64 a #s(literal -3 binary64)))) |
(/.f64 b (*.f64 a #s(literal 3 binary64))) |
(/.f64 (neg.f64 b) (*.f64 a #s(literal -3 binary64))) |
(/.f64 (*.f64 b #s(literal 1 binary64)) (*.f64 a #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) b) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal 1/3 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) b))) |
(/.f64 (*.f64 b #s(literal 1/3 binary64)) a) |
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (*.f64 a #s(literal -3 binary64)))) |
(/.f64 (neg.f64 (*.f64 b #s(literal 1/3 binary64))) (neg.f64 a)) |
(/.f64 (/.f64 b a) #s(literal 3 binary64)) |
(pow.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) b) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) b) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 a (*.f64 b #s(literal 1/3 binary64))) #s(literal -1 binary64)) |
(*.f64 b (/.f64 #s(literal 1/3 binary64) a)) |
(*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) b) |
(*.f64 #s(literal -1 binary64) (/.f64 b (*.f64 a #s(literal -3 binary64)))) |
(*.f64 (*.f64 b #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) a)) |
Compiled 71 974 to 4 450 computations (93.8% saved)
62 alts after pruning (59 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 501 | 44 | 1 545 |
| Fresh | 7 | 15 | 22 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 510 | 62 | 1 572 |
| Status | Accuracy | Program |
|---|---|---|
| 32.3% | (fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (/.f64 b (*.f64 a #s(literal -3 binary64)))) | |
| 32.3% | (fma.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 a #s(literal -3 binary64)))) | |
| 30.0% | (fma.f64 (neg.f64 b) (/.f64 #s(literal 1/3 binary64) a) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 a #s(literal 3 binary64)))) | |
| 30.1% | (/.f64 (fma.f64 (/.f64 (*.f64 b (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)))))) (*.f64 b b)) (/.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) (neg.f64 (*.f64 b #s(literal 1 binary64)))) (*.f64 #s(literal 3 binary64) a)) | |
| 31.4% | (/.f64 (fma.f64 (/.f64 (*.f64 b (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)))))) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) (/.f64 b (*.f64 b b)) (neg.f64 (*.f64 b #s(literal 1 binary64)))) (*.f64 #s(literal 3 binary64) a)) | |
| 30.1% | (/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64))))) (*.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))) (/.f64 (*.f64 b b) b) (neg.f64 (*.f64 b #s(literal 1 binary64)))) (*.f64 #s(literal 3 binary64) a)) | |
| 31.5% | (/.f64 (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 a #s(literal -3 binary64)) b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) | |
| 31.8% | (/.f64 (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (neg.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) (*.f64 b (*.f64 b (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)))))))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) | |
| 31.5% | (/.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 a #s(literal -3 binary64)) b)) (*.f64 a #s(literal 3 binary64))) (*.f64 a #s(literal 3 binary64))) | |
| 29.5% | (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64))))))) (*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) (*.f64 (*.f64 b (*.f64 b b)) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) (*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)) | |
| ✓ | 30.2% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) |
| 30.4% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) a) #s(literal 3 binary64)) | |
| 30.1% | (/.f64 (/.f64 (*.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64))))) (*.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) | |
| 95.0% | (/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 c (fma.f64 c (fma.f64 #s(literal -9/2 binary64) (*.f64 a a) (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) c) (*.f64 b b)) (*.f64 #s(literal 9/8 binary64) (*.f64 a a)))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 b b)))))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) | |
| 94.9% | (/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 a (fma.f64 a (fma.f64 #s(literal -9/2 binary64) (*.f64 c c) (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (*.f64 #s(literal 9/8 binary64) (*.f64 c c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 b b) c))))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) | |
| 30.7% | (/.f64 (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b))) | |
| 30.9% | (/.f64 (-.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)) | |
| 31.4% | (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (/.f64 (*.f64 a #s(literal 3 binary64)) b)) (*.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 (*.f64 a #s(literal 3 binary64)) b))) | |
| ▶ | 31.1% | (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 a #s(literal 3 binary64))) (*.f64 a b)) (*.f64 a (*.f64 a #s(literal 3 binary64)))) |
| 29.7% | (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) a) (*.f64 a (*.f64 b #s(literal 1/3 binary64)))) (*.f64 a a)) | |
| 30.1% | (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (/.f64 (*.f64 a #s(literal 3 binary64)) b)) (*.f64 (*.f64 a #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 a #s(literal 3 binary64)) b))) | |
| 29.8% | (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 a #s(literal -3 binary64))) (*.f64 (*.f64 a #s(literal 3 binary64)) (neg.f64 b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (*.f64 a #s(literal -3 binary64)))) | |
| 30.0% | (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 b #s(literal 1/3 binary64))) a) | |
| 31.0% | (/.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))))) | |
| 30.0% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3 binary64))) (*.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b)) (*.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 a #s(literal 3 binary64)))) | |
| 30.4% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a)) | |
| 30.5% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a)) | |
| 30.4% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 a (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a)))))) (*.f64 #s(literal 3 binary64) a)) | |
| 31.0% | (/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) | |
| 30.4% | (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 1/3 binary64)) a) | |
| 30.4% | (/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64)) | |
| 82.1% | (/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b b))) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) (*.f64 #s(literal 3 binary64) a)) | |
| 82.1% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 96.7% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 92.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 30.7% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))))) |
| 30.4% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b))) | |
| 29.3% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) b)) | |
| 29.4% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) | |
| 31.5% | (*.f64 (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 a #s(literal -3 binary64)) b)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) | |
| 30.4% | (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) | |
| 30.7% | (*.f64 (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)))) | |
| 30.4% | (*.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) a)) | |
| ▶ | 30.4% | (*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
| 92.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 c (/.f64 #s(literal -1/2 binary64) b) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b))))) | |
| 97.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 c (/.f64 #s(literal -1/2 binary64) b) (*.f64 a (fma.f64 c (*.f64 c (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b)))) (*.f64 a (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64)))))))) | |
| ▶ | 97.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
| 94.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64)))))) | |
| 95.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a #s(approx (+ (* a (+ (* (/ (* (/ (pow c 4) (pow b 6)) (* 405/64 a)) b) -1/6) (/ (* (* c (* c c)) -9/16) (pow b 5)))) (/ (* (* c c) -3/8) (* b (* b b)))) (/.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 c c) (/.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) a) (*.f64 c (*.f64 c c))) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) | |
| 95.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64)))) b)) | |
| ✓ | 92.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) |
| 97.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))))) b)) | |
| 92.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) (*.f64 (*.f64 c c) (fma.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) c)))) b)) | |
| 92.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal -1/2 binary64)))) b)) | |
| 92.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) (*.f64 a (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 (*.f64 #s(literal -1/2 binary64) c) a)))) b)) | |
| 82.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) | |
| 95.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 c (fma.f64 (*.f64 a a) (*.f64 (/.f64 c (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b)))) | |
| 97.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 a b)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b)))) | |
| 92.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))) | |
| ▶ | 82.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
| ✓ | 82.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
| 92.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (/.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c))) (*.f64 b (*.f64 b b))))) |
Compiled 4 005 to 2 144 computations (46.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) | |
| cost-diff | 128 | (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) | |
| cost-diff | 384 | (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64))))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) | |
| cost-diff | 320 | (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 a #s(literal 3 binary64))) (*.f64 a b)) | |
| cost-diff | 640 | (*.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 a #s(literal 3 binary64))) | |
| cost-diff | 640 | (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 a #s(literal 3 binary64))) (*.f64 a b)) (*.f64 a (*.f64 a #s(literal 3 binary64)))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) | |
| cost-diff | 0 | (*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) | |
| cost-diff | 128 | (neg.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) | |
| cost-diff | 320 | (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) b) | |
| cost-diff | 0 | (*.f64 c (/.f64 #s(literal -1/2 binary64) b)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) | |
| cost-diff | 320 | (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64)) | |
| cost-diff | 320 | (fma.f64 a (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) | |
| cost-diff | 1472 | (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) |
| 6 586× | lower-*.f32 |
| 6 532× | lower-*.f64 |
| 5 102× | lower-fma.f32 |
| 5 094× | lower-fma.f64 |
| 3 888× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 851 |
| 0 | 125 | 762 |
| 1 | 276 | 684 |
| 2 | 916 | 639 |
| 3 | 4739 | 629 |
| 4 | 7608 | 629 |
| 0 | 8452 | 622 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(fma.f64 a (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
a |
(fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) |
(fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) |
c |
(*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) |
(*.f64 c c) |
(/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) |
#s(literal -9/16 binary64) |
(*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) |
(*.f64 b b) |
b |
(*.f64 b (*.f64 b b)) |
(*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64)) |
(/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) |
(*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) |
(*.f64 c (*.f64 c (*.f64 c c))) |
(*.f64 c (*.f64 c c)) |
(*.f64 #s(literal 405/64 binary64) a) |
#s(literal 405/64 binary64) |
(*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b) |
(*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) |
(*.f64 b (*.f64 b (*.f64 b b))) |
#s(literal -1/6 binary64) |
(/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b))) |
(*.f64 c (*.f64 c #s(literal -3/8 binary64))) |
(*.f64 c #s(literal -3/8 binary64)) |
#s(literal -3/8 binary64) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
#s(literal -1/2 binary64) |
(/.f64 c b) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b)) |
c |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
b |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
(neg.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) |
(-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) |
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) |
c |
(*.f64 a #s(literal -3 binary64)) |
a |
#s(literal -3 binary64) |
(*.f64 b b) |
b |
(/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))) |
#s(literal 1 binary64) |
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 a #s(literal 3 binary64))) (*.f64 a b)) (*.f64 a (*.f64 a #s(literal 3 binary64)))) |
(-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 a #s(literal 3 binary64))) (*.f64 a b)) |
(*.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 a #s(literal 3 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) |
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) |
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) |
c |
(*.f64 a #s(literal -3 binary64)) |
a |
#s(literal -3 binary64) |
(*.f64 b b) |
b |
#s(literal 1/3 binary64) |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 a b) |
(*.f64 a (*.f64 a #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))))) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) |
(/.f64 #s(literal 1/3 binary64) a) |
#s(literal 1/3 binary64) |
a |
(+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) |
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) |
c |
(*.f64 a #s(literal -3 binary64)) |
#s(literal -3 binary64) |
(*.f64 b b) |
b |
(-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) |
(/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) |
(*.f64 (*.f64 a a) #s(literal 9 binary64)) |
(*.f64 a a) |
#s(literal 9 binary64) |
(/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a #s(literal -135/128 binary64)) b) (/.f64 #s(literal -9/16 binary64) b))) (*.f64 a a) (*.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 a (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(fma.f64 (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a #s(literal -135/128 binary64)) b) (/.f64 #s(literal -9/16 binary64) b))) (*.f64 a a) (*.f64 (/.f64 c b) (fma.f64 a (*.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) |
a |
(fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) |
(fma.f64 a (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a #s(literal -135/128 binary64)) b) (/.f64 #s(literal -9/16 binary64) b))) (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) |
(fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) |
(*.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a #s(literal -135/128 binary64)) b) (/.f64 #s(literal -9/16 binary64) b))) |
c |
(*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) |
(/.f64 (*.f64 c (*.f64 c #s(literal -9/16 binary64))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b b)))) |
(*.f64 c c) |
(/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) |
(/.f64 #s(literal -9/16 binary64) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b b)))) |
#s(literal -9/16 binary64) |
(*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) |
(*.f64 b (*.f64 (*.f64 b b) (*.f64 b b))) |
(*.f64 b b) |
b |
(*.f64 b (*.f64 b b)) |
(*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c (*.f64 c c)))) #s(literal -135/128 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 b b)))) |
(/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) |
(/.f64 (*.f64 (*.f64 c c) (*.f64 a (*.f64 c (*.f64 c #s(literal 405/64 binary64))))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 b b)))) |
(*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) |
(*.f64 (*.f64 c c) (*.f64 a (*.f64 c (*.f64 c #s(literal 405/64 binary64))))) |
(*.f64 c (*.f64 c (*.f64 c c))) |
(*.f64 c (*.f64 c c)) |
(*.f64 #s(literal 405/64 binary64) a) |
(*.f64 a #s(literal 405/64 binary64)) |
#s(literal 405/64 binary64) |
(*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b) |
(*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 b b))) |
(*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) |
(*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(*.f64 (*.f64 b b) (*.f64 b b)) |
#s(literal -1/6 binary64) |
(/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b))) |
(*.f64 c (*.f64 c #s(literal -3/8 binary64))) |
(*.f64 c #s(literal -3/8 binary64)) |
#s(literal -3/8 binary64) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
#s(literal -1/2 binary64) |
(/.f64 c b) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b)) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
c |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
b |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 #s(literal 3 binary64) a)) |
(neg.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) |
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))))) |
(-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) |
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) |
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) |
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) |
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) |
(fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))) |
c |
(*.f64 a #s(literal -3 binary64)) |
a |
#s(literal -3 binary64) |
(*.f64 b b) |
b |
(/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))) |
(/.f64 #s(literal -1/3 binary64) a) |
#s(literal 1 binary64) |
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 a #s(literal 3 binary64))) (*.f64 a b)) (*.f64 a (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 #s(literal 3 binary64) a)) |
(-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 a #s(literal 3 binary64))) (*.f64 a b)) |
(*.f64 a (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) |
(*.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 a #s(literal 3 binary64))) |
(*.f64 a (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))))) |
(*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) |
(*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) #s(literal 1/3 binary64)) |
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) |
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) |
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) |
(fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))) |
c |
(*.f64 a #s(literal -3 binary64)) |
a |
#s(literal -3 binary64) |
(*.f64 b b) |
b |
#s(literal 1/3 binary64) |
(*.f64 a #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
(*.f64 a b) |
(*.f64 b a) |
(*.f64 a (*.f64 a #s(literal 3 binary64))) |
(*.f64 #s(literal 3 binary64) (*.f64 a a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))))) |
(/.f64 (*.f64 (fma.f64 b (/.f64 b (*.f64 (*.f64 a a) #s(literal -9 binary64))) (/.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 a (*.f64 a #s(literal 9 binary64))))) (*.f64 #s(literal 3 binary64) a)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))))) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64))))) |
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (/.f64 #s(literal 1/3 binary64) (*.f64 a (fma.f64 b (/.f64 b (*.f64 (*.f64 a a) #s(literal -9 binary64))) (/.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 a (*.f64 a #s(literal 9 binary64)))))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))))) a) |
(/.f64 #s(literal 1/3 binary64) a) |
#s(literal 1/3 binary64) |
a |
(+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) |
(+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))))) |
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) |
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) |
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) |
(fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))) |
c |
(*.f64 a #s(literal -3 binary64)) |
#s(literal -3 binary64) |
(*.f64 b b) |
b |
(-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) |
(fma.f64 b (/.f64 b (*.f64 (*.f64 a a) #s(literal -9 binary64))) (/.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 a (*.f64 a #s(literal 9 binary64))))) |
(/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) |
(/.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 a (*.f64 a #s(literal 9 binary64)))) |
(*.f64 (*.f64 a a) #s(literal 9 binary64)) |
(*.f64 a (*.f64 a #s(literal 9 binary64))) |
(*.f64 a a) |
#s(literal 9 binary64) |
(/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64))) |
(/.f64 (*.f64 b b) (*.f64 a (*.f64 a #s(literal 9 binary64)))) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.34603500976844204 | (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64))) | |
| accuracy | 0.38671875 | (/.f64 #s(literal 1/3 binary64) a) | |
| accuracy | 0.40462875976844204 | (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) | |
| accuracy | 44.17623702672421 | (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) | |
| accuracy | 0.33203125 | (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) | |
| accuracy | 0.39681625976844204 | (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 a #s(literal 3 binary64))) (*.f64 a b)) (*.f64 a (*.f64 a #s(literal 3 binary64)))) | |
| accuracy | 0.3991012695368841 | (*.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 a #s(literal 3 binary64))) | |
| accuracy | 44.66613928752438 | (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 a #s(literal 3 binary64))) (*.f64 a b)) | |
| accuracy | 0.092128759768442 | (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) | |
| accuracy | 0.2890625 | (*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) | |
| accuracy | 0.3046875 | (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))) | |
| accuracy | 44.48582955493335 | (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) | |
| accuracy | 0 | (/.f64 #s(literal -1/2 binary64) b) | |
| accuracy | 0.2734375 | (*.f64 c (/.f64 #s(literal -1/2 binary64) b)) | |
| accuracy | 11.164103041474327 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) | |
| accuracy | 0.35384750976844204 | (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) | |
| accuracy | 0.37890625 | (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) | |
| accuracy | 0.41015625 | (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64)) | |
| accuracy | 1.6168422843902268 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
| 264.0ms | 173× | 1 | valid |
| 52.0ms | 83× | 0 | valid |
Compiled 809 to 75 computations (90.7% saved)
ival-mult: 85.0ms (35.2% of total)adjust: 47.0ms (19.5% of total)ival-div: 43.0ms (17.8% of total)const: 37.0ms (15.3% of total)ival-add: 11.0ms (4.6% of total)ival-sub: 8.0ms (3.3% of total)ival-sqrt: 7.0ms (2.9% of total)ival-neg: 3.0ms (1.2% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) (patch (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 a (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) (patch (fma.f64 a (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64)) (patch (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ()) |
#s(alt (*.f64 c (/.f64 #s(literal -1/2 binary64) b)) (patch (*.f64 c (/.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 a #s(literal -3 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (patch (neg.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) (patch (*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 a #s(literal 3 binary64))) (*.f64 a b)) (*.f64 a (*.f64 a #s(literal 3 binary64)))) (patch (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 a #s(literal 3 binary64))) (*.f64 a b)) (*.f64 a (*.f64 a #s(literal 3 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 a #s(literal 3 binary64))) (patch (*.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 a #s(literal 3 binary64))) (*.f64 a b)) (patch (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 a #s(literal 3 binary64))) (*.f64 a b)) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (patch (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64))))) (patch (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64))))) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) (patch (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) (patch (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (patch (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (patch (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (patch (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/3 binary64) a) (patch (/.f64 #s(literal 1/3 binary64) a) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -9/16 (/ (pow c 3) (pow b 5))) (taylor 0 c) (#s(alt (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) (patch (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) (taylor inf c) (#s(alt (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) (patch (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) (taylor inf c) (#s(alt (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) (patch (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (taylor -inf c) (#s(alt (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) (patch (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) (taylor -inf c) (#s(alt (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) (patch (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) (taylor -inf c) (#s(alt (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) (patch (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) (taylor -inf c) (#s(alt (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) (patch (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5))) (taylor -inf b) (#s(alt (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) (patch (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5))) (taylor -inf b) (#s(alt (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) (patch (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -9/16 (/ (pow c 3) (pow b 5))) (taylor 0 a) (#s(alt (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) (patch (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))) (taylor 0 a) (#s(alt (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) (patch (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))) (taylor 0 a) (#s(alt (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) (patch (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))) (taylor 0 a) (#s(alt (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) (patch (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (taylor inf a) (#s(alt (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) (patch (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) (taylor inf a) (#s(alt (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) (patch (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) (taylor inf a) (#s(alt (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) (patch (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) (taylor inf a) (#s(alt (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) (patch (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (taylor -inf a) (#s(alt (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) (patch (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) (taylor -inf a) (#s(alt (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) (patch (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) (taylor -inf a) (#s(alt (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) (patch (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) (taylor -inf a) (#s(alt (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) (patch (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor 0 a) (#s(alt (fma.f64 a (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) (patch (fma.f64 a (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (fma.f64 a (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) (patch (fma.f64 a (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) (taylor 0 a) (#s(alt (fma.f64 a (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) (patch (fma.f64 a (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -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)))))))) (taylor 0 a) (#s(alt (fma.f64 a (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) (patch (fma.f64 a (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) #<representation binary64>) () ())) ()) |
#s(alt (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) (taylor inf a) (#s(alt (fma.f64 a (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) (patch (fma.f64 a (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) (taylor inf a) (#s(alt (fma.f64 a (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) (patch (fma.f64 a (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) #<representation binary64>) () ())) ()) |
#s(alt (* (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))))))) (taylor inf a) (#s(alt (fma.f64 a (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) (patch (fma.f64 a (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) #<representation binary64>) () ())) ()) |
#s(alt (* (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)))))))) (taylor inf a) (#s(alt (fma.f64 a (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) (patch (fma.f64 a (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) #<representation binary64>) () ())) ()) |
#s(alt (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) (taylor -inf a) (#s(alt (fma.f64 a (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) (patch (fma.f64 a (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow a 3) (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) (taylor -inf a) (#s(alt (fma.f64 a (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) (patch (fma.f64 a (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) #<representation binary64>) () ())) ()) |
#s(alt (* -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)))))) (taylor -inf a) (#s(alt (fma.f64 a (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) (patch (fma.f64 a (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) #<representation binary64>) () ())) ()) |
#s(alt (* -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)))))) (taylor -inf a) (#s(alt (fma.f64 a (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) (patch (fma.f64 a (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (fma.f64 a (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) (patch (fma.f64 a (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (fma.f64 a (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) (patch (fma.f64 a (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) #<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 (fma.f64 a (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) (patch (fma.f64 a (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) #<representation binary64>) () ())) ()) |
#s(alt (* 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)))) (taylor 0 c) (#s(alt (fma.f64 a (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) (patch (fma.f64 a (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c))))) (taylor inf c) (#s(alt (fma.f64 a (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) (patch (fma.f64 a (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) (taylor inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) (taylor 0 b) (#s(alt (*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) (patch (*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor 0 b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
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#s(alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 a #s(literal 3 binary64))) (*.f64 a b)) (*.f64 a (*.f64 a #s(literal 3 binary64)))) (patch (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 a #s(literal 3 binary64))) (*.f64 a b)) (*.f64 a (*.f64 a #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 a #s(literal 3 binary64))) (*.f64 a b)) (*.f64 a (*.f64 a #s(literal 3 binary64)))) (patch (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 a #s(literal 3 binary64))) (*.f64 a b)) (*.f64 a (*.f64 a #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 a #s(literal 3 binary64))) (*.f64 a b)) (*.f64 a (*.f64 a #s(literal 3 binary64)))) (patch (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 a #s(literal 3 binary64))) (*.f64 a b)) (*.f64 a (*.f64 a #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1/3 (/ c a)) (taylor 0 a) (#s(alt (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) (patch (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ c a)) (taylor 0 a) (#s(alt (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) (patch (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ c a)) (taylor 0 a) (#s(alt (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) (patch (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ c a)) (taylor 0 a) (#s(alt (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) (patch (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ c a)) (taylor inf a) (#s(alt (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) (patch (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ c a)) (taylor inf a) (#s(alt (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) (patch (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ c a)) (taylor inf a) (#s(alt (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) (patch (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ c a)) (taylor inf a) (#s(alt (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) (patch (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ c a)) (taylor -inf a) (#s(alt (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) (patch (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ c a)) (taylor -inf a) (#s(alt (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) (patch (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ c a)) (taylor -inf a) (#s(alt (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) (patch (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ c a)) (taylor -inf a) (#s(alt (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) (patch (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ c a)) (taylor 0 b) (#s(alt (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) (patch (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ c a)) (taylor 0 b) (#s(alt (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) (patch (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ c a)) (taylor 0 b) (#s(alt (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) (patch (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ c a)) (taylor 0 b) (#s(alt (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) (patch (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ c a)) (taylor inf b) (#s(alt (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) (patch (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ c a)) (taylor inf b) (#s(alt (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) (patch (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ c a)) (taylor inf b) (#s(alt (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) (patch (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ c a)) (taylor inf b) (#s(alt (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) (patch (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ c a)) (taylor -inf b) (#s(alt (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) (patch (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ c a)) (taylor -inf b) (#s(alt (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) (patch (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ c a)) (taylor -inf b) (#s(alt (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) (patch (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ c a)) (taylor -inf b) (#s(alt (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) (patch (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 2/3 (/ b a)) (taylor 0 a) (#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 (/ (* a c) b)) (* 2/3 b)) a) (taylor 0 a) (#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a) (taylor 0 a) (#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 2/3 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) (taylor 0 a) (#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf a) (#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))) (taylor inf a) (#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a)))) (taylor inf a) (#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -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))))) (taylor inf a) (#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a))) (taylor -inf a) (#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1/3 b) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#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 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* 2/3 (/ b a)) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/9 (/ (pow b 2) (pow a 2))) (taylor inf b) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/9 (/ (pow b 2) (pow a 2))) (taylor inf b) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/9 (/ (pow b 2) (pow a 2))) (taylor -inf b) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/9 (/ (pow b 2) (pow a 2))) (taylor -inf b) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/9 (/ (pow b 2) (pow a 2))) (taylor -inf b) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/9 (/ (pow b 2) (pow a 2))) (taylor -inf b) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/9 (/ (pow b 2) (pow a 2))) (taylor 0 a) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/9 (/ (pow b 2) (pow a 2))) (taylor 0 a) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/9 (/ (pow b 2) (pow a 2))) (taylor 0 a) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/9 (/ (pow b 2) (pow a 2))) (taylor 0 a) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/9 (/ (pow b 2) (pow a 2))) (taylor inf a) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/9 (/ (pow b 2) (pow a 2))) (taylor inf a) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/9 (/ (pow b 2) (pow a 2))) (taylor inf a) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/9 (/ (pow b 2) (pow a 2))) (taylor inf a) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/9 (/ (pow b 2) (pow a 2))) (taylor -inf a) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/9 (/ (pow b 2) (pow a 2))) (taylor -inf a) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/9 (/ (pow b 2) (pow a 2))) (taylor -inf a) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/9 (/ (pow b 2) (pow a 2))) (taylor -inf a) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
195 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 55.0ms | a | @ | -inf | (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) |
| 33.0ms | c | @ | inf | (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) |
| 2.0ms | b | @ | 0 | (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) |
| 2.0ms | a | @ | inf | (/ 1 (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))))) |
| 2.0ms | c | @ | inf | (/ 1 (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))))) |
| 1× | egg-herbie |
| 8 828× | lower-fma.f64 |
| 8 828× | lower-fma.f32 |
| 6 954× | lower-*.f64 |
| 6 954× | lower-*.f32 |
| 5 462× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1577 | 16552 |
| 1 | 5199 | 16323 |
| 0 | 8596 | 15663 |
| 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)))))) |
(* -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)))))) |
(* -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)))) |
(* -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)) |
(* -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)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/3 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)) |
(* 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)))))) |
(* 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)))))) |
(* -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)) |
(* 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)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -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)))))) |
(* -3/2 (/ (* 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)))))) |
(* (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 (/ 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)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1/3 (/ (* b (- a (* -1 a))) (pow a 2))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 1/3 (/ (- a (* -1 a)) (pow a 2)))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 1/3 (/ (- a (* -1 a)) (pow a 2))))))) |
(* -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 (/ (- a (* -1 a)) (pow a 2)))))))) |
(* a b) |
(+ (* -3/2 (/ (* (pow a 2) c) b)) (* a b)) |
(+ (* a b) (* c (+ (* -3/2 (/ (pow a 2) b)) (* -9/8 (/ (* (pow a 3) c) (pow b 3)))))) |
(+ (* a b) (* c (+ (* -3/2 (/ (pow a 2) b)) (* c (+ (* -27/16 (/ (* (pow a 4) c) (pow b 5))) (* -9/8 (/ (pow a 3) (pow b 3)))))))) |
(* (sqrt (* (pow a 3) c)) (sqrt -3)) |
(* c (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ (pow a 3) c)) (sqrt -3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ (pow a 3) c)) (sqrt -3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ (pow a 3) c)) (sqrt -3)))))) |
(* -1 (* (sqrt (* (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3)))))))) |
(* a b) |
(* a (+ b (* -3/2 (/ (* a c) b)))) |
(* a (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))) |
(* a (+ 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 (* (pow a 3) c)) (sqrt -3)) |
(* (pow a 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* (pow a 2) (+ (* -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))))) |
(* (pow a 2) (+ (* -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 (* (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))))))) |
(* (sqrt (* (pow a 3) c)) (sqrt -3)) |
(+ (* 1/2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* (pow a 3) c)) (sqrt -3))) |
(+ (* (sqrt (* (pow a 3) c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))))) |
(+ (* (sqrt (* (pow a 3) c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
(* a b) |
(* b (+ a (* -3/2 (/ (* (pow a 2) c) (pow b 2))))) |
(* b (+ a (+ (* -3/2 (/ (* (pow a 2) c) (pow b 2))) (* -9/8 (/ (* (pow a 3) (pow c 2)) (pow b 4)))))) |
(* b (+ a (+ (* -27/16 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* (pow a 2) c) (pow b 2))) (* -9/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))))))) |
(* -1 (* a b)) |
(* -1 (* b (+ a (* -3/2 (/ (* (pow a 2) c) (pow b 2)))))) |
(* -1 (* b (+ a (+ (* -3/2 (/ (* (pow a 2) c) (pow b 2))) (* -9/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ a (+ (* -27/16 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* (pow a 2) c) (pow b 2))) (* -9/8 (/ (* (pow a 3) (pow c 2)) (pow b 4)))))))) |
(* -3/2 (/ (* (pow a 2) c) b)) |
(* c (+ (* -3/2 (/ (pow a 2) b)) (* -9/8 (/ (* (pow a 3) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ (pow a 2) b)) (* c (+ (* -27/16 (/ (* (pow a 4) c) (pow b 5))) (* -9/8 (/ (pow a 3) (pow b 3))))))) |
(* c (+ (* -3/2 (/ (pow a 2) b)) (* c (+ (* -9/8 (/ (pow a 3) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 4) (pow b 5))) (* -1/2 (/ (* a (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6)))))) b)))))))) |
(* (sqrt (* (pow a 3) c)) (sqrt -3)) |
(* c (+ (* -1 (/ (* a b) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (/ (* a b) c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ (pow a 3) c)) (sqrt -3)))) (/ (* a b) c))) |
(* -1 (* (sqrt (* (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3))) (/ (* a b) c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* a b)) c)) (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* a b)) c)) (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3)))))) |
(* -3/2 (/ (* (pow a 2) c) b)) |
(* (pow a 2) (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* (pow a 2) (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* (pow a 2) (+ (* -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 (* (pow a 3) c)) (sqrt -3)) |
(* (pow a 2) (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* (pow a 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* (pow a 2) (- (+ (* -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 (* (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b a)))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* -1 b)) a)))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1 b)) a)))) |
(* (sqrt (* (pow a 3) c)) (sqrt -3)) |
(+ (* -1 (* a b)) (* (sqrt (* (pow a 3) c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ a c)) (/ b (sqrt -3)))) a)) (* (sqrt (* (pow a 3) c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))))) a)) (* (sqrt (* (pow a 3) c)) (sqrt -3))) |
(* -3/2 (/ (* (pow a 2) c) b)) |
(/ (+ (* -3/2 (* (pow a 2) c)) (* -9/8 (/ (* (pow a 3) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -3/2 (* (pow a 2) c)) (* -9/8 (/ (* (pow a 3) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -3/2 (* (pow a 2) c)) (+ (* -9/8 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* -1/2 (/ (* a (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4))))) (pow b 6)))))) b) |
(* -1 (* b (- a (* -1 a)))) |
(* -1 (* b (- (+ a (* -3/2 (/ (* (pow a 2) c) (pow b 2)))) (* -1 a)))) |
(* -1 (* b (- (+ a (+ (* -3/2 (/ (* (pow a 2) c) (pow b 2))) (* -9/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))))) (* -1 a)))) |
(* -1 (* b (- (+ a (+ (* -27/16 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* (pow a 2) c) (pow b 2))) (* -9/8 (/ (* (pow a 3) (pow c 2)) (pow b 4)))))) (* -1 a)))) |
(* 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 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 (* (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)) (* -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 (+ (* -3 (* a (+ (* 9/128 (/ (pow c 4) (pow b 7))) (* 9/32 (/ (pow c 4) (pow b 7)))))) (* -9/16 (/ (pow c 3) (pow b 5)))))))) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2))) a) |
(/ (+ (* -3 (/ (+ (* -1/6 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/3 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2)))) a) |
(/ (+ (* -3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1/6 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/3 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* 1/6 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -3) 4))))) (pow a 3))) (+ (* -3 (/ (+ (* -1/6 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/3 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2))))) a) |
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (/ b (pow (sqrt 3) 2))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -3 (/ (+ (* -1/3 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1 (/ (* a b) (pow (sqrt 3) 2)))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1/3 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/6 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a)) (* 3 (+ (* -1/3 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) a))) a))) a)) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -3 (* c (+ (* 9/128 (/ (pow a 3) (pow b 7))) (* 9/32 (/ (pow a 3) (pow b 7)))))) (* -9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b)))) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2)))) |
(+ (* -3 (/ (+ (* -1/6 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2))))) |
(+ (* -3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1/6 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* 1/6 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4))))) (pow c 3))) (+ (* -3 (/ (+ (* -1/6 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2)))))) |
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) |
(+ (* -1 (/ b (* a (pow (sqrt 3) 2)))) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (+ (* 3 (/ (+ (* -1/3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) c)) (/ (* b c) (* a (pow (sqrt 3) 2)))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -3 (+ (* -1/3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) (* 3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (+ (* -1/3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/6 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt 3) 4))))) c))) c)) (/ (* b c) (* a (pow (sqrt 3) 2)))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* -3 (* b (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* a (pow (sqrt -3) 2)))))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -3 (* b (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3)))) (* 1/6 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 4)))))))) (* -3 (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))))))) (/ 1 (* a (pow (sqrt -3) 2)))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -3 (/ (+ (* 9/128 (* (pow a 3) (pow c 4))) (* 9/32 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -3 (/ (+ (* -1/8 (* a (pow c 2))) (* 1/4 (* a (pow c 2)))) (pow b 4))) (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -3 (/ (+ (* -3/4 (* a (* c (+ (* -1/8 (* a (pow c 2))) (* 1/4 (* a (pow c 2))))))) (+ (* -3/16 (* (pow a 2) (pow c 3))) (* 2/27 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (+ (* -3 (/ (+ (* -1/8 (* a (pow c 2))) (* 1/4 (* a (pow c 2)))) (pow b 4))) (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))))) |
(* -2 (/ b c)) |
(+ (* -2 (/ b c)) (* 3/2 (/ a b))) |
(+ (* -2 (/ b c)) (* a (+ (* 9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))) |
(+ (* -2 (/ b c)) (* a (+ (* a (+ (* 9/8 (/ c (pow b 3))) (* 27/16 (/ (* a (pow c 2)) (pow b 5))))) (* 3/2 (/ 1 b))))) |
(* -1 (* (sqrt (/ a c)) (sqrt -3))) |
(* a (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* -1 (/ b (* a c))))) |
(* a (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1 (/ b (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3))))))) |
(* a (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1 (/ b (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))))))) |
(* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) |
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (/ b (* a c))))) |
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ b c)) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))))) |
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ b c)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))))) |
(* -2 (/ b c)) |
(/ (+ (* -2 b) (* 3/2 (/ (* a c) b))) c) |
(/ (+ (* -2 b) (* c (+ (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* 3/2 (/ a b))))) c) |
(/ (+ (* -2 b) (* c (+ (* 3/2 (/ a b)) (* c (+ (* 9/8 (/ (pow a 2) (pow b 3))) (* 27/16 (/ (* (pow a 3) c) (pow b 5)))))))) c) |
(* -1 (* (sqrt (/ a c)) (sqrt -3))) |
(+ (* -1 (* (sqrt (/ a c)) (sqrt -3))) (* -1 (/ b c))) |
(+ (* -1 (* (sqrt (/ a c)) (sqrt -3))) (+ (* -1 (/ b c)) (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))))) |
(+ (* -1 (* (sqrt (/ a c)) (sqrt -3))) (+ (* -1 (/ b c)) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3))))))) |
(* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) |
(+ (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (+ b (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -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))) |
(+ (* -1 (* (sqrt (/ a c)) (sqrt -3))) (* -1 (/ b c))) |
(+ (* -1 (* (sqrt (/ a c)) (sqrt -3))) (* b (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -3)))) (/ 1 c)))) |
(+ (* -1 (* (sqrt (/ a c)) (sqrt -3))) (* b (- (* b (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (sqrt -3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (/ 1 c)))) |
(* -2 (/ b c)) |
(* b (- (* 3/2 (/ a (pow b 2))) (* 2 (/ 1 c)))) |
(* b (- (+ (* 9/8 (/ (* (pow a 2) c) (pow b 4))) (* 3/2 (/ a (pow b 2)))) (* 2 (/ 1 c)))) |
(* b (- (+ (* 9/8 (/ (* (pow a 2) c) (pow b 4))) (+ (* 3/2 (/ a (pow b 2))) (* 27/16 (/ (* (pow a 3) (pow c 2)) (pow b 6))))) (* 2 (/ 1 c)))) |
(* -3/2 (/ a b)) |
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) c) (pow b 2))) (* 3/2 a)) b)) |
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) c) (pow b 2))) (+ (* 3/2 a) (* 27/16 (/ (* (pow a 3) (pow c 2)) (pow b 4))))) b)) |
(* -1 (/ (+ (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow b 6) c))) (+ (* 9/8 (/ (* (pow a 2) c) (pow b 2))) (+ (* 3/2 a) (* 27/16 (/ (* (pow a 3) (pow c 2)) (pow b 4)))))) b)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* 2/3 (/ b a)) |
(/ (+ (* -1/2 (/ (* a c) b)) (* 2/3 b)) a) |
(/ (+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/ (+ (* 2/3 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 (* (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 (/ 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 (/ (+ (* -1/3 b) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -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))))) |
(* 2/3 (/ b a)) |
(+ (* -1/2 (/ c b)) (* 2/3 (/ b a))) |
(+ (* 2/3 (/ b a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))) |
(+ (* 2/3 (/ 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 (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c))))) |
(* 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 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -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))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))) |
(+ (* 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))))) |
(* 2/3 (/ b a)) |
(* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))) |
(* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 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))) (* 2/3 (/ 1 a)))))) |
(* 1/2 (/ c b)) |
(* -1 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -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 (/ (+ (* -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)) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (pow b 7))) |
(* 405/64 (/ (* a (pow c 4)) (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)) |
(* 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))))) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(+ (* -1/3 (/ c a)) (* 1/9 (/ (pow b 2) (pow a 2)))) |
(+ (* -1/3 (/ c a)) (* 1/9 (/ (pow b 2) (pow a 2)))) |
(+ (* -1/3 (/ c a)) (* 1/9 (/ (pow b 2) (pow a 2)))) |
(* -1/3 (/ c a)) |
(* c (- (* 1/9 (/ (pow b 2) (* (pow a 2) c))) (* 1/3 (/ 1 a)))) |
(* c (- (* 1/9 (/ (pow b 2) (* (pow a 2) c))) (* 1/3 (/ 1 a)))) |
(* c (- (* 1/9 (/ (pow b 2) (* (pow a 2) c))) (* 1/3 (/ 1 a)))) |
(* -1/3 (/ c a)) |
(* -1 (* c (+ (* -1/9 (/ (pow b 2) (* (pow a 2) c))) (* 1/3 (/ 1 a))))) |
(* -1 (* c (+ (* -1/9 (/ (pow b 2) (* (pow a 2) c))) (* 1/3 (/ 1 a))))) |
(* -1 (* c (+ (* -1/9 (/ (pow b 2) (* (pow a 2) c))) (* 1/3 (/ 1 a))))) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(/ (+ (* -1/3 (* a c)) (* 1/9 (pow b 2))) (pow a 2)) |
(/ (+ (* -1/3 (* a c)) (* 1/9 (pow b 2))) (pow a 2)) |
(/ (+ (* -1/3 (* a c)) (* 1/9 (pow b 2))) (pow a 2)) |
(* -1/3 (/ c a)) |
(/ (+ (* -1/3 c) (* 1/9 (/ (pow b 2) a))) a) |
(/ (+ (* -1/3 c) (* 1/9 (/ (pow b 2) a))) a) |
(/ (+ (* -1/3 c) (* 1/9 (/ (pow b 2) a))) a) |
(* -1/3 (/ c a)) |
(* -1 (/ (+ (* -1/9 (/ (pow b 2) a)) (* 1/3 c)) a)) |
(* -1 (/ (+ (* -1/9 (/ (pow b 2) a)) (* 1/3 c)) a)) |
(* -1 (/ (+ (* -1/9 (/ (pow b 2) a)) (* 1/3 c)) a)) |
(* -1/3 (/ c a)) |
(+ (* -1/3 (/ c a)) (* 1/9 (/ (pow b 2) (pow a 2)))) |
(+ (* -1/3 (/ c a)) (* 1/9 (/ (pow b 2) (pow a 2)))) |
(+ (* -1/3 (/ c a)) (* 1/9 (/ (pow b 2) (pow a 2)))) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(* (pow b 2) (+ (* -1/3 (/ c (* a (pow b 2)))) (* 1/9 (/ 1 (pow a 2))))) |
(* (pow b 2) (+ (* -1/3 (/ c (* a (pow b 2)))) (* 1/9 (/ 1 (pow a 2))))) |
(* (pow b 2) (+ (* -1/3 (/ c (* a (pow b 2)))) (* 1/9 (/ 1 (pow a 2))))) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(* (pow b 2) (+ (* -1/3 (/ c (* a (pow b 2)))) (* 1/9 (/ 1 (pow a 2))))) |
(* (pow b 2) (+ (* -1/3 (/ c (* a (pow b 2)))) (* 1/9 (/ 1 (pow a 2))))) |
(* (pow b 2) (+ (* -1/3 (/ c (* a (pow b 2)))) (* 1/9 (/ 1 (pow a 2))))) |
(/ 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) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
| Outputs |
|---|
(* -9/16 (/ (pow c 3) (pow b 5))) |
(/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 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 c (*.f64 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 c (*.f64 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 c (*.f64 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 c (pow.f64 b #s(literal 5 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 c (pow.f64 b #s(literal 5 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 c (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 c (pow.f64 b #s(literal 5 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 c (pow.f64 b #s(literal 5 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 c (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))) |
(/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7)) |
(/.f64 (fma.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 b b)) (*.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 #s(literal -9/16 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 b b)) (*.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 #s(literal -9/16 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -135/128 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64))))) (pow.f64 b #s(literal 7 binary64))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) |
(/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5)) |
(/.f64 (fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 4 binary64))) (*.f64 b b)) (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) |
(/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5)) |
(/.f64 (fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 4 binary64))) (*.f64 b b)) (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) |
(/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5)) |
(/.f64 (fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 4 binary64))) (*.f64 b b)) (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) |
(* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5))) |
(/.f64 (fma.f64 (*.f64 c (*.f64 c c)) #s(literal 9/16 binary64) (/.f64 (*.f64 #s(literal 135/128 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (*.f64 b b))) (neg.f64 (pow.f64 b #s(literal 5 binary64)))) |
(* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5))) |
(/.f64 (fma.f64 (*.f64 c (*.f64 c c)) #s(literal 9/16 binary64) (/.f64 (*.f64 #s(literal 135/128 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (*.f64 b b))) (neg.f64 (pow.f64 b #s(literal 5 binary64)))) |
(* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5))) |
(/.f64 (fma.f64 (*.f64 c (*.f64 c c)) #s(literal 9/16 binary64) (/.f64 (*.f64 #s(literal 135/128 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (*.f64 b b))) (neg.f64 (pow.f64 b #s(literal 5 binary64)))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) |
(+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))) |
(fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (/.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)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))) |
(fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (/.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)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))) |
(fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (/.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)) (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))) |
(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(*.f64 a (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (pow.f64 b #s(literal 5 binary64)) a)) (/.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))))) |
(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(*.f64 a (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (pow.f64 b #s(literal 5 binary64)) a)) (/.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))))) |
(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(*.f64 a (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (pow.f64 b #s(literal 5 binary64)) a)) (/.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 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))) |
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(*.f64 (fma.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (pow.f64 b #s(literal 5 binary64)) a)) (/.f64 (*.f64 #s(literal 135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))) (neg.f64 a)) |
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(*.f64 (fma.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (pow.f64 b #s(literal 5 binary64)) a)) (/.f64 (*.f64 #s(literal 135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))) (neg.f64 a)) |
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(*.f64 (fma.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (pow.f64 b #s(literal 5 binary64)) a)) (/.f64 (*.f64 #s(literal 135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))) (neg.f64 a)) |
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b b)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 a (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(+ (* -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)))))))) |
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64)))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(*.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (pow.f64 b #s(literal 5 binary64)) a)) (/.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))) (*.f64 a (*.f64 a a))) |
(* (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))))))) |
(*.f64 (*.f64 a (*.f64 a a)) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (pow.f64 b #s(literal 5 binary64)) a)) (fma.f64 #s(literal -135/128 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 a a)))))) |
(* (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)))))))) |
(*.f64 (*.f64 a (*.f64 a a)) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (pow.f64 b #s(literal 5 binary64)) a)) (fma.f64 #s(literal -135/128 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 a a))))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) |
(* -1 (* (pow a 3) (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(neg.f64 (*.f64 (fma.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (pow.f64 b #s(literal 5 binary64)) a)) (/.f64 (*.f64 #s(literal 135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))) (*.f64 a (*.f64 a a)))) |
(* -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)))))) |
(neg.f64 (*.f64 (*.f64 a (*.f64 a a)) (-.f64 (/.f64 (*.f64 #s(literal 135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) (/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 a (*.f64 b (*.f64 b b))))) a)))) |
(* -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)))))) |
(neg.f64 (*.f64 (*.f64 a (*.f64 a a)) (-.f64 (/.f64 (*.f64 #s(literal 135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (fma.f64 (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) #s(literal 3/8 binary64) (/.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 b a))) a)) a)))) |
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 c (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))) |
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(/.f64 (fma.f64 c #s(literal -1/3 binary64) (*.f64 (/.f64 (*.f64 b b) a) #s(literal 1/9 binary64))) a) |
(* -1/3 (/ c a)) |
(*.f64 (/.f64 c a) #s(literal -1/3 binary64)) |
(* -1 (/ (+ (* -1/9 (/ (pow b 2) a)) (* 1/3 c)) a)) |
(/.f64 (fma.f64 c #s(literal 1/3 binary64) (*.f64 (/.f64 (*.f64 b b) a) #s(literal -1/9 binary64))) (neg.f64 a)) |
(* -1 (/ (+ (* -1/9 (/ (pow b 2) a)) (* 1/3 c)) a)) |
(/.f64 (fma.f64 c #s(literal 1/3 binary64) (*.f64 (/.f64 (*.f64 b b) a) #s(literal -1/9 binary64))) (neg.f64 a)) |
(* -1 (/ (+ (* -1/9 (/ (pow b 2) a)) (* 1/3 c)) a)) |
(/.f64 (fma.f64 c #s(literal 1/3 binary64) (*.f64 (/.f64 (*.f64 b b) a) #s(literal -1/9 binary64))) (neg.f64 a)) |
(* -1/3 (/ c a)) |
(*.f64 (/.f64 c a) #s(literal -1/3 binary64)) |
(+ (* -1/3 (/ c a)) (* 1/9 (/ (pow b 2) (pow a 2)))) |
(fma.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (/.f64 c a) #s(literal -1/3 binary64))) |
(+ (* -1/3 (/ c a)) (* 1/9 (/ (pow b 2) (pow a 2)))) |
(fma.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (/.f64 c a) #s(literal -1/3 binary64))) |
(+ (* -1/3 (/ c a)) (* 1/9 (/ (pow b 2) (pow a 2)))) |
(fma.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (/.f64 c a) #s(literal -1/3 binary64))) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(/.f64 (*.f64 (*.f64 b b) #s(literal 1/9 binary64)) (*.f64 a a)) |
(* (pow b 2) (+ (* -1/3 (/ c (* a (pow b 2)))) (* 1/9 (/ 1 (pow a 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -1/3 binary64) (/.f64 c (*.f64 a (*.f64 b b))) (/.f64 #s(literal 1/9 binary64) (*.f64 a a)))) |
(* (pow b 2) (+ (* -1/3 (/ c (* a (pow b 2)))) (* 1/9 (/ 1 (pow a 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -1/3 binary64) (/.f64 c (*.f64 a (*.f64 b b))) (/.f64 #s(literal 1/9 binary64) (*.f64 a a)))) |
(* (pow b 2) (+ (* -1/3 (/ c (* a (pow b 2)))) (* 1/9 (/ 1 (pow a 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -1/3 binary64) (/.f64 c (*.f64 a (*.f64 b b))) (/.f64 #s(literal 1/9 binary64) (*.f64 a a)))) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(/.f64 (*.f64 (*.f64 b b) #s(literal 1/9 binary64)) (*.f64 a a)) |
(* (pow b 2) (+ (* -1/3 (/ c (* a (pow b 2)))) (* 1/9 (/ 1 (pow a 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -1/3 binary64) (/.f64 c (*.f64 a (*.f64 b b))) (/.f64 #s(literal 1/9 binary64) (*.f64 a a)))) |
(* (pow b 2) (+ (* -1/3 (/ c (* a (pow b 2)))) (* 1/9 (/ 1 (pow a 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -1/3 binary64) (/.f64 c (*.f64 a (*.f64 b b))) (/.f64 #s(literal 1/9 binary64) (*.f64 a a)))) |
(* (pow b 2) (+ (* -1/3 (/ c (* a (pow b 2)))) (* 1/9 (/ 1 (pow a 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -1/3 binary64) (/.f64 c (*.f64 a (*.f64 b b))) (/.f64 #s(literal 1/9 binary64) (*.f64 a a)))) |
(/ 1/3 a) |
(/.f64 #s(literal 1/3 binary64) a) |
(/ 1/3 a) |
(/.f64 #s(literal 1/3 binary64) a) |
(/ 1/3 a) |
(/.f64 #s(literal 1/3 binary64) a) |
(/ 1/3 a) |
(/.f64 #s(literal 1/3 binary64) a) |
(/ 1/3 a) |
(/.f64 #s(literal 1/3 binary64) a) |
(/ 1/3 a) |
(/.f64 #s(literal 1/3 binary64) a) |
(/ 1/3 a) |
(/.f64 #s(literal 1/3 binary64) a) |
(/ 1/3 a) |
(/.f64 #s(literal 1/3 binary64) a) |
(/ 1/3 a) |
(/.f64 #s(literal 1/3 binary64) a) |
(/ 1/3 a) |
(/.f64 #s(literal 1/3 binary64) a) |
(/ 1/3 a) |
(/.f64 #s(literal 1/3 binary64) a) |
(/ 1/3 a) |
(/.f64 #s(literal 1/3 binary64) a) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(/.f64 (*.f64 (*.f64 b b) #s(literal 1/9 binary64)) (*.f64 a a)) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(/.f64 (*.f64 (*.f64 b b) #s(literal 1/9 binary64)) (*.f64 a a)) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(/.f64 (*.f64 (*.f64 b b) #s(literal 1/9 binary64)) (*.f64 a a)) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(/.f64 (*.f64 (*.f64 b b) #s(literal 1/9 binary64)) (*.f64 a a)) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(/.f64 (*.f64 (*.f64 b b) #s(literal 1/9 binary64)) (*.f64 a a)) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(/.f64 (*.f64 (*.f64 b b) #s(literal 1/9 binary64)) (*.f64 a a)) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(/.f64 (*.f64 (*.f64 b b) #s(literal 1/9 binary64)) (*.f64 a a)) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(/.f64 (*.f64 (*.f64 b b) #s(literal 1/9 binary64)) (*.f64 a a)) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(/.f64 (*.f64 (*.f64 b b) #s(literal 1/9 binary64)) (*.f64 a a)) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(/.f64 (*.f64 (*.f64 b b) #s(literal 1/9 binary64)) (*.f64 a a)) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(/.f64 (*.f64 (*.f64 b b) #s(literal 1/9 binary64)) (*.f64 a a)) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(/.f64 (*.f64 (*.f64 b b) #s(literal 1/9 binary64)) (*.f64 a a)) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(/.f64 (*.f64 (*.f64 b b) #s(literal 1/9 binary64)) (*.f64 a a)) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(/.f64 (*.f64 (*.f64 b b) #s(literal 1/9 binary64)) (*.f64 a a)) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(/.f64 (*.f64 (*.f64 b b) #s(literal 1/9 binary64)) (*.f64 a a)) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(/.f64 (*.f64 (*.f64 b b) #s(literal 1/9 binary64)) (*.f64 a a)) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(/.f64 (*.f64 (*.f64 b b) #s(literal 1/9 binary64)) (*.f64 a a)) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(/.f64 (*.f64 (*.f64 b b) #s(literal 1/9 binary64)) (*.f64 a a)) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(/.f64 (*.f64 (*.f64 b b) #s(literal 1/9 binary64)) (*.f64 a a)) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(/.f64 (*.f64 (*.f64 b b) #s(literal 1/9 binary64)) (*.f64 a a)) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(/.f64 (*.f64 (*.f64 b b) #s(literal 1/9 binary64)) (*.f64 a a)) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(/.f64 (*.f64 (*.f64 b b) #s(literal 1/9 binary64)) (*.f64 a a)) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(/.f64 (*.f64 (*.f64 b b) #s(literal 1/9 binary64)) (*.f64 a a)) |
(* 1/9 (/ (pow b 2) (pow a 2))) |
(/.f64 (*.f64 (*.f64 b b) #s(literal 1/9 binary64)) (*.f64 a a)) |
| 5 290× | lower-*.f32 |
| 5 236× | lower-*.f64 |
| 3 782× | lower-fma.f32 |
| 3 774× | lower-fma.f64 |
| 3 268× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 553 |
| 0 | 125 | 489 |
| 1 | 486 | 427 |
| 2 | 4349 | 391 |
| 0 | 8718 | 388 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) |
(fma.f64 a (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b)) |
(/.f64 #s(literal -1/2 binary64) b) |
(/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))) |
(neg.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
(-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) |
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 a #s(literal 3 binary64))) (*.f64 a b)) (*.f64 a (*.f64 a #s(literal 3 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 a #s(literal 3 binary64))) |
(-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 a #s(literal 3 binary64))) (*.f64 a b)) |
(*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64))))) |
(-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) |
(/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) |
(*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) |
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) |
(/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) |
(/.f64 #s(literal 1/3 binary64) a) |
(/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 9 binary64))) |
| Outputs |
|---|
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 #s(literal 405/64 binary64) a) #s(literal -1/6 binary64))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -16/9 binary64)))) |
(+.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -16/9 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 #s(literal 405/64 binary64) a) #s(literal -1/6 binary64))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(+.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -16/9 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 #s(literal 405/64 binary64) a) #s(literal -1/6 binary64))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(+.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -16/9 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 #s(literal 405/64 binary64) a))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(-.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -16/9 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 #s(literal 405/64 binary64) a) #s(literal -1/6 binary64))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -16/9 binary64))) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -16/9 binary64)))) (fma.f64 c (/.f64 (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 #s(literal 405/64 binary64) a) #s(literal -1/6 binary64))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 #s(literal 405/64 binary64) a) #s(literal -1/6 binary64))) (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 #s(literal 405/64 binary64) a) #s(literal -1/6 binary64)))) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (fma.f64 c (/.f64 (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 #s(literal 405/64 binary64) a) #s(literal -1/6 binary64))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))))) |
(fma.f64 c (/.f64 (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 #s(literal 405/64 binary64) a) #s(literal -1/6 binary64))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(fma.f64 c (/.f64 (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 #s(literal 405/64 binary64) a) #s(literal -1/6 binary64))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(fma.f64 c (/.f64 (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 #s(literal 405/64 binary64) a))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(fma.f64 (*.f64 c c) (/.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 #s(literal 405/64 binary64) a) #s(literal -1/6 binary64))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(fma.f64 (*.f64 c c) (/.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 #s(literal 405/64 binary64) a) #s(literal -1/6 binary64))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(fma.f64 (*.f64 c c) (/.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 #s(literal 405/64 binary64) a))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(fma.f64 (/.f64 #s(literal -9/16 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 c (*.f64 c c)) (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 #s(literal 405/64 binary64) a) #s(literal -1/6 binary64))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(fma.f64 (/.f64 #s(literal -9/16 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 c (*.f64 c c)) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 #s(literal 405/64 binary64) a) #s(literal -1/6 binary64))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(fma.f64 (/.f64 #s(literal -9/16 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 c (*.f64 c c)) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 #s(literal 405/64 binary64) a))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) c (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 #s(literal 405/64 binary64) a) #s(literal -1/6 binary64))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) |
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(*.f64 (*.f64 #s(literal 405/64 binary64) a) (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
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(*.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 #s(literal 405/64 binary64) a))) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) |
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(*.f64 (/.f64 (*.f64 #s(literal 405/64 binary64) a) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) b)) |
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(fma.f64 #s(literal -1 binary64) (*.f64 b (neg.f64 b)) (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
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(fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) |
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(/.f64 (neg.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (neg.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (neg.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 c a) (*.f64 c a)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 b (*.f64 b (*.f64 b b))))) (neg.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b (neg.f64 b))))) |
(pow.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 (*.f64 a a) a) #s(literal -27 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 c a) (*.f64 c a)))) (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b (neg.f64 b))) (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal -1 binary64)) |
(*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) |
(*.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 c a) (*.f64 c a)))))) |
(*.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 (*.f64 a a) a) #s(literal -27 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b (neg.f64 b))))) |
(*.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 c a) (*.f64 c a))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 (*.f64 a a) a) #s(literal -27 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b (neg.f64 b)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a (*.f64 a #s(literal 9 binary64))) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 a (*.f64 a #s(literal 9 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 a #s(literal 9 binary64))) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a (*.f64 a #s(literal 9 binary64))) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 9 binary64) (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 a a)))) |
(/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 a (*.f64 a #s(literal 9 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a (*.f64 a #s(literal 9 binary64))) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) |
(/.f64 (neg.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 (*.f64 a a) #s(literal -9 binary64))) |
(/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 a (*.f64 a #s(literal 9 binary64))) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 c a) (*.f64 c a)))))) |
(/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 a #s(literal 9 binary64))) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b (neg.f64 b))))) |
(/.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 a a)) #s(literal 9 binary64)) |
(/.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 a (*.f64 a #s(literal 9 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 c a) (*.f64 c a)))) (*.f64 a (*.f64 a #s(literal 9 binary64))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 1 binary64)) (*.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b (neg.f64 b))) (*.f64 a (*.f64 a #s(literal 9 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (neg.f64 (*.f64 (*.f64 a a) #s(literal -9 binary64)))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 a a))) #s(literal -9 binary64)) |
(/.f64 (*.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1/9 binary64) (*.f64 a a))) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 c a) (*.f64 c a))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1/9 binary64) (*.f64 a a))) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b (neg.f64 b)))) |
(/.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) a) (*.f64 a #s(literal 9 binary64))) |
(/.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) #s(literal 9 binary64)) (*.f64 a a)) |
(pow.f64 (/.f64 (*.f64 a (*.f64 a #s(literal 9 binary64))) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 a (*.f64 a #s(literal 9 binary64))) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 9 binary64) (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 a a))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 a (*.f64 a #s(literal 9 binary64))))) |
(*.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (/.f64 #s(literal 1/9 binary64) (*.f64 a a))) |
(*.f64 (neg.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal -9 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 (*.f64 a #s(literal 9 binary64)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 a a)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) |
(*.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 a a)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 a a)) #s(literal 1/9 binary64)) |
(*.f64 #s(literal 1/9 binary64) (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 a a))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (pow.f64 (/.f64 #s(literal 9 binary64) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 a (*.f64 a #s(literal 9 binary64))) (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 c a) (*.f64 c a)))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 a (*.f64 a #s(literal 9 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b (neg.f64 b))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 a #s(literal 3 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1/3 binary64) a)) |
(/.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1/3 binary64) a) |
(/.f64 #s(literal 1/3 binary64) (neg.f64 (neg.f64 a))) |
(/.f64 #s(literal -1 binary64) (*.f64 a #s(literal -3 binary64))) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 a)) |
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 3 binary64)) |
(pow.f64 (*.f64 a #s(literal 3 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) a)) |
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 a))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 a)) #s(literal -1/3 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a (*.f64 a #s(literal 9 binary64))) (*.f64 b b))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal -9 binary64)))) |
(/.f64 (*.f64 b b) (*.f64 a (*.f64 a #s(literal 9 binary64)))) |
(/.f64 (*.f64 b b) (neg.f64 (*.f64 (*.f64 a a) #s(literal -9 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 a #s(literal 9 binary64))) (*.f64 b b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a (*.f64 a #s(literal 9 binary64))) (*.f64 b b)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 9 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a (*.f64 a #s(literal 9 binary64))) (*.f64 b b)))) |
(/.f64 (*.f64 b (neg.f64 b)) (*.f64 (*.f64 a a) #s(literal -9 binary64))) |
(/.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 9 binary64)) |
(/.f64 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) #s(literal -9 binary64)) |
(/.f64 (*.f64 (/.f64 b (*.f64 a a)) b) #s(literal 9 binary64)) |
(/.f64 (*.f64 b (*.f64 b #s(literal 1/9 binary64))) (*.f64 a a)) |
(/.f64 (/.f64 (*.f64 b b) a) (*.f64 a #s(literal 9 binary64))) |
(/.f64 (/.f64 (*.f64 b b) #s(literal 9 binary64)) (*.f64 a a)) |
(pow.f64 (/.f64 (*.f64 a (*.f64 a #s(literal 9 binary64))) (*.f64 b b)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 a (*.f64 a #s(literal 9 binary64))) (*.f64 b b)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 9 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) #s(literal -1 binary64)) |
(*.f64 b (/.f64 (*.f64 b #s(literal 1/9 binary64)) (*.f64 a a))) |
(*.f64 (*.f64 b b) (/.f64 #s(literal 1/9 binary64) (*.f64 a a))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a #s(literal 9 binary64))))) |
(*.f64 (*.f64 b (neg.f64 b)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal -9 binary64)))) |
(*.f64 (/.f64 b (*.f64 a a)) (*.f64 b #s(literal 1/9 binary64))) |
(*.f64 (*.f64 b #s(literal 1/9 binary64)) (/.f64 b (*.f64 a a))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 (*.f64 a #s(literal 9 binary64)) (*.f64 b b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 b b)) |
(*.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 a a)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1/9 binary64)) |
(*.f64 (/.f64 (*.f64 b #s(literal 1/9 binary64)) (*.f64 a a)) b) |
(*.f64 (/.f64 b a) (/.f64 b (*.f64 a #s(literal 9 binary64)))) |
(*.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (pow.f64 (/.f64 #s(literal 9 binary64) (*.f64 b b)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 a b) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 a #s(literal 9 binary64)) b) #s(literal -1 binary64))) |
Compiled 81 028 to 5 555 computations (93.1% saved)
56 alts after pruning (51 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 850 | 24 | 1 874 |
| Fresh | 27 | 27 | 54 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 2 | 3 |
| Total | 1 880 | 56 | 1 936 |
| Status | Accuracy | Program |
|---|---|---|
| 31.2% | (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) a) (/.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 a #s(literal 3 binary64))) (neg.f64 (/.f64 (*.f64 b a) (*.f64 a (*.f64 a #s(literal 3 binary64)))))) | |
| 32.3% | (fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (/.f64 b (*.f64 a #s(literal -3 binary64)))) | |
| 32.3% | (fma.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 a #s(literal -3 binary64)))) | |
| 30.0% | (fma.f64 (neg.f64 b) (/.f64 #s(literal 1/3 binary64) a) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 a #s(literal 3 binary64)))) | |
| 32.2% | (/.f64 (fma.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) #s(literal 1/3 binary64) (*.f64 b (neg.f64 a))) (*.f64 a (*.f64 a #s(literal 3 binary64)))) | |
| 31.8% | (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 #s(literal 1/3 binary64) a)) #s(literal 3 binary64) (*.f64 b (neg.f64 a))) (*.f64 a (*.f64 a #s(literal 3 binary64)))) | |
| 32.6% | (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 a #s(literal 3 binary64)) (*.f64 b (neg.f64 a))) (*.f64 a (*.f64 a #s(literal 3 binary64)))) | |
| 31.5% | (/.f64 (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 a #s(literal -3 binary64)) b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) | |
| 31.4% | (/.f64 (fma.f64 (neg.f64 b) a (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 #s(literal 1 binary64) a))) (*.f64 a (*.f64 a #s(literal 3 binary64)))) | |
| 32.6% | (/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b (neg.f64 b)))) (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a #s(literal 9 binary64))))) | |
| 29.5% | (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64))))))) (*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) (*.f64 (*.f64 b (*.f64 b b)) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) (*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)) | |
| 30.4% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) a) #s(literal 3 binary64)) | |
| 95.0% | (/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (*.f64 c (fma.f64 c (fma.f64 #s(literal -9/2 binary64) (*.f64 a a) (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) c) (*.f64 b b)) (*.f64 #s(literal 9/8 binary64) (*.f64 a a)))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 b b)))))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) | |
| 31.3% | (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) #s(literal 1/3 binary64)) (*.f64 a b)) (*.f64 a (*.f64 a #s(literal 3 binary64)))) | |
| 29.7% | (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) a) (*.f64 a (*.f64 b #s(literal 1/3 binary64)))) (*.f64 a a)) | |
| 29.8% | (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) a) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 a b)) (*.f64 a (*.f64 a #s(literal 3 binary64)))) | |
| 29.8% | (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 a #s(literal -3 binary64))) (*.f64 (*.f64 a #s(literal 3 binary64)) (neg.f64 b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (*.f64 a #s(literal -3 binary64)))) | |
| 30.0% | (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 b #s(literal 1/3 binary64))) a) | |
| 31.0% | (/.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))))) | |
| 30.4% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a)) | |
| 30.5% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a)) | |
| 30.4% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 a (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a)))))) (*.f64 #s(literal 3 binary64) a)) | |
| 31.4% | (/.f64 (*.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 (*.f64 #s(literal 81 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 a (*.f64 a #s(literal 9 binary64))))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 #s(literal 81 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 a (*.f64 a #s(literal 9 binary64))))))) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 a #s(literal 9 binary64)))) (*.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 b b))) (/.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 #s(literal 81 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))))) | |
| 31.0% | (/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) | |
| 30.4% | (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 1/3 binary64)) a) | |
| 30.4% | (/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64)) | |
| 82.1% | (/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b b))) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) (*.f64 #s(literal 3 binary64) a)) | |
| 82.2% | (/.f64 #s(approx (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (*.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 a a) (/.f64 c b)))) (*.f64 a (*.f64 a #s(literal 3 binary64)))) | |
| 82.1% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 99.2% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64))))) |
| 30.4% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b))) | |
| ▶ | 95.8% | (/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64))))) |
| 97.3% | (/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a (fma.f64 a (fma.f64 #s(literal 9/8 binary64) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64))))) | |
| 92.6% | (/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -2 binary64))))) | |
| 95.9% | (/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (/.f64 (fma.f64 c (fma.f64 #s(literal 9/8 binary64) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 a #s(literal 3/2 binary64)) b)) (*.f64 b #s(literal -2 binary64))) c))) | |
| 92.7% | (/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (/.f64 (fma.f64 b #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) c))) | |
| 92.5% | (/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (*.f64 b (fma.f64 #s(literal 3/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal -2 binary64) c))))) | |
| 29.3% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) b)) | |
| ▶ | 29.4% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) |
| 30.4% | (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) | |
| 30.4% | (*.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) (/.f64 #s(literal 1/9 binary64) (*.f64 a a))) (*.f64 a #s(literal 3 binary64))) | |
| 30.4% | (*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -3 binary64))) | |
| ✓ | 30.4% | (*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
| 82.1% | (*.f64 #s(approx (neg (- (sqrt (+ (* c (* a -3)) (* b b))) b)) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) | |
| 30.4% | (*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) a)) | |
| ▶ | 92.3% | #s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) |
| 97.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 #s(literal -1/2 binary64) b) c (*.f64 a (fma.f64 c (/.f64 (*.f64 c #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b))) (*.f64 a (fma.f64 c (/.f64 (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 #s(literal 405/64 binary64) a) #s(literal -1/6 binary64))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))))))) | |
| ✓ | 97.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 #s(literal 405/64 binary64) a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) b)) #s(literal -1/6 binary64))) a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
| 95.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a #s(approx (+ (* a (+ (* (/ (* (/ (pow c 4) (pow b 6)) (* 405/64 a)) b) -1/6) (/ (* (* c (* c c)) -9/16) (pow b 5)))) (/ (* (* c c) -3/8) (* b (* b b)))) (/.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 c c) (/.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) a) (*.f64 c (*.f64 c c))) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) | |
| ✓ | 92.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) |
| 92.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal -1/2 binary64)))) b)) | |
| ▶ | 82.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
| ✓ | 82.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
| ✓ | 82.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
| 92.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (/.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c))) (*.f64 b (*.f64 b b))))) | |
| 97.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* a (+ (* (+ (* c (* (* c c) (/ -9/16 (* (* b b) (* b (* b b)))))) (* (/ (* (* c (* c (* c c))) (* 405/64 a)) (* (* (* b b) (* b (* b (* b b)))) b)) -1/6)) a) (/ (* c (* c -3/8)) (* b (* b b))))) (* -1/2 (/ c b))) (/.f64 (fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))))) b))) |
Compiled 3 123 to 1 698 computations (45.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) | |
| cost-diff | 0 | #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64))))) | |
| cost-diff | 320 | (fma.f64 a (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64))) | |
| cost-diff | 0 | (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) | |
| cost-diff | 0 | (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 0 | (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) | |
| cost-diff | 0 | (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) | |
| cost-diff | 0 | (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)) | |
| cost-diff | 0 | #s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) | |
| cost-diff | 320 | (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 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 #s(literal 1/3 binary64) a) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) | |
| cost-diff | 384 | (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64))))) |
| 7 040× | lower-fma.f32 |
| 7 030× | lower-fma.f64 |
| 4 030× | lower-/.f32 |
| 4 006× | lower-/.f64 |
| 3 746× | lower-*.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 613 |
| 0 | 121 | 591 |
| 1 | 249 | 587 |
| 2 | 613 | 579 |
| 3 | 2017 | 577 |
| 4 | 4552 | 512 |
| 5 | 6861 | 512 |
| 0 | 8024 | 512 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64))))) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) |
(/.f64 #s(literal 1/3 binary64) a) |
#s(literal 1/3 binary64) |
a |
(+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) |
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) |
c |
(*.f64 a #s(literal -3 binary64)) |
#s(literal -3 binary64) |
(*.f64 b b) |
b |
#s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64))) |
(*.f64 (/.f64 c a) #s(literal -1/3 binary64)) |
(/.f64 c a) |
#s(literal -1/3 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 (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) |
(*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b))) |
c |
(fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)) |
#s(literal -3/8 binary64) |
(/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) |
(*.f64 c a) |
a |
(*.f64 b (*.f64 b b)) |
b |
(*.f64 b b) |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) |
(/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) |
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) |
a |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
(*.f64 b b) |
b |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
#s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 b a)) |
#s(literal 1/3 binary64) |
(/.f64 b a) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64))))) |
#s(literal 1 binary64) |
#s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64)))) |
(fma.f64 a (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64))) |
a |
(fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) |
(/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) |
(*.f64 c a) |
c |
(*.f64 b (*.f64 b b)) |
b |
(*.f64 b b) |
#s(literal 9/8 binary64) |
(/.f64 #s(literal 3/2 binary64) b) |
#s(literal 3/2 binary64) |
(*.f64 (/.f64 b c) #s(literal -2 binary64)) |
(/.f64 b c) |
#s(literal -2 binary64) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64))))) |
(/.f64 (*.f64 #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a)) (*.f64 a #s(literal 3 binary64))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) |
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 a #s(literal 3 binary64))) |
(/.f64 #s(literal 1/3 binary64) a) |
#s(literal 1/3 binary64) |
a |
(+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) |
(+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) |
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) |
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) |
c |
(*.f64 a #s(literal -3 binary64)) |
#s(literal -3 binary64) |
(*.f64 b b) |
b |
#s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64))) |
#s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a)) |
(*.f64 (/.f64 c a) #s(literal -1/3 binary64)) |
(/.f64 (*.f64 c #s(literal -1/3 binary64)) a) |
(/.f64 c a) |
#s(literal -1/3 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 c (/.f64 #s(literal -1/2 binary64) b))) |
(/.f64 #s(literal -1/2 binary64) (/.f64 b c)) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b)) |
#s(literal -1/2 binary64) |
(/.f64 b c) |
b |
c |
#s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) (fma.f64 c (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) #s(literal -1/2 binary64)))) |
(*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b))) |
(*.f64 (/.f64 c b) (fma.f64 c (*.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) #s(literal -1/2 binary64))) |
c |
(fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)) |
(fma.f64 a (/.f64 (*.f64 c #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)) |
#s(literal -3/8 binary64) |
(/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) |
(/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))) |
(*.f64 c a) |
(*.f64 a c) |
a |
(*.f64 b (*.f64 b b)) |
b |
(*.f64 b b) |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) #s(approx (/ b (* 3 a)) (/.f64 b (*.f64 a #s(literal 3 binary64))))) |
(/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) |
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) |
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) |
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) |
a |
(*.f64 #s(literal -3 binary64) c) |
(*.f64 c #s(literal -3 binary64)) |
#s(literal -3 binary64) |
c |
(*.f64 b b) |
b |
(*.f64 #s(literal 3 binary64) a) |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a))) |
#s(approx (/ b (* 3 a)) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 b a)) |
(/.f64 b (*.f64 a #s(literal 3 binary64))) |
#s(literal 1/3 binary64) |
(/.f64 b a) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 b (/.f64 #s(literal -2 binary64) c) (*.f64 (/.f64 a b) (fma.f64 c (*.f64 #s(literal 9/8 binary64) (/.f64 a (*.f64 b b))) #s(literal 3/2 binary64)))))) |
#s(literal 1 binary64) |
#s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64)))) |
#s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 b (/.f64 #s(literal -2 binary64) c) (*.f64 (/.f64 a b) (fma.f64 c (*.f64 #s(literal 9/8 binary64) (/.f64 a (*.f64 b b))) #s(literal 3/2 binary64))))) |
(fma.f64 a (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64))) |
(fma.f64 b (/.f64 #s(literal -2 binary64) c) (*.f64 (/.f64 a b) (fma.f64 c (*.f64 #s(literal 9/8 binary64) (/.f64 a (*.f64 b b))) #s(literal 3/2 binary64)))) |
a |
(fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) |
(fma.f64 c (/.f64 (*.f64 a #s(literal 9/8 binary64)) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 3/2 binary64) b)) |
(/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) |
(/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))) |
(*.f64 c a) |
(*.f64 a c) |
c |
(*.f64 b (*.f64 b b)) |
b |
(*.f64 b b) |
#s(literal 9/8 binary64) |
(/.f64 #s(literal 3/2 binary64) b) |
#s(literal 3/2 binary64) |
(*.f64 (/.f64 b c) #s(literal -2 binary64)) |
(/.f64 b c) |
#s(literal -2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2109375 | (*.f64 b (*.f64 b b)) | |
| accuracy | 0.2421875 | (/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64))))) | |
| accuracy | 0.26953125 | (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) | |
| accuracy | 2.449258965023603 | #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64)))) | |
| accuracy | 0.08822250976844202 | (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) | |
| accuracy | 0.30697250976844204 | (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 0.40625 | (*.f64 #s(literal 1/3 binary64) (/.f64 b a)) | |
| accuracy | 44.73025688888078 | (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) | |
| accuracy | 0.2109375 | (*.f64 b (*.f64 b b)) | |
| accuracy | 0.2578125 | (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b))) | |
| accuracy | 0.26953125 | (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) | |
| accuracy | 4.7303987114540265 | #s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) | |
| accuracy | 0 | (/.f64 b c) | |
| accuracy | 0.24609375 | (/.f64 #s(literal -1/2 binary64) (/.f64 b c)) | |
| accuracy | 11.164103041474327 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) | |
| accuracy | 0.328125 | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) | |
| accuracy | 0.34375 | (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) | |
| accuracy | 0.38671875 | (/.f64 #s(literal 1/3 binary64) a) | |
| accuracy | 0.390625 | (*.f64 (/.f64 c a) #s(literal -1/3 binary64)) |
| 175.0ms | 180× | 1 | valid |
| 64.0ms | 76× | 0 | valid |
Compiled 541 to 71 computations (86.9% saved)
ival-mult: 83.0ms (44.2% of total)ival-div: 45.0ms (24% of total)adjust: 14.0ms (7.5% of total)const: 13.0ms (6.9% of total)ival-add: 13.0ms (6.9% of total)ival-sqrt: 10.0ms (5.3% of total)ival-sub: 7.0ms (3.7% 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 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) (patch (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/3 binary64) a) (patch (/.f64 #s(literal 1/3 binary64) a) #<representation binary64>) () ()) |
#s(alt (/.f64 #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 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b))) (patch (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) (patch #s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)) (patch (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (patch (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (fma.f64 a (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64))) (patch (fma.f64 a (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64)))) (patch #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (patch (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 c a) #s(literal -1/3 binary64)) (patch (*.f64 (/.f64 c a) #s(literal -1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/3 binary64) (/.f64 b a)) (patch (*.f64 #s(literal 1/3 binary64) (/.f64 b a)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1/2 (/ c b)) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -3 (* a (+ (* 9/128 (/ (pow c 4) (pow b 7))) (* 9/32 (/ (pow c 4) (pow b 7)))))) (* -9/16 (/ (pow c 3) (pow b 5)))))))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2))) a) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -3 (/ (+ (* -1/6 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/3 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2)))) a) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1/6 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/3 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* 1/6 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -3) 4))))) (pow a 3))) (+ (* -3 (/ (+ (* -1/6 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/3 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2))))) a) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (/ b (pow (sqrt 3) 2))) a)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -3 (/ (+ (* -1/3 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1 (/ (* a b) (pow (sqrt 3) 2)))) a))) a)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1/3 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/6 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a)) (* 3 (+ (* -1/3 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) a))) a))) a)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64))))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -3 (/ (+ (* -1/8 (* a (pow c 2))) (* 1/4 (* a (pow c 2)))) (pow b 4))) (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -3 (/ (+ (* -3/4 (* a (* c (+ (* -1/8 (* a (pow c 2))) (* 1/4 (* a (pow c 2))))))) (+ (* -3/16 (* (pow a 2) (pow c 3))) (* 2/27 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (+ (* -3 (/ (+ (* -1/8 (* a (pow c 2))) (* 1/4 (* a (pow c 2)))) (pow b 4))) (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))))) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ b c)) (taylor 0 a) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) (patch (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 (/ b c)) (* 3/2 (/ a b))) (taylor 0 a) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) (patch (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 (/ b c)) (* a (+ (* 9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))) (taylor 0 a) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) (patch (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 (/ b c)) (* a (+ (* a (+ (* 9/8 (/ c (pow b 3))) (* 27/16 (/ (* a (pow c 2)) (pow b 5))))) (* 3/2 (/ 1 b))))) (taylor 0 a) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) (patch (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (/ a c)) (sqrt -3))) (taylor inf a) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) (patch (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* -1 (/ b (* a c))))) (taylor inf a) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) (patch (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1 (/ b (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3))))))) (taylor inf a) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) (patch (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1 (/ b (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))))))) (taylor inf a) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) (patch (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (taylor -inf a) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) (patch (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (/ b (* a c))))) (taylor -inf a) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) (patch (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ b c)) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))))) (taylor -inf a) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) (patch (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ b c)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))))) (taylor -inf a) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) (patch (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ b c)) (taylor 0 c) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) (patch (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 b) (* 3/2 (/ (* a c) b))) c) (taylor 0 c) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) (patch (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 b) (* c (+ (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* 3/2 (/ a b))))) c) (taylor 0 c) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) (patch (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 b) (* c (+ (* 3/2 (/ a b)) (* c (+ (* 9/8 (/ (pow a 2) (pow b 3))) (* 27/16 (/ (* (pow a 3) c) (pow b 5)))))))) c) (taylor 0 c) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) (patch (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (/ a c)) (sqrt -3))) (taylor inf c) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) (patch (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -3))) (* -1 (/ b c))) (taylor inf c) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) (patch (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -3))) (+ (* -1 (/ b c)) (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))))) (taylor inf c) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) (patch (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -3))) (+ (* -1 (/ b c)) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3))))))) (taylor inf c) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) (patch (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (taylor -inf c) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) (patch (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (taylor -inf c) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) (patch (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ b (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (taylor -inf c) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) (patch (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -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)))) (taylor -inf c) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) (patch (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (/ a c)) (sqrt -3))) (taylor 0 b) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) (patch (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -3))) (* -1 (/ b c))) (taylor 0 b) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) (patch (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -3))) (* b (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -3)))) (/ 1 c)))) (taylor 0 b) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) (patch (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -3))) (* b (- (* b (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (sqrt -3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (/ 1 c)))) (taylor 0 b) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) (patch (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ b c)) (taylor inf b) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) (patch (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* b (- (* 3/2 (/ a (pow b 2))) (* 2 (/ 1 c)))) (taylor inf b) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) (patch (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* b (- (+ (* 9/8 (/ (* (pow a 2) c) (pow b 4))) (* 3/2 (/ a (pow b 2)))) (* 2 (/ 1 c)))) (taylor inf b) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) (patch (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* b (- (+ (* 9/8 (/ (* (pow a 2) c) (pow b 4))) (+ (* 3/2 (/ a (pow b 2))) (* 27/16 (/ (* (pow a 3) (pow c 2)) (pow b 6))))) (* 2 (/ 1 c)))) (taylor inf b) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) (patch (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/2 (/ a b)) (taylor -inf b) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) (patch (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* 9/8 (/ (* (pow a 2) c) (pow b 2))) (* 3/2 a)) b)) (taylor -inf b) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) (patch (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* 9/8 (/ (* (pow a 2) c) (pow b 2))) (+ (* 3/2 a) (* 27/16 (/ (* (pow a 3) (pow c 2)) (pow b 4))))) b)) (taylor -inf b) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) (patch (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow b 6) c))) (+ (* 9/8 (/ (* (pow a 2) c) (pow b 2))) (+ (* 3/2 a) (* 27/16 (/ (* (pow a 3) (pow c 2)) (pow b 4)))))) b)) (taylor -inf b) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) (patch (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 2/3 (/ b a)) (taylor 0 a) (#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 (/ (* a c) b)) (* 2/3 b)) a) (taylor 0 a) (#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a) (taylor 0 a) (#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 2/3 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) (taylor 0 a) (#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf a) (#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))) (taylor inf a) (#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a)))) (taylor inf a) (#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
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#s(alt (/ b c) (taylor -inf c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
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#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b))) (patch (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b))) (patch (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ()) |
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#s(alt (* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) (taylor inf a) (#s(alt (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b))) (patch (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 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 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b))) (patch (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) (taylor -inf a) (#s(alt (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b))) (patch (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) (taylor -inf a) (#s(alt (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b))) (patch (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (taylor 0 b) (#s(alt (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b))) (patch (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) (taylor 0 b) (#s(alt (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b))) (patch (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) (taylor 0 b) (#s(alt (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b))) (patch (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) (taylor 0 b) (#s(alt (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b))) (patch (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor inf b) (#s(alt (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b))) (patch (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ()) |
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#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 (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) (patch #s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) #<representation binary64>) () ())) ()) |
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#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 (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) (patch #s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) #<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 (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) (patch #s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt #s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) (patch #s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) (taylor 0 a) (#s(alt #s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) (patch #s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) (taylor 0 a) (#s(alt #s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) (patch #s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf a) (#s(alt #s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) (patch #s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) (taylor inf a) (#s(alt #s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) (patch #s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) (taylor inf a) (#s(alt #s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) (patch #s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) (taylor inf a) (#s(alt #s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) (patch #s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt #s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) (patch #s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) (taylor -inf a) (#s(alt #s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) (patch #s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -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))))) (taylor -inf a) (#s(alt #s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) (patch #s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) #<representation binary64>) () ())) ()) |
#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 (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) (patch #s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor 0 b) (#s(alt #s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) (patch #s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) (taylor 0 b) (#s(alt #s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) (patch #s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) (taylor 0 b) (#s(alt #s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) (patch #s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 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))))) (taylor 0 b) (#s(alt #s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) (patch #s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor inf b) (#s(alt #s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) (patch #s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* a c) (pow b 3)) (taylor 0 c) (#s(alt (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* a c) (pow b 3)) (taylor inf c) (#s(alt (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 3)) (taylor inf c) (#s(alt (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 3)) (taylor inf c) (#s(alt (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 3)) (taylor -inf c) (#s(alt (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* a c) (pow b 3)) (taylor -inf c) (#s(alt (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 3)) (taylor -inf c) (#s(alt (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* a c) (pow b 3)) (taylor 0 a) (#s(alt (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 3)) (taylor 0 a) (#s(alt (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* a c) (pow b 3)) (taylor inf a) (#s(alt (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 3)) (taylor inf a) (#s(alt (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 3)) (taylor inf a) (#s(alt (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 3)) (taylor -inf a) (#s(alt (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 3)) (taylor -inf a) (#s(alt (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 3)) (taylor -inf a) (#s(alt (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 3)) (taylor -inf a) (#s(alt (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 3)) (taylor 0 b) (#s(alt (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* a c) (pow b 3)) (taylor 0 b) (#s(alt (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 3)) (taylor 0 b) (#s(alt (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 3)) (taylor inf b) (#s(alt (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 3)) (taylor inf b) (#s(alt (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 3)) (taylor inf b) (#s(alt (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 3)) (taylor inf b) (#s(alt (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 3)) (taylor -inf b) (#s(alt (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 3)) (taylor -inf b) (#s(alt (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 3)) (taylor -inf b) (#s(alt (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow b 3)) (taylor -inf b) (#s(alt (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor 0 a) (#s(alt (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) (taylor 0 a) (#s(alt (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf a) (#s(alt (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) (taylor inf a) (#s(alt (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) (* 1/3 (/ b a))) (taylor inf a) (#s(alt (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -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))) (taylor inf a) (#s(alt (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) (taylor -inf a) (#s(alt (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -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))))) (taylor -inf a) (#s(alt (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) #<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 (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf c) (#s(alt (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) (taylor inf c) (#s(alt (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) #<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 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) (taylor inf b) (#s(alt (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -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)))))) (taylor -inf a) (#s(alt (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* 1/3 (/ b a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))) (taylor 0 c) (#s(alt (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 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))))) (taylor 0 c) (#s(alt (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* a (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ b c)) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))))) (taylor -inf a) (#s(alt #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64)))) (patch #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ b c)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))))) (taylor -inf a) (#s(alt #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64)))) (patch #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ b c)) (taylor 0 c) (#s(alt #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64)))) (patch #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 b) (* 3/2 (/ (* a c) b))) c) (taylor 0 c) (#s(alt #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64)))) (patch #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 b) (* c (+ (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* 3/2 (/ a b))))) c) (taylor 0 c) (#s(alt #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64)))) (patch #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 b) (* c (+ (* 3/2 (/ a b)) (* c (+ (* 9/8 (/ (pow a 2) (pow b 3))) (* 27/16 (/ (* (pow a 3) c) (pow b 5)))))))) c) (taylor 0 c) (#s(alt #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64)))) (patch #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (/ a c)) (sqrt -3))) (taylor inf c) (#s(alt #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64)))) (patch #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -3))) (* -1 (/ b c))) (taylor inf c) (#s(alt #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64)))) (patch #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -3))) (+ (* -1 (/ b c)) (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))))) (taylor inf c) (#s(alt #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64)))) (patch #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -3))) (+ (* -1 (/ b c)) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3))))))) (taylor inf c) (#s(alt #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64)))) (patch #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (taylor -inf c) (#s(alt #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64)))) (patch #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (taylor -inf c) (#s(alt #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64)))) (patch #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ b (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (taylor -inf c) (#s(alt #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64)))) (patch #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* a (- (* -9/8 (/ c (pow b 3))) (* 3/2 (/ 1 (* a b)))))) (taylor -inf a) (#s(alt (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (patch (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (* -9/8 (/ c (pow b 3))) (* 3/2 (/ 1 (* a b)))))) (taylor -inf a) (#s(alt (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (patch (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (* -9/8 (/ c (pow b 3))) (* 3/2 (/ 1 (* a b)))))) (taylor -inf a) (#s(alt (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (patch (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* 9/8 (/ (* a c) (pow b 3))) (taylor 0 b) (#s(alt (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (patch (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 9/8 (* a c)) (* 3/2 (pow b 2))) (pow b 3)) (taylor 0 b) (#s(alt (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (patch (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 9/8 (* a c)) (* 3/2 (pow b 2))) (pow b 3)) (taylor 0 b) (#s(alt (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (patch (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 9/8 (* a c)) (* 3/2 (pow b 2))) (pow b 3)) (taylor 0 b) (#s(alt (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (patch (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (/ 3/2 b) (taylor inf b) (#s(alt (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (patch (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 3/2 (* 9/8 (/ (* a c) (pow b 2)))) b) (taylor inf b) (#s(alt (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (patch (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 3/2 (* 9/8 (/ (* a c) (pow b 2)))) b) (taylor inf b) (#s(alt (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (patch (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 3/2 (* 9/8 (/ (* a c) (pow b 2)))) b) (taylor inf b) (#s(alt (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (patch (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (/ 3/2 b) (taylor -inf b) (#s(alt (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (patch (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -9/8 (/ (* a c) (pow b 2))) 3/2) b)) (taylor -inf b) (#s(alt (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (patch (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -9/8 (/ (* a c) (pow b 2))) 3/2) b)) (taylor -inf b) (#s(alt (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (patch (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -9/8 (/ (* a c) (pow b 2))) 3/2) b)) (taylor -inf b) (#s(alt (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (patch (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ c a)) (taylor 0 c) (#s(alt (*.f64 (/.f64 c a) #s(literal -1/3 binary64)) (patch (*.f64 (/.f64 c a) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ c a)) (taylor 0 c) (#s(alt (*.f64 (/.f64 c a) #s(literal -1/3 binary64)) (patch (*.f64 (/.f64 c a) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ c a)) (taylor 0 c) (#s(alt (*.f64 (/.f64 c a) #s(literal -1/3 binary64)) (patch (*.f64 (/.f64 c a) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ c a)) (taylor 0 c) (#s(alt (*.f64 (/.f64 c a) #s(literal -1/3 binary64)) (patch (*.f64 (/.f64 c a) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ c a)) (taylor inf c) (#s(alt (*.f64 (/.f64 c a) #s(literal -1/3 binary64)) (patch (*.f64 (/.f64 c a) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ c a)) (taylor inf c) (#s(alt (*.f64 (/.f64 c a) #s(literal -1/3 binary64)) (patch (*.f64 (/.f64 c a) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ c a)) (taylor inf c) (#s(alt (*.f64 (/.f64 c a) #s(literal -1/3 binary64)) (patch (*.f64 (/.f64 c a) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ c a)) (taylor inf c) (#s(alt (*.f64 (/.f64 c a) #s(literal -1/3 binary64)) (patch (*.f64 (/.f64 c a) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ c a)) (taylor -inf c) (#s(alt (*.f64 (/.f64 c a) #s(literal -1/3 binary64)) (patch (*.f64 (/.f64 c a) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ c a)) (taylor -inf c) (#s(alt (*.f64 (/.f64 c a) #s(literal -1/3 binary64)) (patch (*.f64 (/.f64 c a) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ c a)) (taylor -inf c) (#s(alt (*.f64 (/.f64 c a) #s(literal -1/3 binary64)) (patch (*.f64 (/.f64 c a) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ c a)) (taylor -inf c) (#s(alt (*.f64 (/.f64 c a) #s(literal -1/3 binary64)) (patch (*.f64 (/.f64 c a) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ c a)) (taylor 0 a) (#s(alt (*.f64 (/.f64 c a) #s(literal -1/3 binary64)) (patch (*.f64 (/.f64 c a) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ c a)) (taylor 0 a) (#s(alt (*.f64 (/.f64 c a) #s(literal -1/3 binary64)) (patch (*.f64 (/.f64 c a) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ c a)) (taylor 0 a) (#s(alt (*.f64 (/.f64 c a) #s(literal -1/3 binary64)) (patch (*.f64 (/.f64 c a) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ c a)) (taylor 0 a) (#s(alt (*.f64 (/.f64 c a) #s(literal -1/3 binary64)) (patch (*.f64 (/.f64 c a) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ c a)) (taylor inf a) (#s(alt (*.f64 (/.f64 c a) #s(literal -1/3 binary64)) (patch (*.f64 (/.f64 c a) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ c a)) (taylor inf a) (#s(alt (*.f64 (/.f64 c a) #s(literal -1/3 binary64)) (patch (*.f64 (/.f64 c a) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ c a)) (taylor inf a) (#s(alt (*.f64 (/.f64 c a) #s(literal -1/3 binary64)) (patch (*.f64 (/.f64 c a) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ c a)) (taylor inf a) (#s(alt (*.f64 (/.f64 c a) #s(literal -1/3 binary64)) (patch (*.f64 (/.f64 c a) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ c a)) (taylor -inf a) (#s(alt (*.f64 (/.f64 c a) #s(literal -1/3 binary64)) (patch (*.f64 (/.f64 c a) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ c a)) (taylor -inf a) (#s(alt (*.f64 (/.f64 c a) #s(literal -1/3 binary64)) (patch (*.f64 (/.f64 c a) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ c a)) (taylor -inf a) (#s(alt (*.f64 (/.f64 c a) #s(literal -1/3 binary64)) (patch (*.f64 (/.f64 c a) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ c a)) (taylor -inf a) (#s(alt (*.f64 (/.f64 c a) #s(literal -1/3 binary64)) (patch (*.f64 (/.f64 c a) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 3) (taylor 0 b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 3) (taylor 0 b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 3) (taylor 0 b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 3) (taylor 0 b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 3) (taylor inf b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 3) (taylor inf b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 3) (taylor inf b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 3) (taylor inf b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 3) (taylor -inf b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 3) (taylor -inf b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 3) (taylor -inf b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 3) (taylor -inf b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ b a)) (taylor 0 b) (#s(alt (*.f64 #s(literal 1/3 binary64) (/.f64 b a)) (patch (*.f64 #s(literal 1/3 binary64) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ b a)) (taylor 0 b) (#s(alt (*.f64 #s(literal 1/3 binary64) (/.f64 b a)) (patch (*.f64 #s(literal 1/3 binary64) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ b a)) (taylor 0 b) (#s(alt (*.f64 #s(literal 1/3 binary64) (/.f64 b a)) (patch (*.f64 #s(literal 1/3 binary64) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ b a)) (taylor 0 b) (#s(alt (*.f64 #s(literal 1/3 binary64) (/.f64 b a)) (patch (*.f64 #s(literal 1/3 binary64) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ b a)) (taylor inf b) (#s(alt (*.f64 #s(literal 1/3 binary64) (/.f64 b a)) (patch (*.f64 #s(literal 1/3 binary64) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ b a)) (taylor inf b) (#s(alt (*.f64 #s(literal 1/3 binary64) (/.f64 b a)) (patch (*.f64 #s(literal 1/3 binary64) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ b a)) (taylor inf b) (#s(alt (*.f64 #s(literal 1/3 binary64) (/.f64 b a)) (patch (*.f64 #s(literal 1/3 binary64) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ b a)) (taylor inf b) (#s(alt (*.f64 #s(literal 1/3 binary64) (/.f64 b a)) (patch (*.f64 #s(literal 1/3 binary64) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ b a)) (taylor -inf b) (#s(alt (*.f64 #s(literal 1/3 binary64) (/.f64 b a)) (patch (*.f64 #s(literal 1/3 binary64) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ b a)) (taylor -inf b) (#s(alt (*.f64 #s(literal 1/3 binary64) (/.f64 b a)) (patch (*.f64 #s(literal 1/3 binary64) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ b a)) (taylor -inf b) (#s(alt (*.f64 #s(literal 1/3 binary64) (/.f64 b a)) (patch (*.f64 #s(literal 1/3 binary64) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ b a)) (taylor -inf b) (#s(alt (*.f64 #s(literal 1/3 binary64) (/.f64 b a)) (patch (*.f64 #s(literal 1/3 binary64) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ b a)) (taylor 0 a) (#s(alt (*.f64 #s(literal 1/3 binary64) (/.f64 b a)) (patch (*.f64 #s(literal 1/3 binary64) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ b a)) (taylor 0 a) (#s(alt (*.f64 #s(literal 1/3 binary64) (/.f64 b a)) (patch (*.f64 #s(literal 1/3 binary64) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ b a)) (taylor 0 a) (#s(alt (*.f64 #s(literal 1/3 binary64) (/.f64 b a)) (patch (*.f64 #s(literal 1/3 binary64) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ b a)) (taylor 0 a) (#s(alt (*.f64 #s(literal 1/3 binary64) (/.f64 b a)) (patch (*.f64 #s(literal 1/3 binary64) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ b a)) (taylor inf a) (#s(alt (*.f64 #s(literal 1/3 binary64) (/.f64 b a)) (patch (*.f64 #s(literal 1/3 binary64) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ b a)) (taylor inf a) (#s(alt (*.f64 #s(literal 1/3 binary64) (/.f64 b a)) (patch (*.f64 #s(literal 1/3 binary64) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ b a)) (taylor inf a) (#s(alt (*.f64 #s(literal 1/3 binary64) (/.f64 b a)) (patch (*.f64 #s(literal 1/3 binary64) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ b a)) (taylor inf a) (#s(alt (*.f64 #s(literal 1/3 binary64) (/.f64 b a)) (patch (*.f64 #s(literal 1/3 binary64) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ b a)) (taylor -inf a) (#s(alt (*.f64 #s(literal 1/3 binary64) (/.f64 b a)) (patch (*.f64 #s(literal 1/3 binary64) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ b a)) (taylor -inf a) (#s(alt (*.f64 #s(literal 1/3 binary64) (/.f64 b a)) (patch (*.f64 #s(literal 1/3 binary64) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ b a)) (taylor -inf a) (#s(alt (*.f64 #s(literal 1/3 binary64) (/.f64 b a)) (patch (*.f64 #s(literal 1/3 binary64) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ b a)) (taylor -inf a) (#s(alt (*.f64 #s(literal 1/3 binary64) (/.f64 b a)) (patch (*.f64 #s(literal 1/3 binary64) (/.f64 b a)) #<representation binary64>) () ())) ()) |
174 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | a | @ | 0 | (+ (* a (+ (* (/ (* c a) (* b (* b b))) 9/8) (/ 3/2 b))) (* (/ b c) -2)) |
| 1.0ms | c | @ | 0 | (* c (+ (* -3/8 (/ (* c a) (* b (* b b)))) (/ -1/2 b))) |
| 1.0ms | a | @ | 0 | (* c (+ (* -3/8 (/ (* c a) (* b (* b b)))) (/ -1/2 b))) |
| 1.0ms | a | @ | inf | (* c (+ (* -3/8 (/ (* c a) (* b (* b b)))) (/ -1/2 b))) |
| 1.0ms | c | @ | -inf | (* c (+ (* -3/8 (/ (* c a) (* b (* b b)))) (/ -1/2 b))) |
| 1× | egg-herbie |
| 9 172× | lower-fma.f64 |
| 9 172× | lower-fma.f32 |
| 6 618× | lower-*.f64 |
| 6 618× | lower-*.f32 |
| 6 258× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1125 | 14048 |
| 1 | 3637 | 13690 |
| 0 | 8130 | 13114 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -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 (+ (* -3 (* a (+ (* 9/128 (/ (pow c 4) (pow b 7))) (* 9/32 (/ (pow c 4) (pow b 7)))))) (* -9/16 (/ (pow c 3) (pow b 5)))))))) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2))) a) |
(/ (+ (* -3 (/ (+ (* -1/6 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/3 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2)))) a) |
(/ (+ (* -3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1/6 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/3 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* 1/6 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -3) 4))))) (pow a 3))) (+ (* -3 (/ (+ (* -1/6 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/3 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2))))) a) |
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (/ b (pow (sqrt 3) 2))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -3 (/ (+ (* -1/3 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1 (/ (* a b) (pow (sqrt 3) 2)))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1/3 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/6 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a)) (* 3 (+ (* -1/3 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) a))) a))) a)) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -3 (* c (+ (* 9/128 (/ (pow a 3) (pow b 7))) (* 9/32 (/ (pow a 3) (pow b 7)))))) (* -9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b)))) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2)))) |
(+ (* -3 (/ (+ (* -1/6 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2))))) |
(+ (* -3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1/6 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* 1/6 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4))))) (pow c 3))) (+ (* -3 (/ (+ (* -1/6 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2)))))) |
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) |
(+ (* -1 (/ b (* a (pow (sqrt 3) 2)))) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (+ (* 3 (/ (+ (* -1/3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) c)) (/ (* b c) (* a (pow (sqrt 3) 2)))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -3 (+ (* -1/3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) (* 3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (+ (* -1/3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/6 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt 3) 4))))) c))) c)) (/ (* b c) (* a (pow (sqrt 3) 2)))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* -3 (* b (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* a (pow (sqrt -3) 2)))))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -3 (* b (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3)))) (* 1/6 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 4)))))))) (* -3 (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))))))) (/ 1 (* a (pow (sqrt -3) 2)))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -3 (/ (+ (* 9/128 (* (pow a 3) (pow c 4))) (* 9/32 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -3 (/ (+ (* -1/8 (* a (pow c 2))) (* 1/4 (* a (pow c 2)))) (pow b 4))) (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -3 (/ (+ (* -3/4 (* a (* c (+ (* -1/8 (* a (pow c 2))) (* 1/4 (* a (pow c 2))))))) (+ (* -3/16 (* (pow a 2) (pow c 3))) (* 2/27 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (+ (* -3 (/ (+ (* -1/8 (* a (pow c 2))) (* 1/4 (* a (pow c 2)))) (pow b 4))) (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))))) |
(* -2 (/ b c)) |
(+ (* -2 (/ b c)) (* 3/2 (/ a b))) |
(+ (* -2 (/ b c)) (* a (+ (* 9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))) |
(+ (* -2 (/ b c)) (* a (+ (* a (+ (* 9/8 (/ c (pow b 3))) (* 27/16 (/ (* a (pow c 2)) (pow b 5))))) (* 3/2 (/ 1 b))))) |
(* -1 (* (sqrt (/ a c)) (sqrt -3))) |
(* a (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* -1 (/ b (* a c))))) |
(* a (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1 (/ b (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3))))))) |
(* a (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1 (/ b (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))))))) |
(* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) |
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (/ b (* a c))))) |
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ b c)) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))))) |
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ b c)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))))) |
(* -2 (/ b c)) |
(/ (+ (* -2 b) (* 3/2 (/ (* a c) b))) c) |
(/ (+ (* -2 b) (* c (+ (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* 3/2 (/ a b))))) c) |
(/ (+ (* -2 b) (* c (+ (* 3/2 (/ a b)) (* c (+ (* 9/8 (/ (pow a 2) (pow b 3))) (* 27/16 (/ (* (pow a 3) c) (pow b 5)))))))) c) |
(* -1 (* (sqrt (/ a c)) (sqrt -3))) |
(+ (* -1 (* (sqrt (/ a c)) (sqrt -3))) (* -1 (/ b c))) |
(+ (* -1 (* (sqrt (/ a c)) (sqrt -3))) (+ (* -1 (/ b c)) (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))))) |
(+ (* -1 (* (sqrt (/ a c)) (sqrt -3))) (+ (* -1 (/ b c)) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3))))))) |
(* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) |
(+ (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (+ b (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -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))) |
(+ (* -1 (* (sqrt (/ a c)) (sqrt -3))) (* -1 (/ b c))) |
(+ (* -1 (* (sqrt (/ a c)) (sqrt -3))) (* b (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -3)))) (/ 1 c)))) |
(+ (* -1 (* (sqrt (/ a c)) (sqrt -3))) (* b (- (* b (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (sqrt -3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (/ 1 c)))) |
(* -2 (/ b c)) |
(* b (- (* 3/2 (/ a (pow b 2))) (* 2 (/ 1 c)))) |
(* b (- (+ (* 9/8 (/ (* (pow a 2) c) (pow b 4))) (* 3/2 (/ a (pow b 2)))) (* 2 (/ 1 c)))) |
(* b (- (+ (* 9/8 (/ (* (pow a 2) c) (pow b 4))) (+ (* 3/2 (/ a (pow b 2))) (* 27/16 (/ (* (pow a 3) (pow c 2)) (pow b 6))))) (* 2 (/ 1 c)))) |
(* -3/2 (/ a b)) |
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) c) (pow b 2))) (* 3/2 a)) b)) |
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) c) (pow b 2))) (+ (* 3/2 a) (* 27/16 (/ (* (pow a 3) (pow c 2)) (pow b 4))))) b)) |
(* -1 (/ (+ (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow b 6) c))) (+ (* 9/8 (/ (* (pow a 2) c) (pow b 2))) (+ (* 3/2 a) (* 27/16 (/ (* (pow a 3) (pow c 2)) (pow b 4)))))) b)) |
(* 2/3 (/ b a)) |
(/ (+ (* -1/2 (/ (* a c) b)) (* 2/3 b)) a) |
(/ (+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/ (+ (* 2/3 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 (* (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 (/ 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 (/ (+ (* -1/3 b) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -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))))) |
(* 2/3 (/ b a)) |
(+ (* -1/2 (/ c b)) (* 2/3 (/ b a))) |
(+ (* 2/3 (/ b a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))) |
(+ (* 2/3 (/ 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 (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c))))) |
(* 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 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -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))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))) |
(+ (* 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))))) |
(* 2/3 (/ b a)) |
(* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))) |
(* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 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))) (* 2/3 (/ 1 a)))))) |
(* 1/2 (/ c b)) |
(* -1 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -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 (/ (+ (* -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)) |
(/ 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) |
(* -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)))) |
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(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
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(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
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(/ b c) |
(/ b c) |
(/ b c) |
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(/ b c) |
(/ b c) |
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(* (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))))) |
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(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
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(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) |
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(/ (+ (* -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) |
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(* 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)))) |
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(* -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))))))) |
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
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(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1/3 (/ (* b (- a (* -1 a))) (pow a 2))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 1/3 (/ (- a (* -1 a)) (pow a 2)))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 1/3 (/ (- a (* -1 a)) (pow a 2))))))) |
(* -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 (/ (- a (* -1 a)) (pow a 2)))))))) |
(/ -1/2 b) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(* -3/8 (/ (* a c) (pow b 3))) |
(* c (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* c (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* c (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* -3/8 (/ (* a c) (pow b 3))) |
(* -1 (* c (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))) |
(* -1 (* c (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))) |
(* -1 (* c (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))) |
(/ -1/2 b) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(* -3/8 (/ (* a c) (pow b 3))) |
(* a (- (* -3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b))))) |
(* a (- (* -3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b))))) |
(* a (- (* -3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b))))) |
(* -3/8 (/ (* a c) (pow b 3))) |
(* -1 (* a (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))))) |
(* -1 (* a (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))))) |
(* -1 (* a (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))))) |
(* -3/8 (/ (* a c) (pow b 3))) |
(/ (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))) (pow b 3)) |
(/ (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))) (pow b 3)) |
(/ (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))) (pow b 3)) |
(/ -1/2 b) |
(/ (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) b) |
(/ (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) b) |
(/ (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) b) |
(/ -1/2 b) |
(* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 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))))) |
(* -1/2 (/ c b)) |
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(* 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))))))) |
(* 1/3 (* (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 (/ (* 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 (/ 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 (* (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 (* 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)))))))) |
(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))))) |
(* -2 (/ b c)) |
(+ (* -2 (/ b c)) (* 3/2 (/ a b))) |
(+ (* -2 (/ b c)) (* a (+ (* 9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))) |
(+ (* -2 (/ b c)) (* a (+ (* 9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))) |
(* 9/8 (/ (* (pow a 2) c) (pow b 3))) |
(* (pow a 2) (+ (* 9/8 (/ c (pow b 3))) (* 3/2 (/ 1 (* a b))))) |
(* (pow a 2) (+ (* -2 (/ b (* (pow a 2) c))) (+ (* 9/8 (/ c (pow b 3))) (/ 3/2 (* a b))))) |
(* (pow a 2) (+ (* -2 (/ b (* (pow a 2) c))) (+ (* 9/8 (/ c (pow b 3))) (/ 3/2 (* a b))))) |
(* 9/8 (/ (* (pow a 2) c) (pow b 3))) |
(* (pow a 2) (+ (* 9/8 (/ c (pow b 3))) (* 3/2 (/ 1 (* a b))))) |
(* (pow a 2) (+ (* -1 (/ (- (* 2 (/ b (* a c))) (* 3/2 (/ 1 b))) a)) (* 9/8 (/ c (pow b 3))))) |
(* (pow a 2) (+ (* -1 (/ (- (* 2 (/ b (* a c))) (* 3/2 (/ 1 b))) a)) (* 9/8 (/ c (pow b 3))))) |
(* -2 (/ b c)) |
(/ (+ (* -2 b) (* 3/2 (/ (* a c) b))) c) |
(/ (+ (* -2 b) (* c (+ (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* 3/2 (/ a b))))) c) |
(/ (+ (* -2 b) (* c (+ (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* 3/2 (/ a b))))) c) |
(* 9/8 (/ (* (pow a 2) c) (pow b 3))) |
(* c (+ (* 9/8 (/ (pow a 2) (pow b 3))) (* 3/2 (/ a (* b c))))) |
(* c (+ (* -2 (/ b (pow c 2))) (+ (* 9/8 (/ (pow a 2) (pow b 3))) (* 3/2 (/ a (* b c)))))) |
(* c (+ (* -2 (/ b (pow c 2))) (+ (* 9/8 (/ (pow a 2) (pow b 3))) (* 3/2 (/ a (* b c)))))) |
(* 9/8 (/ (* (pow a 2) c) (pow b 3))) |
(* -1 (* c (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))))) |
(* -1 (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* -1 (/ (+ (* -2 (/ b c)) (* 3/2 (/ a b))) c))))) |
(* -1 (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* -1 (/ (+ (* -2 (/ b c)) (* 3/2 (/ a b))) c))))) |
(* 9/8 (/ (* (pow a 2) c) (pow b 3))) |
(/ (+ (* 9/8 (* (pow a 2) c)) (* 3/2 (* a (pow b 2)))) (pow b 3)) |
(/ (+ (* 9/8 (* (pow a 2) c)) (* (pow b 2) (+ (* -2 (/ (pow b 2) c)) (* 3/2 a)))) (pow b 3)) |
(/ (+ (* 9/8 (* (pow a 2) c)) (* (pow b 2) (+ (* -2 (/ (pow b 2) c)) (* 3/2 a)))) (pow b 3)) |
(* -2 (/ b c)) |
(* b (- (* 3/2 (/ a (pow b 2))) (* 2 (/ 1 c)))) |
(* b (- (+ (* 9/8 (/ (* (pow a 2) c) (pow b 4))) (* 3/2 (/ a (pow b 2)))) (* 2 (/ 1 c)))) |
(* b (- (+ (* 9/8 (/ (* (pow a 2) c) (pow b 4))) (* 3/2 (/ a (pow b 2)))) (* 2 (/ 1 c)))) |
(* -2 (/ b c)) |
(* -1 (* b (+ (* -3/2 (/ a (pow b 2))) (* 2 (/ 1 c))))) |
(* -1 (* b (+ (* -3/2 (/ a (pow b 2))) (+ (* -9/8 (/ (* (pow a 2) c) (pow b 4))) (* 2 (/ 1 c)))))) |
(* -1 (* b (+ (* -3/2 (/ a (pow b 2))) (+ (* -9/8 (/ (* (pow a 2) c) (pow b 4))) (* 2 (/ 1 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 (+ (* -3 (* a (+ (* 9/128 (/ (pow c 4) (pow b 7))) (* 9/32 (/ (pow c 4) (pow b 7)))))) (* -9/16 (/ (pow c 3) (pow b 5)))))))) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2))) a) |
(/ (+ (* -3 (/ (+ (* -1/6 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/3 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2)))) a) |
(/ (+ (* -3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1/6 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/3 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* 1/6 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -3) 4))))) (pow a 3))) (+ (* -3 (/ (+ (* -1/6 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/3 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2))))) a) |
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (/ b (pow (sqrt 3) 2))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -3 (/ (+ (* -1/3 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1 (/ (* a b) (pow (sqrt 3) 2)))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1/3 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/6 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a)) (* 3 (+ (* -1/3 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) a))) a))) a)) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -3 (* c (+ (* 9/128 (/ (pow a 3) (pow b 7))) (* 9/32 (/ (pow a 3) (pow b 7)))))) (* -9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b)))) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2)))) |
(+ (* -3 (/ (+ (* -1/6 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2))))) |
(+ (* -3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1/6 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* 1/6 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4))))) (pow c 3))) (+ (* -3 (/ (+ (* -1/6 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2)))))) |
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) |
(+ (* -1 (/ b (* a (pow (sqrt 3) 2)))) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (+ (* 3 (/ (+ (* -1/3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) c)) (/ (* b c) (* a (pow (sqrt 3) 2)))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -3 (+ (* -1/3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) (* 3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (+ (* -1/3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/6 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt 3) 4))))) c))) c)) (/ (* b c) (* a (pow (sqrt 3) 2)))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* -3 (* b (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* a (pow (sqrt -3) 2)))))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -3 (* b (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3)))) (* 1/6 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 4)))))))) (* -3 (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))))))) (/ 1 (* a (pow (sqrt -3) 2)))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -3 (/ (+ (* 9/128 (* (pow a 3) (pow c 4))) (* 9/32 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -3 (/ (+ (* -1/8 (* a (pow c 2))) (* 1/4 (* a (pow c 2)))) (pow b 4))) (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -3 (/ (+ (* -3/4 (* a (* c (+ (* -1/8 (* a (pow c 2))) (* 1/4 (* a (pow c 2))))))) (+ (* -3/16 (* (pow a 2) (pow c 3))) (* 2/27 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (+ (* -3 (/ (+ (* -1/8 (* a (pow c 2))) (* 1/4 (* a (pow c 2)))) (pow b 4))) (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))))) |
(* -2 (/ b c)) |
(+ (* -2 (/ b c)) (* 3/2 (/ a b))) |
(+ (* -2 (/ b c)) (* a (+ (* 9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))) |
(+ (* -2 (/ b c)) (* a (+ (* a (+ (* 9/8 (/ c (pow b 3))) (* 27/16 (/ (* a (pow c 2)) (pow b 5))))) (* 3/2 (/ 1 b))))) |
(* -1 (* (sqrt (/ a c)) (sqrt -3))) |
(* a (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* -1 (/ b (* a c))))) |
(* a (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1 (/ b (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3))))))) |
(* a (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1 (/ b (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))))))) |
(* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) |
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (/ b (* a c))))) |
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ b c)) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))))) |
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ b c)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))))) |
(* -2 (/ b c)) |
(/ (+ (* -2 b) (* 3/2 (/ (* a c) b))) c) |
(/ (+ (* -2 b) (* c (+ (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* 3/2 (/ a b))))) c) |
(/ (+ (* -2 b) (* c (+ (* 3/2 (/ a b)) (* c (+ (* 9/8 (/ (pow a 2) (pow b 3))) (* 27/16 (/ (* (pow a 3) c) (pow b 5)))))))) c) |
(* -1 (* (sqrt (/ a c)) (sqrt -3))) |
(+ (* -1 (* (sqrt (/ a c)) (sqrt -3))) (* -1 (/ b c))) |
(+ (* -1 (* (sqrt (/ a c)) (sqrt -3))) (+ (* -1 (/ b c)) (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))))) |
(+ (* -1 (* (sqrt (/ a c)) (sqrt -3))) (+ (* -1 (/ b c)) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3))))))) |
(* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) |
(+ (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (+ b (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -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))) |
(+ (* -1 (* (sqrt (/ a c)) (sqrt -3))) (* -1 (/ b c))) |
(+ (* -1 (* (sqrt (/ a c)) (sqrt -3))) (* b (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -3)))) (/ 1 c)))) |
(+ (* -1 (* (sqrt (/ a c)) (sqrt -3))) (* b (- (* b (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (sqrt -3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (/ 1 c)))) |
(* -2 (/ b c)) |
(* b (- (* 3/2 (/ a (pow b 2))) (* 2 (/ 1 c)))) |
(* b (- (+ (* 9/8 (/ (* (pow a 2) c) (pow b 4))) (* 3/2 (/ a (pow b 2)))) (* 2 (/ 1 c)))) |
(* b (- (+ (* 9/8 (/ (* (pow a 2) c) (pow b 4))) (+ (* 3/2 (/ a (pow b 2))) (* 27/16 (/ (* (pow a 3) (pow c 2)) (pow b 6))))) (* 2 (/ 1 c)))) |
(* -3/2 (/ a b)) |
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) c) (pow b 2))) (* 3/2 a)) b)) |
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) c) (pow b 2))) (+ (* 3/2 a) (* 27/16 (/ (* (pow a 3) (pow c 2)) (pow b 4))))) b)) |
(* -1 (/ (+ (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow b 6) c))) (+ (* 9/8 (/ (* (pow a 2) c) (pow b 2))) (+ (* 3/2 a) (* 27/16 (/ (* (pow a 3) (pow c 2)) (pow b 4)))))) b)) |
(/ 3/2 b) |
(+ (* 9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))) |
(+ (* 9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))) |
(+ (* 9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))) |
(* 9/8 (/ (* a c) (pow b 3))) |
(* c (+ (* 9/8 (/ a (pow b 3))) (* 3/2 (/ 1 (* b c))))) |
(* c (+ (* 9/8 (/ a (pow b 3))) (* 3/2 (/ 1 (* b c))))) |
(* c (+ (* 9/8 (/ a (pow b 3))) (* 3/2 (/ 1 (* b c))))) |
(* 9/8 (/ (* a c) (pow b 3))) |
(* -1 (* c (- (* -9/8 (/ a (pow b 3))) (* 3/2 (/ 1 (* b c)))))) |
(* -1 (* c (- (* -9/8 (/ a (pow b 3))) (* 3/2 (/ 1 (* b c)))))) |
(* -1 (* c (- (* -9/8 (/ a (pow b 3))) (* 3/2 (/ 1 (* b c)))))) |
(/ 3/2 b) |
(+ (* 9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))) |
(+ (* 9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))) |
(+ (* 9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))) |
(* 9/8 (/ (* a c) (pow b 3))) |
(* a (+ (* 9/8 (/ c (pow b 3))) (* 3/2 (/ 1 (* a b))))) |
(* a (+ (* 9/8 (/ c (pow b 3))) (* 3/2 (/ 1 (* a b))))) |
(* a (+ (* 9/8 (/ c (pow b 3))) (* 3/2 (/ 1 (* a b))))) |
(* 9/8 (/ (* a c) (pow b 3))) |
(* -1 (* a (- (* -9/8 (/ c (pow b 3))) (* 3/2 (/ 1 (* a b)))))) |
(* -1 (* a (- (* -9/8 (/ c (pow b 3))) (* 3/2 (/ 1 (* a b)))))) |
(* -1 (* a (- (* -9/8 (/ c (pow b 3))) (* 3/2 (/ 1 (* a b)))))) |
(* 9/8 (/ (* a c) (pow b 3))) |
(/ (+ (* 9/8 (* a c)) (* 3/2 (pow b 2))) (pow b 3)) |
(/ (+ (* 9/8 (* a c)) (* 3/2 (pow b 2))) (pow b 3)) |
(/ (+ (* 9/8 (* a c)) (* 3/2 (pow b 2))) (pow b 3)) |
(/ 3/2 b) |
(/ (+ 3/2 (* 9/8 (/ (* a c) (pow b 2)))) b) |
(/ (+ 3/2 (* 9/8 (/ (* a c) (pow b 2)))) b) |
(/ (+ 3/2 (* 9/8 (/ (* a c) (pow b 2)))) b) |
(/ 3/2 b) |
(* -1 (/ (- (* -9/8 (/ (* a c) (pow b 2))) 3/2) b)) |
(* -1 (/ (- (* -9/8 (/ (* a c) (pow b 2))) 3/2) b)) |
(* -1 (/ (- (* -9/8 (/ (* a c) (pow b 2))) 3/2) b)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(* 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)) |
| Outputs |
|---|
(* -1/2 (/ c b)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b b)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 c b) (*.f64 a (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -3 (* a (+ (* 9/128 (/ (pow c 4) (pow b 7))) (* 9/32 (/ (pow c 4) (pow b 7)))))) (* -9/16 (/ (pow c 3) (pow b 5)))))))) |
(fma.f64 a (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (*.f64 a (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal 45/128 binary64)))))) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(/.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -3 binary64)))) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2))) a) |
(/.f64 (-.f64 (/.f64 b #s(literal -3 binary64)) (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) a) |
(/ (+ (* -3 (/ (+ (* -1/6 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/3 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2)))) a) |
(/.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)) (*.f64 b b)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/6 binary64)) (*.f64 a a)) (-.f64 (/.f64 b #s(literal -3 binary64)) (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -3 binary64))))) a) |
(/ (+ (* -3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1/6 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/3 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* 1/6 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -3) 4))))) (pow a 3))) (+ (* -3 (/ (+ (* -1/6 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/3 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2))))) a) |
(/.f64 (fma.f64 #s(literal -3 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)) (*.f64 b b)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/6 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 a c))) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 a a)) (*.f64 c (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 4 binary64)))))) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)) (*.f64 b b)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/6 binary64)) (*.f64 a a))) (-.f64 (/.f64 b #s(literal -3 binary64)) (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -3 binary64))))) a) |
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (/ b (pow (sqrt 3) 2))) a)) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (/.f64 b #s(literal 3 binary64))) (neg.f64 a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -3 (/ (+ (* -1/3 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1 (/ (* a b) (pow (sqrt 3) 2)))) a))) a)) |
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) #s(literal -1/6 binary64)) a) (/.f64 (*.f64 b a) #s(literal -3 binary64))) a))) (neg.f64 a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1/3 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/6 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a)) (* 3 (+ (* -1/3 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) a))) a))) a)) |
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 b a) #s(literal -3 binary64)) (/.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) #s(literal -1/6 binary64))) (sqrt.f64 #s(literal 3 binary64))) (neg.f64 (sqrt.f64 (/.f64 a c))) (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 a a)) (*.f64 c (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 4 binary64)))))) a) (*.f64 #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) #s(literal -1/6 binary64)))) a)) a))) (neg.f64 a)) |
(* -1/2 (/ c b)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 #s(literal -1/2 binary64) b))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -3 (* c (+ (* 9/128 (/ (pow a 3) (pow b 7))) (* 9/32 (/ (pow a 3) (pow b 7)))))) (* -9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 (*.f64 c #s(literal -3 binary64)) (*.f64 (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 7 binary64))) #s(literal 45/128 binary64)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(/.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -3 binary64)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2)))) |
(-.f64 (/.f64 b (*.f64 a #s(literal -3 binary64))) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) |
(+ (* -3 (/ (+ (* -1/6 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2))))) |
(fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))) #s(literal 1/6 binary64)) (*.f64 c c)) (-.f64 (/.f64 b (*.f64 a #s(literal -3 binary64))) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))))) |
(+ (* -3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1/6 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* 1/6 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4))))) (pow c 3))) (+ (* -3 (/ (+ (* -1/6 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2)))))) |
(fma.f64 #s(literal -3 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b (*.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))) #s(literal 1/6 binary64))) (sqrt.f64 #s(literal -3 binary64))) (neg.f64 (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 c c) (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 4 binary64))))) (*.f64 c (*.f64 c c))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))) #s(literal 1/6 binary64)) (*.f64 c c))) (-.f64 (/.f64 b (*.f64 a #s(literal -3 binary64))) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))))) |
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) |
(+ (* -1 (/ b (* a (pow (sqrt 3) 2)))) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal -3 binary64)))) |
(+ (* -1 (/ (+ (* 3 (/ (+ (* -1/3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) c)) (/ (* b c) (* a (pow (sqrt 3) 2)))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(-.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))) #s(literal -1/6 binary64)) c) (/.f64 (*.f64 c b) (*.f64 a #s(literal 3 binary64)))) c)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -3 (+ (* -1/3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) (* 3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (+ (* -1/3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/6 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt 3) 4))))) c))) c)) (/ (* b c) (* a (pow (sqrt 3) 2)))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
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b |
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b |
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(pow b 2) |
(*.f64 b b) |
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(+ (* -3 (* a c)) (pow b 2)) |
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(+ (* -3 (* a c)) (pow b 2)) |
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(* -3 (* a c)) |
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(* a (+ (* -3 c) (/ (pow b 2) a))) |
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(* -3 (* a c)) |
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(pow b 2) |
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(/.f64 (*.f64 (*.f64 c (*.f64 a a)) #s(literal 9/8 binary64)) (*.f64 b (*.f64 b b))) |
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(* 9/8 (/ (* (pow a 2) c) (pow b 3))) |
(/.f64 (*.f64 (*.f64 c (*.f64 a a)) #s(literal 9/8 binary64)) (*.f64 b (*.f64 b b))) |
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(*.f64 (neg.f64 a) (fma.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -9/8 binary64) (/.f64 #s(literal -3/2 binary64) (*.f64 b a)))) |
(* -1 (* a (- (* -9/8 (/ c (pow b 3))) (* 3/2 (/ 1 (* a b)))))) |
(*.f64 (neg.f64 a) (fma.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -9/8 binary64) (/.f64 #s(literal -3/2 binary64) (*.f64 b a)))) |
(* 9/8 (/ (* a c) (pow b 3))) |
(/.f64 (*.f64 (*.f64 c a) #s(literal 9/8 binary64)) (*.f64 b (*.f64 b b))) |
(/ (+ (* 9/8 (* a c)) (* 3/2 (pow b 2))) (pow b 3)) |
(/.f64 (fma.f64 (*.f64 c a) #s(literal 9/8 binary64) (*.f64 (*.f64 b b) #s(literal 3/2 binary64))) (*.f64 b (*.f64 b b))) |
(/ (+ (* 9/8 (* a c)) (* 3/2 (pow b 2))) (pow b 3)) |
(/.f64 (fma.f64 (*.f64 c a) #s(literal 9/8 binary64) (*.f64 (*.f64 b b) #s(literal 3/2 binary64))) (*.f64 b (*.f64 b b))) |
(/ (+ (* 9/8 (* a c)) (* 3/2 (pow b 2))) (pow b 3)) |
(/.f64 (fma.f64 (*.f64 c a) #s(literal 9/8 binary64) (*.f64 (*.f64 b b) #s(literal 3/2 binary64))) (*.f64 b (*.f64 b b))) |
(/ 3/2 b) |
(/.f64 #s(literal 3/2 binary64) b) |
(/ (+ 3/2 (* 9/8 (/ (* a c) (pow b 2)))) b) |
(/.f64 (fma.f64 #s(literal 9/8 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64)) b) |
(/ (+ 3/2 (* 9/8 (/ (* a c) (pow b 2)))) b) |
(/.f64 (fma.f64 #s(literal 9/8 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64)) b) |
(/ (+ 3/2 (* 9/8 (/ (* a c) (pow b 2)))) b) |
(/.f64 (fma.f64 #s(literal 9/8 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64)) b) |
(/ 3/2 b) |
(/.f64 #s(literal 3/2 binary64) b) |
(* -1 (/ (- (* -9/8 (/ (* a c) (pow b 2))) 3/2) b)) |
(/.f64 (fma.f64 (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) (neg.f64 b)) |
(* -1 (/ (- (* -9/8 (/ (* a c) (pow b 2))) 3/2) b)) |
(/.f64 (fma.f64 (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) (neg.f64 b)) |
(* -1 (/ (- (* -9/8 (/ (* a c) (pow b 2))) 3/2) b)) |
(/.f64 (fma.f64 (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) (neg.f64 b)) |
(* -1/3 (/ c a)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) c) a) |
(* -1/3 (/ c a)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) c) a) |
(* -1/3 (/ c a)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) c) a) |
(* -1/3 (/ c a)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) c) a) |
(* -1/3 (/ c a)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) c) a) |
(* -1/3 (/ c a)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) c) a) |
(* -1/3 (/ c a)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) c) a) |
(* -1/3 (/ c a)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) c) a) |
(* -1/3 (/ c a)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) c) a) |
(* -1/3 (/ c a)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) c) a) |
(* -1/3 (/ c a)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) c) a) |
(* -1/3 (/ c a)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) c) a) |
(* -1/3 (/ c a)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) c) a) |
(* -1/3 (/ c a)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) c) a) |
(* -1/3 (/ c a)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) c) a) |
(* -1/3 (/ c a)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) c) a) |
(* -1/3 (/ c a)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) c) a) |
(* -1/3 (/ c a)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) c) a) |
(* -1/3 (/ c a)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) c) a) |
(* -1/3 (/ c a)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) c) a) |
(* -1/3 (/ c a)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) c) a) |
(* -1/3 (/ c a)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) c) a) |
(* -1/3 (/ c a)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) c) a) |
(* -1/3 (/ c a)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) c) a) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(* 1/3 (/ b a)) |
(/.f64 (*.f64 b #s(literal 1/3 binary64)) a) |
(* 1/3 (/ b a)) |
(/.f64 (*.f64 b #s(literal 1/3 binary64)) a) |
(* 1/3 (/ b a)) |
(/.f64 (*.f64 b #s(literal 1/3 binary64)) a) |
(* 1/3 (/ b a)) |
(/.f64 (*.f64 b #s(literal 1/3 binary64)) a) |
(* 1/3 (/ b a)) |
(/.f64 (*.f64 b #s(literal 1/3 binary64)) a) |
(* 1/3 (/ b a)) |
(/.f64 (*.f64 b #s(literal 1/3 binary64)) a) |
(* 1/3 (/ b a)) |
(/.f64 (*.f64 b #s(literal 1/3 binary64)) a) |
(* 1/3 (/ b a)) |
(/.f64 (*.f64 b #s(literal 1/3 binary64)) a) |
(* 1/3 (/ b a)) |
(/.f64 (*.f64 b #s(literal 1/3 binary64)) a) |
(* 1/3 (/ b a)) |
(/.f64 (*.f64 b #s(literal 1/3 binary64)) a) |
(* 1/3 (/ b a)) |
(/.f64 (*.f64 b #s(literal 1/3 binary64)) a) |
(* 1/3 (/ b a)) |
(/.f64 (*.f64 b #s(literal 1/3 binary64)) a) |
(* 1/3 (/ b a)) |
(/.f64 (*.f64 b #s(literal 1/3 binary64)) a) |
(* 1/3 (/ b a)) |
(/.f64 (*.f64 b #s(literal 1/3 binary64)) a) |
(* 1/3 (/ b a)) |
(/.f64 (*.f64 b #s(literal 1/3 binary64)) a) |
(* 1/3 (/ b a)) |
(/.f64 (*.f64 b #s(literal 1/3 binary64)) a) |
(* 1/3 (/ b a)) |
(/.f64 (*.f64 b #s(literal 1/3 binary64)) a) |
(* 1/3 (/ b a)) |
(/.f64 (*.f64 b #s(literal 1/3 binary64)) a) |
(* 1/3 (/ b a)) |
(/.f64 (*.f64 b #s(literal 1/3 binary64)) a) |
(* 1/3 (/ b a)) |
(/.f64 (*.f64 b #s(literal 1/3 binary64)) a) |
(* 1/3 (/ b a)) |
(/.f64 (*.f64 b #s(literal 1/3 binary64)) a) |
(* 1/3 (/ b a)) |
(/.f64 (*.f64 b #s(literal 1/3 binary64)) a) |
(* 1/3 (/ b a)) |
(/.f64 (*.f64 b #s(literal 1/3 binary64)) a) |
(* 1/3 (/ b a)) |
(/.f64 (*.f64 b #s(literal 1/3 binary64)) a) |
| 4 848× | lower-*.f32 |
| 4 826× | lower-*.f64 |
| 3 966× | lower-fma.f32 |
| 3 956× | lower-fma.f64 |
| 3 308× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 455 |
| 0 | 121 | 413 |
| 1 | 499 | 407 |
| 2 | 4248 | 407 |
| 0 | 8282 | 407 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) |
(/.f64 #s(literal 1/3 binary64) 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 b c))) |
(/.f64 b c) |
(*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) |
(fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)) |
(/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) |
(/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) |
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) |
(fma.f64 a (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64))))) |
#s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64)))) |
(fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) |
(*.f64 (/.f64 c a) #s(literal -1/3 binary64)) |
(*.f64 b (*.f64 b b)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 b a)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a))))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a))))) |
(/.f64 #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a)))))) |
(/.f64 (neg.f64 #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a))) (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) (neg.f64 a))) |
(/.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) (/.f64 #s(literal 1 binary64) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a)))) |
(/.f64 (/.f64 #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) (/.f64 #s(literal 1/3 binary64) a)) |
(/.f64 (*.f64 #s(literal 1 binary64) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a))) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (/.f64 #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a)) (/.f64 #s(literal 1/3 binary64) a)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) |
(pow.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a)) (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))) a) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a)))) (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a))))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a)))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a)) (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))) a)) |
(*.f64 #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a)) (/.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))) |
(*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a))))) |
(*.f64 (*.f64 a #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a))))))) |
(*.f64 (*.f64 (/.f64 #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a)) (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))) a) #s(literal 1 binary64)) |
(*.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a))) |
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(*.f64 (-.f64 (/.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 3 binary64)) (*.f64 a #s(literal 3 binary64)))) (*.f64 #s(approx (/ b (* 3 a)) (/.f64 b (*.f64 a #s(literal 3 binary64)))) #s(approx (/ b (* 3 a)) (/.f64 b (*.f64 a #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) #s(approx (/ b (* 3 a)) (/.f64 b (*.f64 a #s(literal 3 binary64))))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) (*.f64 a #s(literal -3 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 a #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))) |
(/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 a #s(literal -3 binary64))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) a) |
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1 binary64)) (*.f64 a #s(literal 3 binary64))) |
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(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) (neg.f64 a)) |
(/.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) a) #s(literal 3 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) #s(literal -1/3 binary64)) (neg.f64 a)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) (neg.f64 a)) |
(pow.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 a (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) (*.f64 a #s(literal 3 binary64)))) |
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(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 a (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) #s(literal -1 binary64))) |
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(*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) |
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a)) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) |
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(/.f64 (sqrt.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 (*.f64 c c) c) #s(literal -27 binary64)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))) (sqrt.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c)))))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (*.f64 b b) (*.f64 b b)))) (sqrt.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 b b)))) |
(pow.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(*.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 (*.f64 c c) c) #s(literal -27 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) #s(literal 1/2 binary64))) |
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(*.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (*.f64 b b) (*.f64 b b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 b b))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) |
(+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 b b)) |
(exp.f64 (log.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal 3 binary64)))) |
(-.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (-.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 b b))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 b b)))) |
(-.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))) (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 (*.f64 c c) c) #s(literal -27 binary64))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) |
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(fma.f64 #s(literal 1 binary64) (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) |
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) |
(fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) |
(fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))) |
(fma.f64 (*.f64 b b) #s(literal 1 binary64) (*.f64 a (*.f64 c #s(literal -3 binary64)))) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) |
(fma.f64 #s(literal 3 binary64) (*.f64 a (neg.f64 c)) (*.f64 b b)) |
(fma.f64 (*.f64 a #s(literal 3 binary64)) (neg.f64 c) (*.f64 b b)) |
(fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) |
(fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) |
(fma.f64 #s(literal -1 binary64) (*.f64 c (*.f64 a #s(literal 3 binary64))) (*.f64 b b)) |
(fma.f64 #s(literal -1 binary64) (*.f64 b (neg.f64 b)) (*.f64 a (*.f64 c #s(literal -3 binary64)))) |
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)) |
(fma.f64 (neg.f64 c) (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) |
(fma.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) b (*.f64 a (*.f64 c #s(literal -3 binary64)))) |
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 a (*.f64 c #s(literal -3 binary64)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 b b)) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (*.f64 b b) (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) (-.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 (*.f64 c c) c) #s(literal -27 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 (*.f64 c c) c) #s(literal -27 binary64)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 (*.f64 c c) c) #s(literal -27 binary64)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 b (*.f64 b (*.f64 b b)) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) b) b)))) |
(/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 (*.f64 c c) c) #s(literal -27 binary64)))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))) |
(/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (*.f64 b b) (*.f64 b b))) (-.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 b b))) |
(/.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) |
(/.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) |
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(pow.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/2 binary64)) |
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(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b)))) #s(literal 81/64 binary64) (/.f64 #s(literal 9/4 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal 9/8 binary64))) #s(literal 3/2 binary64)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))) #s(literal 729/512 binary64) (/.f64 #s(literal 27/8 binary64) (*.f64 b (*.f64 b b))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 a (*.f64 c #s(literal 9/8 binary64))) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 3/2 binary64) b)) (-.f64 (/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal 9/8 binary64))) (*.f64 a (*.f64 c #s(literal 9/8 binary64)))) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))) (/.f64 #s(literal 9/4 binary64) (*.f64 b b)))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))) #s(literal 729/512 binary64) (/.f64 #s(literal 27/8 binary64) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b)))) #s(literal 81/64 binary64) (/.f64 #s(literal 9/4 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal 9/8 binary64))) #s(literal 3/2 binary64)) (*.f64 (*.f64 b b) (*.f64 b b)))))) |
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal 9/8 binary64))) (*.f64 a (*.f64 c #s(literal 9/8 binary64)))) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))) (/.f64 #s(literal 9/4 binary64) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 a (*.f64 c #s(literal 9/8 binary64))) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 3/2 binary64) b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 c #s(literal -1/3 binary64)))) |
(/.f64 #s(literal -1/3 binary64) (/.f64 a c)) |
(/.f64 (*.f64 c #s(literal -1/3 binary64)) a) |
(/.f64 (neg.f64 (*.f64 c #s(literal -1/3 binary64))) (neg.f64 a)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (neg.f64 c)) (neg.f64 a)) |
(/.f64 (*.f64 (neg.f64 c) #s(literal -1/3 binary64)) (neg.f64 a)) |
(pow.f64 (/.f64 a (*.f64 c #s(literal -1/3 binary64))) #s(literal -1 binary64)) |
(*.f64 c (/.f64 #s(literal -1/3 binary64) a)) |
(*.f64 c (*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1/3 binary64))) |
(*.f64 (/.f64 c a) #s(literal -1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) (/.f64 c a)) |
(*.f64 (*.f64 c #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) a)) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 b)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)) #s(literal 3/2 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) |
(neg.f64 (*.f64 b (*.f64 b b))) |
(/.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) (pow.f64 (+.f64 #s(literal 0 binary64) b) #s(literal 3 binary64))) |
(/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))) (pow.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) #s(literal 3 binary64))) |
(pow.f64 b #s(literal 3 binary64)) |
(pow.f64 (*.f64 b b) #s(literal 3/2 binary64)) |
(pow.f64 (neg.f64 b) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 b #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (neg.f64 b) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 3 binary64)) |
(pow.f64 (exp.f64 (log.f64 (neg.f64 b))) #s(literal 3 binary64)) |
(*.f64 b (*.f64 b b)) |
(*.f64 b (*.f64 b (neg.f64 b))) |
(*.f64 (*.f64 b b) b) |
(*.f64 (*.f64 b b) (neg.f64 b)) |
(*.f64 (neg.f64 b) (*.f64 b b)) |
(*.f64 (*.f64 b (*.f64 b b)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b))) |
(*.f64 (*.f64 b (neg.f64 b)) b) |
(*.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 b) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 b) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 b (neg.f64 b)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) b)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal -3 binary64))) (/.f64 b (*.f64 a #s(literal -3 binary64)))) |
(neg.f64 (/.f64 b (*.f64 a #s(literal -3 binary64)))) |
(neg.f64 (/.f64 (neg.f64 b) (*.f64 a #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) b) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal 1/3 binary64) b))) |
(/.f64 #s(literal 1/3 binary64) (/.f64 a b)) |
(/.f64 b (*.f64 a #s(literal 3 binary64))) |
(/.f64 (neg.f64 b) (*.f64 a #s(literal -3 binary64))) |
(/.f64 (/.f64 b a) #s(literal 3 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) b))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) b) a) |
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (*.f64 a #s(literal -3 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 a)) |
(/.f64 (*.f64 b #s(literal 1 binary64)) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 b)) (neg.f64 a)) |
(/.f64 (*.f64 b #s(literal -1/3 binary64)) (neg.f64 a)) |
(/.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (*.f64 #s(literal -1/3 binary64) b) (neg.f64 a)) |
(/.f64 (*.f64 (neg.f64 b) #s(literal 1/3 binary64)) (neg.f64 a)) |
(pow.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) b) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) b) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 a (*.f64 #s(literal 1/3 binary64) b)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 b a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) b) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64))) |
(*.f64 b (/.f64 #s(literal 1/3 binary64) a)) |
(*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
(*.f64 (/.f64 b a) #s(literal 1/3 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 b (*.f64 a #s(literal -3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) b)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
Compiled 40 311 to 3 282 computations (91.9% saved)
52 alts after pruning (46 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 425 | 17 | 1 442 |
| Fresh | 17 | 29 | 46 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 4 | 5 |
| Total | 1 446 | 52 | 1 498 |
| Status | Accuracy | Program |
|---|---|---|
| 32.3% | (fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (/.f64 b (*.f64 a #s(literal -3 binary64)))) | |
| 32.3% | (fma.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 a #s(literal -3 binary64)))) | |
| 30.0% | (fma.f64 (neg.f64 b) (/.f64 #s(literal 1/3 binary64) a) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 a #s(literal 3 binary64)))) | |
| 31.4% | (/.f64 (fma.f64 (neg.f64 b) a (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 #s(literal 1 binary64) a))) (*.f64 a (*.f64 a #s(literal 3 binary64)))) | |
| 32.6% | (/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b (neg.f64 b)))) (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a #s(literal 9 binary64))))) | |
| 30.4% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) a) #s(literal 3 binary64)) | |
| 99.4% | (/.f64 (/.f64 #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a)) (/.f64 #s(literal 1/3 binary64) a)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) | |
| 29.7% | (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) a) (*.f64 a (*.f64 b #s(literal 1/3 binary64)))) (*.f64 a a)) | |
| 29.8% | (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) a) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 a b)) (*.f64 a (*.f64 a #s(literal 3 binary64)))) | |
| 30.0% | (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 b #s(literal 1/3 binary64))) a) | |
| 30.4% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a)) | |
| 30.5% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a)) | |
| 30.4% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 a (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a)))))) (*.f64 #s(literal 3 binary64) a)) | |
| 30.4% | (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 1/3 binary64)) a) | |
| 30.4% | (/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64)) | |
| 99.0% | (/.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a)))) | |
| 99.2% | (/.f64 (neg.f64 #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a))) (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) (neg.f64 a))) | |
| 82.1% | (/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b b))) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) (*.f64 #s(literal 3 binary64) a)) | |
| 82.2% | (/.f64 #s(approx (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (*.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 a a) (/.f64 c b)))) (*.f64 a (*.f64 a #s(literal 3 binary64)))) | |
| 82.1% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 99.1% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) a) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64))))) | |
| 30.4% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b))) | |
| 99.2% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a)) a))) | |
| 99.0% | (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a)))))) | |
| 95.8% | (/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a #s(approx (+ (* (/ (* c a) (* b (* b b))) 9/8) (/ 3/2 b)) (/.f64 (fma.f64 #s(literal 9/8 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64)) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64))))) | |
| 92.6% | (/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a #s(approx (+ (* (/ (* c a) (* b (* b b))) 9/8) (/ 3/2 b)) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64))))) | |
| 92.7% | (/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (/.f64 (fma.f64 b #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) c))) | |
| 92.5% | (/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (*.f64 b (fma.f64 #s(literal 3/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal -2 binary64) c))))) | |
| 29.3% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) b)) | |
| ✓ | 29.4% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) |
| 99.1% | (*.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a))) | |
| 99.2% | (*.f64 (/.f64 #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a)) (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))) a) | |
| 99.2% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) (neg.f64 a))) (neg.f64 #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a)))) | |
| 30.4% | (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) | |
| 30.4% | (*.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) (/.f64 #s(literal 1/9 binary64) (*.f64 a a))) (*.f64 a #s(literal 3 binary64))) | |
| 30.4% | (*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -3 binary64))) | |
| ✓ | 30.4% | (*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
| 82.1% | (*.f64 #s(approx (neg (- (sqrt (+ (* c (* a -3)) (* b b))) b)) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) | |
| 30.4% | (*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) a)) | |
| 92.2% | #s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c #s(approx (+ (* -3/8 (/ (* c a) (* b (* b b)))) (/ -1/2 b)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal -1/2 binary64)) b)))) | |
| 92.1% | #s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c #s(approx (+ (* -3/8 (/ (* c a) (* b (* b b)))) (/ -1/2 b)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) (*.f64 #s(literal -3/8 binary64) (*.f64 c a))) (*.f64 b (*.f64 b b)))))) | |
| 92.2% | #s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) #s(approx (* c (+ (* -3/8 (/ (* c a) (* b (* b b)))) (/ -1/2 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))))) | |
| 97.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 #s(literal -1/2 binary64) b) c (*.f64 a (fma.f64 c (/.f64 (*.f64 c #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b))) (*.f64 a (fma.f64 c (/.f64 (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 #s(literal 405/64 binary64) a) #s(literal -1/6 binary64))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))))))) | |
| 95.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a #s(approx (+ (* a (+ (* (/ (* (/ (pow c 4) (pow b 6)) (* 405/64 a)) b) -1/6) (/ (* (* c (* c c)) -9/16) (pow b 5)))) (/ (* (* c c) -3/8) (* b (* b b)))) (/.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 c c) (/.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) a) (*.f64 c (*.f64 c c))) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) | |
| ✓ | 92.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) |
| 82.3% | #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))) | |
| 92.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal -1/2 binary64)))) b)) | |
| ✓ | 82.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
| 82.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b)))) | |
| 82.3% | #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))) | |
| ✓ | 82.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
| ✓ | 82.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
Compiled 4 344 to 1 288 computations (70.3% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b b))) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 #s(approx (neg (- (sqrt (+ (* c (* a -3)) (* b b))) b)) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal -1/2 binary64)))) b)) |
#s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c #s(approx (+ (* -3/8 (/ (* c a) (* b (* b b)))) (/ -1/2 b)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal -1/2 binary64)) b)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a #s(approx (+ (* (/ (* c a) (* b (* b b))) 9/8) (/ 3/2 b)) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64))))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) a)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c #s(approx (+ (* -3/8 (/ (* c a) (* b (* b b)))) (/ -1/2 b)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) (*.f64 #s(literal -3/8 binary64) (*.f64 c a))) (*.f64 b (*.f64 b b)))))) |
(/.f64 #s(approx (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (*.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 a a) (/.f64 c b)))) (*.f64 a (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) |
#s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (*.f64 b (fma.f64 #s(literal 3/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal -2 binary64) c))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (/.f64 (fma.f64 b #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) 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)) |
(*.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) a)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 b #s(literal 1/3 binary64))) a) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (/.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c))) (*.f64 b (*.f64 b b))))) |
#s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) #s(approx (* c (+ (* -3/8 (/ (* c a) (* b (* b b)))) (/ -1/2 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))))) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 c (/.f64 #s(literal -1/2 binary64) b) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) (*.f64 (*.f64 c c) (fma.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) c)))) b)) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b))) |
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64)) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 a (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a)))))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) (*.f64 a (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 (*.f64 #s(literal -1/2 binary64) c) a)))) b)) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (/.f64 b (*.f64 a #s(literal -3 binary64)))) |
(*.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) (/.f64 #s(literal 1/9 binary64) (*.f64 a a))) (*.f64 a #s(literal 3 binary64))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) b)) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a))) |
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/3 binary64) a) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 a #s(literal 3 binary64)))) |
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 a #s(literal -3 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) a) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 a b)) (*.f64 a (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) a) (*.f64 a (*.f64 b #s(literal 1/3 binary64)))) (*.f64 a a)) |
(/.f64 (fma.f64 (neg.f64 b) a (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 #s(literal 1 binary64) a))) (*.f64 a (*.f64 a #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a)) (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))) a) |
(*.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b (fma.f64 b (*.f64 #s(literal -3 binary64) (*.f64 a (/.f64 c (*.f64 b b)))) b))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 a #s(literal -3 binary64)) b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 a #s(literal 3 binary64))) (*.f64 a b)) (*.f64 a (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) #s(literal 1/3 binary64)) (*.f64 a b)) (*.f64 a (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 a #s(literal 3 binary64)) (*.f64 b (neg.f64 a))) (*.f64 a (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 #s(literal 1/3 binary64) a)) #s(literal 3 binary64) (*.f64 b (neg.f64 a))) (*.f64 a (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) #s(literal 1/3 binary64) (*.f64 b (neg.f64 a))) (*.f64 a (*.f64 a #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a #s(approx (+ (* (/ (* c a) (* b (* b b))) 9/8) (/ 3/2 b)) (/.f64 (fma.f64 #s(literal 9/8 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64)) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64))))) |
(/.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a)))) |
(*.f64 (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 a #s(literal -3 binary64)) b)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64))))) |
(/.f64 (neg.f64 #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a))) (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) (neg.f64 a))) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a)) a))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 a #s(literal -3 binary64))) (*.f64 (*.f64 a #s(literal 3 binary64)) (neg.f64 b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (*.f64 a #s(literal -3 binary64)))) |
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#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64)))))) |
| Outputs |
|---|
(/.f64 (/.f64 #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a)) (/.f64 #s(literal 1/3 binary64) a)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) |
5 calls:
| 36.0ms | a |
| 32.0ms | b |
| 31.0ms | (/.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)) |
| 30.0ms | (*.f64 #s(literal 3 binary64) a) |
| 30.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | a |
| 99.4% | 1 | b |
| 99.4% | 1 | c |
| 99.4% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 99.4% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 38 to 26 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b b))) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 #s(approx (neg (- (sqrt (+ (* c (* a -3)) (* b b))) b)) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal -1/2 binary64)))) b)) |
#s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c #s(approx (+ (* -3/8 (/ (* c a) (* b (* b b)))) (/ -1/2 b)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal -1/2 binary64)) b)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a #s(approx (+ (* (/ (* c a) (* b (* b b))) 9/8) (/ 3/2 b)) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64))))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) a)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c #s(approx (+ (* -3/8 (/ (* c a) (* b (* b b)))) (/ -1/2 b)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) (*.f64 #s(literal -3/8 binary64) (*.f64 c a))) (*.f64 b (*.f64 b b)))))) |
(/.f64 #s(approx (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (*.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 a a) (/.f64 c b)))) (*.f64 a (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) |
#s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (*.f64 b (fma.f64 #s(literal 3/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal -2 binary64) c))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (/.f64 (fma.f64 b #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) 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)) |
(*.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) a)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 b #s(literal 1/3 binary64))) a) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (/.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c))) (*.f64 b (*.f64 b b))))) |
#s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) #s(approx (* c (+ (* -3/8 (/ (* c a) (* b (* b b)))) (/ -1/2 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))))) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 c (/.f64 #s(literal -1/2 binary64) b) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) (*.f64 (*.f64 c c) (fma.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) c)))) b)) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b))) |
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64)) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 a (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a)))))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) (*.f64 a (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 (*.f64 #s(literal -1/2 binary64) c) a)))) b)) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (/.f64 b (*.f64 a #s(literal -3 binary64)))) |
(*.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) (/.f64 #s(literal 1/9 binary64) (*.f64 a a))) (*.f64 a #s(literal 3 binary64))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) b)) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a))) |
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/3 binary64) a) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 a #s(literal 3 binary64)))) |
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 a #s(literal -3 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) a) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 a b)) (*.f64 a (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) a) (*.f64 a (*.f64 b #s(literal 1/3 binary64)))) (*.f64 a a)) |
(/.f64 (fma.f64 (neg.f64 b) a (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 #s(literal 1 binary64) a))) (*.f64 a (*.f64 a #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a)) (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))) a) |
(*.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b (fma.f64 b (*.f64 #s(literal -3 binary64) (*.f64 a (/.f64 c (*.f64 b b)))) b))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 a #s(literal -3 binary64)) b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 a #s(literal 3 binary64))) (*.f64 a b)) (*.f64 a (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) #s(literal 1/3 binary64)) (*.f64 a b)) (*.f64 a (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 a #s(literal 3 binary64)) (*.f64 b (neg.f64 a))) (*.f64 a (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 #s(literal 1/3 binary64) a)) #s(literal 3 binary64) (*.f64 b (neg.f64 a))) (*.f64 a (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) #s(literal 1/3 binary64) (*.f64 b (neg.f64 a))) (*.f64 a (*.f64 a #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a #s(approx (+ (* (/ (* c a) (* b (* b b))) 9/8) (/ 3/2 b)) (/.f64 (fma.f64 #s(literal 9/8 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64)) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64))))) |
(/.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a)))) |
(*.f64 (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 a #s(literal -3 binary64)) b)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64))))) |
(/.f64 (neg.f64 #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a))) (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) (neg.f64 a))) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a)) a))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 a #s(literal -3 binary64))) (*.f64 (*.f64 a #s(literal 3 binary64)) (neg.f64 b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (*.f64 a #s(literal -3 binary64)))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a)) a))) |
5 calls:
| 22.0ms | b |
| 19.0ms | c |
| 18.0ms | (*.f64 #s(literal 3 binary64) a) |
| 18.0ms | a |
| 17.0ms | (/.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 |
|---|---|---|
| 99.2% | 1 | a |
| 99.2% | 1 | b |
| 99.2% | 1 | c |
| 99.2% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 99.2% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 38 to 26 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b b))) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 #s(approx (neg (- (sqrt (+ (* c (* a -3)) (* b b))) b)) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal -1/2 binary64)))) b)) |
#s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c #s(approx (+ (* -3/8 (/ (* c a) (* b (* b b)))) (/ -1/2 b)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal -1/2 binary64)) b)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a #s(approx (+ (* (/ (* c a) (* b (* b b))) 9/8) (/ 3/2 b)) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64))))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) a)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c #s(approx (+ (* -3/8 (/ (* c a) (* b (* b b)))) (/ -1/2 b)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) (*.f64 #s(literal -3/8 binary64) (*.f64 c a))) (*.f64 b (*.f64 b b)))))) |
(/.f64 #s(approx (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (*.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 a a) (/.f64 c b)))) (*.f64 a (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) |
#s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (*.f64 b (fma.f64 #s(literal 3/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal -2 binary64) c))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (/.f64 (fma.f64 b #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) 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)) |
(*.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) a)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 b #s(literal 1/3 binary64))) a) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (/.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c))) (*.f64 b (*.f64 b b))))) |
#s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) #s(approx (* c (+ (* -3/8 (/ (* c a) (* b (* b b)))) (/ -1/2 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))))) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 c (/.f64 #s(literal -1/2 binary64) b) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) (*.f64 (*.f64 c c) (fma.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) c)))) b)) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b))) |
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64)) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 a (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a)))))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) (*.f64 a (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 (*.f64 #s(literal -1/2 binary64) c) a)))) b)) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (/.f64 b (*.f64 a #s(literal -3 binary64)))) |
(*.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) (/.f64 #s(literal 1/9 binary64) (*.f64 a a))) (*.f64 a #s(literal 3 binary64))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) b)) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a))) |
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/3 binary64) a) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 a #s(literal 3 binary64)))) |
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 a #s(literal -3 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) a) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 a b)) (*.f64 a (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) a) (*.f64 a (*.f64 b #s(literal 1/3 binary64)))) (*.f64 a a)) |
(/.f64 (fma.f64 (neg.f64 b) a (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 #s(literal 1 binary64) a))) (*.f64 a (*.f64 a #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a)) (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))) a) |
(*.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b (fma.f64 b (*.f64 #s(literal -3 binary64) (*.f64 a (/.f64 c (*.f64 b b)))) b))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 a #s(literal -3 binary64)) b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 a #s(literal 3 binary64))) (*.f64 a b)) (*.f64 a (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) #s(literal 1/3 binary64)) (*.f64 a b)) (*.f64 a (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 a #s(literal 3 binary64)) (*.f64 b (neg.f64 a))) (*.f64 a (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 #s(literal 1/3 binary64) a)) #s(literal 3 binary64) (*.f64 b (neg.f64 a))) (*.f64 a (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) #s(literal 1/3 binary64) (*.f64 b (neg.f64 a))) (*.f64 a (*.f64 a #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a #s(approx (+ (* (/ (* c a) (* b (* b b))) 9/8) (/ 3/2 b)) (/.f64 (fma.f64 #s(literal 9/8 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64)) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64))))) |
(/.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a)))) |
(*.f64 (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 a #s(literal -3 binary64)) b)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64))))) |
(/.f64 (neg.f64 #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a))) (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) (neg.f64 a))) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))))) |
| Outputs |
|---|
(/.f64 (neg.f64 #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a))) (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) (neg.f64 a))) |
5 calls:
| 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)) |
| 26.0ms | (*.f64 #s(literal 3 binary64) a) |
| 21.0ms | b |
| 20.0ms | c |
| 17.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | a |
| 99.2% | 1 | b |
| 99.2% | 1 | c |
| 99.2% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 99.2% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 38 to 26 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b b))) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 #s(approx (neg (- (sqrt (+ (* c (* a -3)) (* b b))) b)) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal -1/2 binary64)))) b)) |
#s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c #s(approx (+ (* -3/8 (/ (* c a) (* b (* b b)))) (/ -1/2 b)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal -1/2 binary64)) b)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a #s(approx (+ (* (/ (* c a) (* b (* b b))) 9/8) (/ 3/2 b)) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64))))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) a)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c #s(approx (+ (* -3/8 (/ (* c a) (* b (* b b)))) (/ -1/2 b)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) (*.f64 #s(literal -3/8 binary64) (*.f64 c a))) (*.f64 b (*.f64 b b)))))) |
(/.f64 #s(approx (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (*.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 a a) (/.f64 c b)))) (*.f64 a (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) |
#s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (*.f64 b (fma.f64 #s(literal 3/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal -2 binary64) c))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (/.f64 (fma.f64 b #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) 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)) |
(*.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) a)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 b #s(literal 1/3 binary64))) a) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (/.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c))) (*.f64 b (*.f64 b b))))) |
#s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) #s(approx (* c (+ (* -3/8 (/ (* c a) (* b (* b b)))) (/ -1/2 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))))) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 c (/.f64 #s(literal -1/2 binary64) b) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) (*.f64 (*.f64 c c) (fma.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) c)))) b)) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b))) |
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64)) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 a (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a)))))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) (*.f64 a (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 (*.f64 #s(literal -1/2 binary64) c) a)))) b)) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (/.f64 b (*.f64 a #s(literal -3 binary64)))) |
(*.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) (/.f64 #s(literal 1/9 binary64) (*.f64 a a))) (*.f64 a #s(literal 3 binary64))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) b)) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a))) |
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/3 binary64) a) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 a #s(literal 3 binary64)))) |
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 a #s(literal -3 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) a) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 a b)) (*.f64 a (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) a) (*.f64 a (*.f64 b #s(literal 1/3 binary64)))) (*.f64 a a)) |
(/.f64 (fma.f64 (neg.f64 b) a (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 #s(literal 1 binary64) a))) (*.f64 a (*.f64 a #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a)) (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))) a) |
(*.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b (fma.f64 b (*.f64 #s(literal -3 binary64) (*.f64 a (/.f64 c (*.f64 b b)))) b))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 a #s(literal -3 binary64)) b)) (*.f64 (*.f64 a a) #s(literal 9 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 a #s(literal 3 binary64))) (*.f64 a b)) (*.f64 a (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) #s(literal 1/3 binary64)) (*.f64 a b)) (*.f64 a (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 a #s(literal 3 binary64)) (*.f64 b (neg.f64 a))) (*.f64 a (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 #s(literal 1/3 binary64) a)) #s(literal 3 binary64) (*.f64 b (neg.f64 a))) (*.f64 a (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) #s(literal 1/3 binary64) (*.f64 b (neg.f64 a))) (*.f64 a (*.f64 a #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a #s(approx (+ (* (/ (* c a) (* b (* b b))) 9/8) (/ 3/2 b)) (/.f64 (fma.f64 #s(literal 9/8 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64)) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64))))) |
(/.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a)))) |
(*.f64 (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 a #s(literal -3 binary64)) b)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64))))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a)) (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))) a) |
5 calls:
| 23.0ms | b |
| 19.0ms | c |
| 19.0ms | (*.f64 #s(literal 3 binary64) a) |
| 19.0ms | a |
| 16.0ms | (/.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 |
|---|---|---|
| 99.2% | 1 | c |
| 99.2% | 1 | a |
| 99.2% | 1 | b |
| 99.2% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 99.2% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 38 to 26 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b b))) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 #s(approx (neg (- (sqrt (+ (* c (* a -3)) (* b b))) b)) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal -1/2 binary64)))) b)) |
#s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c #s(approx (+ (* -3/8 (/ (* c a) (* b (* b b)))) (/ -1/2 b)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal -1/2 binary64)) b)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a #s(approx (+ (* (/ (* c a) (* b (* b b))) 9/8) (/ 3/2 b)) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64))))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) a)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c #s(approx (+ (* -3/8 (/ (* c a) (* b (* b b)))) (/ -1/2 b)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) (*.f64 #s(literal -3/8 binary64) (*.f64 c a))) (*.f64 b (*.f64 b b)))))) |
(/.f64 #s(approx (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (*.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 a a) (/.f64 c b)))) (*.f64 a (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) |
#s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (*.f64 b (fma.f64 #s(literal 3/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal -2 binary64) c))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (/.f64 (fma.f64 b #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) 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)) |
(*.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) a)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 b #s(literal 1/3 binary64))) a) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) b) (/.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c))) (*.f64 b (*.f64 b b))))) |
#s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) #s(approx (* c (+ (* -3/8 (/ (* c a) (* b (* b b)))) (/ -1/2 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))))) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 c (/.f64 #s(literal -1/2 binary64) b) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) (*.f64 (*.f64 c c) (fma.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) c)))) b)) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b))) |
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64)) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)) (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 a (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a)))))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) (*.f64 a (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 (*.f64 #s(literal -1/2 binary64) c) a)))) b)) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (/.f64 b (*.f64 a #s(literal -3 binary64)))) |
(*.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) (/.f64 #s(literal 1/9 binary64) (*.f64 a a))) (*.f64 a #s(literal 3 binary64))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ b (* 3 a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) b)) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a))) |
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/3 binary64) a) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 a #s(literal 3 binary64)))) |
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 a #s(literal -3 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) a) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 a b)) (*.f64 a (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1/3 binary64)) a) (*.f64 a (*.f64 b #s(literal 1/3 binary64)))) (*.f64 a a)) |
(/.f64 (fma.f64 (neg.f64 b) a (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 #s(literal 1 binary64) a))) (*.f64 a (*.f64 a #s(literal 3 binary64)))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (/.f64 (fma.f64 b #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) c))) |
5 calls:
| 14.0ms | a |
| 14.0ms | c |
| 14.0ms | (/.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)) |
| 13.0ms | (*.f64 #s(literal 3 binary64) a) |
| 13.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.7% | 1 | a |
| 92.7% | 1 | b |
| 92.7% | 1 | c |
| 92.7% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 92.7% | 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)) |
Compiled 38 to 26 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b b))) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 #s(approx (neg (- (sqrt (+ (* c (* a -3)) (* b b))) b)) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal -1/2 binary64)))) b)) |
#s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c #s(approx (+ (* -3/8 (/ (* c a) (* b (* b b)))) (/ -1/2 b)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal -1/2 binary64)) b)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 a #s(approx (+ (* (/ (* c a) (* b (* b b))) 9/8) (/ 3/2 b)) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 (/.f64 b c) #s(literal -2 binary64))))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) a)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c #s(approx (+ (* -3/8 (/ (* c a) (* b (* b b)))) (/ -1/2 b)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) (*.f64 #s(literal -3/8 binary64) (*.f64 c a))) (*.f64 b (*.f64 b b)))))) |
(/.f64 #s(approx (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (*.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 a a) (/.f64 c b)))) (*.f64 a (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) |
#s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (*.f64 b (fma.f64 #s(literal 3/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal -2 binary64) c))))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -2 binary64))))) |
5 calls:
| 42.0ms | (*.f64 #s(literal 3 binary64) a) |
| 9.0ms | b |
| 7.0ms | a |
| 7.0ms | c |
| 7.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.6% | 1 | a |
| 92.6% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 92.6% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 92.6% | 1 | b |
| 92.6% | 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(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b b))) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 #s(approx (neg (- (sqrt (+ (* c (* a -3)) (* b b))) b)) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal -1/2 binary64)))) b)) |
#s(approx (/ (- (* (* (sqrt (+ (* c (* a -3)) (* b b))) 1/3) (* a 3)) (* a b)) (* a (* a 3))) (*.f64 c #s(approx (+ (* -3/8 (/ (* c a) (* b (* b b)))) (/ -1/2 b)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal -1/2 binary64)) b)))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal -1/2 binary64)))) b)) |
5 calls:
| 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)) |
| 4.0ms | (*.f64 #s(literal 3 binary64) a) |
| 4.0ms | a |
| 4.0ms | c |
| 4.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.4% | 1 | a |
| 92.4% | 1 | b |
| 92.4% | 1 | c |
| 92.4% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 92.4% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 38 to 26 computations (31.6% saved)
Total -0.5b remaining (-4.4%)
Threshold costs -0.5b (-4.4%)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b b))) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 #s(approx (neg (- (sqrt (+ (* c (* a -3)) (* b b))) b)) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
5 calls:
| 4.0ms | b |
| 3.0ms | (*.f64 #s(literal 3 binary64) a) |
| 3.0ms | c |
| 3.0ms | a |
| 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 |
|---|---|---|
| 82.6% | 1 | c |
| 82.6% | 1 | a |
| 82.6% | 1 | b |
| 82.6% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 82.6% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 38 to 26 computations (31.6% saved)
| 1× | egg-herbie |
| 396× | distribute-lft-neg-in_binary64 |
| 246× | neg-mul-1_binary64 |
| 222× | cancel-sign-sub_binary64 |
| 220× | unsub-neg_binary64 |
| 218× | neg-sub0_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 84 | 375 |
| 1 | 107 | 375 |
| 2 | 123 | 373 |
| 3 | 153 | 373 |
| 4 | 212 | 373 |
| 5 | 309 | 373 |
| 6 | 452 | 373 |
| 7 | 609 | 373 |
| 8 | 781 | 373 |
| 9 | 955 | 373 |
| 10 | 1080 | 373 |
| 11 | 1186 | 373 |
| 12 | 1250 | 373 |
| 13 | 1300 | 373 |
| 14 | 1321 | 373 |
| 15 | 1324 | 373 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (/.f64 #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a)) (/.f64 #s(literal 1/3 binary64) a)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a)) a))) |
(/.f64 (neg.f64 #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a))) (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) (neg.f64 a))) |
(*.f64 (/.f64 #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a)) (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))) a) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (/.f64 (fma.f64 b #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) c))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -2 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal -1/2 binary64)))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
| Outputs |
|---|
(/.f64 (/.f64 #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a)) (/.f64 #s(literal 1/3 binary64) a)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a)) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a))))) |
(/.f64 (neg.f64 #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a))) (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) (neg.f64 a))) |
(/.f64 #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a)) (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) a)) |
(*.f64 (/.f64 #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a)) (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))) a) |
(*.f64 a (/.f64 #s(approx (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9))) (/.f64 (*.f64 c #s(literal -1/3 binary64)) a)) (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (/.f64 (fma.f64 b #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) c))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ 1/3 a) (+ (sqrt (+ (* c (* a -3)) (* b b))) b)) (- (/ (+ (* c (* a -3)) (* b b)) (* (* a a) 9)) (/ (* b b) (* (* a a) 9)))) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 #s(literal -2 binary64) (/.f64 b c))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal -1/2 binary64)))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal -1/2 binary64)))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
| 11 360× | lower-fma.f64 |
| 11 360× | lower-fma.f32 |
| 8 828× | lower-fma.f64 |
| 8 828× | lower-fma.f32 |
| 6 954× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 470 | 2458 |
| 1 | 1445 | 2441 |
| 2 | 4896 | 2418 |
| 0 | 8064 | 2302 |
| 0 | 12 | 46 |
| 0 | 20 | 46 |
| 1 | 71 | 44 |
| 2 | 525 | 43 |
| 3 | 6836 | 43 |
| 0 | 8125 | 40 |
| 0 | 1913 | 21638 |
| 1 | 5278 | 21436 |
| 0 | 8366 | 20680 |
| 0 | 80 | 455 |
| 0 | 121 | 413 |
| 1 | 499 | 407 |
| 2 | 4248 | 407 |
| 0 | 8282 | 407 |
| 0 | 1577 | 16552 |
| 1 | 5199 | 16323 |
| 0 | 8596 | 15663 |
| 0 | 70 | 501 |
| 0 | 123 | 471 |
| 1 | 482 | 441 |
| 2 | 4123 | 405 |
| 0 | 8225 | 405 |
| 1× | fuel |
| 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× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 521 to 297 computations (43% saved)
Compiled 326 to 116 computations (64.4% saved)
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