
Time bar (total: 9.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 40% | 37.4% | 56.2% | 0.1% | 0% | 6.2% | 0% | 7 |
| 48.3% | 45.2% | 48.4% | 0.1% | 0% | 6.2% | 0% | 8 |
| 53% | 48.4% | 42.9% | 0.1% | 0% | 8.6% | 0% | 9 |
| 58.1% | 50.3% | 36.3% | 0.1% | 0% | 13.3% | 0% | 10 |
| 66.1% | 56.8% | 29.1% | 0.1% | 0% | 14% | 0% | 11 |
| 70.4% | 58.8% | 24.7% | 0.1% | 0% | 16.4% | 0% | 12 |
Compiled 19 to 14 computations (26.3% saved)
| 693.0ms | 5 619× | 0 | valid |
| 648.0ms | 1 298× | 1 | valid |
| 331.0ms | 1 177× | 2 | valid |
| 110.0ms | 962× | 0 | invalid |
| 39.0ms | 162× | 3 | valid |
adjust: 543.0ms (40.7% of total)ival-mult: 214.0ms (16% of total)ival-div: 152.0ms (11.4% of total)ival-sub: 129.0ms (9.7% of total)ival-sqrt: 127.0ms (9.5% of total)ival-add: 82.0ms (6.1% of total)ival-neg: 68.0ms (5.1% of total)ival-true: 8.0ms (0.6% of total)exact: 6.0ms (0.4% of total)ival-assert: 4.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 100 | 0 | - | 1 | (-6.949630180855638e-305 1.2929164223813642e-157 2.7778485237286624e-226) | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
| 58 | 0 | - | 0 | - | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
| 17 | 0 | - | 1 | (-9.351575022622802e-161 5.6398920395013245e-62 -2.1034981447892013e-214) | (/.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)) |
| 2 | 0 | - | 0 | - | (-.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 | - | (neg.f64 b) |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 3 binary64) a) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) | oflow-rescue | 93 | 0 |
| ↳ | (*.f64 b b) | overflow | 76 | |
| ↳ | (*.f64 (*.f64 #s(literal 3 binary64) a) c) | overflow | 26 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | overflow | 93 | |
+.f64 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) | cancellation | 58 | 0 |
/.f64 | (/.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)) | u/n | 16 | 0 |
| ↳ | (*.f64 (*.f64 #s(literal 3 binary64) a) c) | underflow | 31 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | underflow | 6 | |
| ↳ | (*.f64 b b) | underflow | 43 | |
| ↳ | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) | underflow | 24 | |
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) | uflow-rescue | 6 | 0 |
| ↳ | (*.f64 b b) | underflow | 43 | |
| ↳ | (*.f64 (*.f64 #s(literal 3 binary64) a) c) | underflow | 31 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | underflow | 6 | |
-.f64 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | nan-rescue | 2 | 0 |
| ↳ | (*.f64 b b) | overflow | 76 | |
| ↳ | (*.f64 (*.f64 #s(literal 3 binary64) a) c) | overflow | 26 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 136 | 0 |
| - | 10 | 110 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 136 | 0 | 0 |
| - | 10 | 0 | 110 |
| number | freq |
|---|---|
| 0 | 110 |
| 1 | 119 |
| 2 | 25 |
| 3 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 33.0ms | 354× | 0 | valid |
| 19.0ms | 76× | 2 | valid |
| 13.0ms | 70× | 1 | valid |
| 3.0ms | 12× | 3 | valid |
Compiled 219 to 52 computations (76.3% saved)
ival-mult: 12.0ms (29.8% of total)ival-sqrt: 7.0ms (17.4% of total)adjust: 5.0ms (12.4% of total)ival-div: 5.0ms (12.4% of total)ival-sub: 4.0ms (9.9% of total)ival-add: 4.0ms (9.9% of total)ival-neg: 2.0ms (5% of total)ival-true: 1.0ms (2.5% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 158 |
| 1 | 152 | 144 |
| 2 | 433 | 144 |
| 3 | 1182 | 144 |
| 4 | 3216 | 144 |
| 5 | 6176 | 144 |
| 0 | 12 | 17 |
| 0 | 20 | 17 |
| 1 | 36 | 16 |
| 2 | 73 | 16 |
| 3 | 156 | 16 |
| 4 | 236 | 16 |
| 5 | 374 | 16 |
| 6 | 653 | 16 |
| 7 | 1117 | 16 |
| 8 | 2300 | 16 |
| 9 | 2599 | 16 |
| 10 | 2713 | 16 |
| 11 | 2768 | 16 |
| 12 | 2769 | 16 |
| 13 | 2769 | 16 |
| 0 | 2769 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
Compiled 17 to 12 computations (29.4% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 50.2% | (/.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 17 to 12 computations (29.4% 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 | 1 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | |
| cost-diff | 1 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
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 | 653 | 64 |
| 7 | 1117 | 64 |
| 8 | 2300 | 64 |
| 9 | 2599 | 64 |
| 10 | 2713 | 64 |
| 11 | 2768 | 64 |
| 12 | 2769 | 64 |
| 13 | 2769 | 64 |
| 0 | 2769 | 60 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 3 binary64) a) c) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
a |
c |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 3 binary64) a) c) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(*.f64 #s(literal 3 binary64) a) |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
a |
c |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.41796875000000006 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | |
| accuracy | 3.646104107942435 | (/.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 | 13.23146668749011 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) | |
| accuracy | 23.234375780906056 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
| 18.0ms | 177× | 0 | valid |
| 10.0ms | 38× | 2 | valid |
| 5.0ms | 35× | 1 | valid |
| 2.0ms | 6× | 3 | valid |
Compiled 134 to 26 computations (80.6% saved)
ival-mult: 6.0ms (27.8% of total)ival-div: 5.0ms (23.2% of total)ival-sqrt: 3.0ms (13.9% of total)ival-sub: 2.0ms (9.3% of total)adjust: 2.0ms (9.3% of total)ival-add: 2.0ms (9.3% of total)ival-neg: 1.0ms (4.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 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) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
| Outputs |
|---|
(* -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)))))))) |
(pow b 2) |
(+ (* -3 (* a c)) (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))))))) |
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 (/ 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))) |
(* -3 (* a c)) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(* 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)))))) |
(* 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 (+ (* (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)))))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(* -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 (* 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)))))))) |
(+ (* -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))) |
(- (pow b 2) (* 3 (* a c))) |
(+ (* 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 b) |
(+ (* 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))))))))) |
(/ (+ (* -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) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(/ (+ (* -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) |
(* 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))))))) |
(* -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)))))))) |
(* -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 (* 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)))))))) |
(* 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)))))))) |
(* 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)))) |
(+ 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)))))))) |
(* 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))) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(* 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))))))) |
(* 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 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
(* -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 (* 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)))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | a | @ | -inf | ((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) |
| 3.0ms | c | @ | -inf | ((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) |
| 3.0ms | b | @ | inf | ((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) |
| 3.0ms | a | @ | inf | ((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) |
| 2.0ms | b | @ | 0 | ((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 560 | 3039 |
| 1 | 1767 | 3016 |
| 2 | 6275 | 2974 |
| 0 | 8498 | 2826 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -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)))))))) |
(pow b 2) |
(+ (* -3 (* a c)) (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))))))) |
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 (/ 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))) |
(* -3 (* a c)) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(* 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)))))) |
(* 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 (+ (* (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)))))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(* -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 (* 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)))))))) |
(+ (* -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))) |
(- (pow b 2) (* 3 (* a c))) |
(+ (* 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 b) |
(+ (* 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))))))))) |
(/ (+ (* -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) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(/ (+ (* -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) |
(* 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))))))) |
(* -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)))))))) |
(* -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 (* 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)))))))) |
(* 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)))))))) |
(* 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)))) |
(+ 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)))))))) |
(* 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))) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(* 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))))))) |
(* 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 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
(* -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 (* 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)))))))) |
| Outputs |
|---|
(* -3/2 (/ (* a c) b)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a) |
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
(* -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 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c 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 (fma.f64 (*.f64 a #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(fma.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a b) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a b) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) a)) a) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(*.f64 (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) a))) 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))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64))))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/24 binary64) (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) a)))) a) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 c a)) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a)))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(fma.f64 #s(literal 1/72 binary64) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64))))) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) 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))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64))))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/24 binary64) (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64))))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/24 binary64) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))))) a) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 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)))))) |
(*.f64 (neg.f64 a) (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (neg.f64 b)) a))) |
(* -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)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/24 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 a c)))) a) b) a))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.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))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 a))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/3 binary64) b (/.f64 (fma.f64 #s(literal 1/72 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 a c)))) (neg.f64 a))) (neg.f64 a))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64))))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/24 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
(*.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64))))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/24 binary64) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))))))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)) (neg.f64 b)) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) #s(literal -1 binary64)) b (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/24 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64))) b #s(literal -1 binary64)) b (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)))) |
(- (pow b 2) (* 3 (* a c))) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 #s(literal -1/3 binary64) a)) b)) |
(+ (* 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))))) |
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(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/24 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64))))) c) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/24 binary64) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))))) c) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 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)))))) |
(*.f64 (neg.f64 c) (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (neg.f64 b)) c))) |
(* -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)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/24 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c a)))) c) b) c))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
(*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(*.f64 (*.f64 (neg.f64 c) #s(literal 1/3 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 b c) a))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) #s(literal 1/3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) #s(literal 1/3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (/.f64 (fma.f64 #s(literal -1/72 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))))) (neg.f64 c))) (neg.f64 c)))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/24 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/24 binary64) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 51 |
| 0 | 20 | 51 |
| 1 | 71 | 49 |
| 2 | 525 | 48 |
| 3 | 6871 | 48 |
| 0 | 8160 | 44 |
| 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) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (pow.f64 b #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) |
(*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))) |
(*.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 2 binary64))) (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64))) (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3 binary64))) (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64))) (fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 9/2 binary64)) (pow.f64 b #s(literal 9 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64)))) |
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(/.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (hypot.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 #s(literal -3 binary64) a) c))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 #s(literal -3 binary64) a) c)) (sqrt.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal -1 binary64))) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (hypot.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 #s(literal -3 binary64) a) c))) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64))) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (pow.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fabs.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(+.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 0 binary64)) |
Compiled 19 143 to 2 166 computations (88.7% saved)
19 alts after pruning (19 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 515 | 19 | 534 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 516 | 19 | 535 |
| Status | Accuracy | Program |
|---|---|---|
| 22.2% | (/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal -3 binary64) a))) | |
| 10.1% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) | |
| 50.2% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) | |
| ▶ | 50.2% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
| ▶ | 50.2% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| ▶ | 31.5% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a)) |
| 9.2% | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b))) (*.f64 #s(literal 3 binary64) a)) | |
| 50.1% | (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) | |
| 24.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 34.5% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 50.1% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| 50.0% | (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64))) | |
| 22.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (*.f64 a #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) | |
| ▶ | 28.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b)) |
| 31.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| 32.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| 34.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) | |
| 33.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) | |
| ▶ | 34.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
Compiled 986 to 688 computations (30.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (/.f64 a b) #s(literal -3/8 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b)) | |
| cost-diff | 2 | (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) | |
| cost-diff | 0 | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a)))) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 1 | (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) | |
| cost-diff | 0 | (/.f64 b a) | |
| cost-diff | 0 | (*.f64 #s(literal -2/3 binary64) (/.f64 b a)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 1 | (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 333 |
| 0 | 80 | 331 |
| 1 | 140 | 321 |
| 2 | 228 | 318 |
| 3 | 434 | 318 |
| 4 | 698 | 318 |
| 5 | 985 | 318 |
| 6 | 1448 | 318 |
| 7 | 2465 | 318 |
| 8 | 4907 | 318 |
| 9 | 6519 | 318 |
| 10 | 7068 | 318 |
| 11 | 7261 | 318 |
| 12 | 7331 | 318 |
| 13 | 7340 | 318 |
| 14 | 7504 | 318 |
| 15 | 7720 | 318 |
| 16 | 7770 | 318 |
| 17 | 7826 | 318 |
| 18 | 7828 | 318 |
| 19 | 7832 | 318 |
| 20 | 7832 | 318 |
| 0 | 8204 | 315 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) |
(neg.f64 b) |
b |
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) |
(fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)) |
(*.f64 (*.f64 #s(literal -3 binary64) a) c) |
(*.f64 #s(literal -3 binary64) a) |
#s(literal -3 binary64) |
a |
c |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
#s(literal -2/3 binary64) |
(/.f64 b a) |
b |
a |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) |
(neg.f64 b) |
b |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a)))) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))) |
(*.f64 #s(literal -3 binary64) (*.f64 c a)) |
#s(literal -3 binary64) |
(*.f64 c a) |
c |
a |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
a |
(*.f64 b b) |
b |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(/.f64 (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b) |
(fma.f64 (*.f64 (/.f64 a b) #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) |
(*.f64 (/.f64 a b) #s(literal -3/8 binary64)) |
(/.f64 a b) |
a |
b |
#s(literal -3/8 binary64) |
(/.f64 (*.f64 c c) b) |
(*.f64 c c) |
c |
(*.f64 #s(literal -1/2 binary64) c) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) |
(neg.f64 b) |
b |
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) |
(fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)) |
(fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) |
(*.f64 (*.f64 #s(literal -3 binary64) a) c) |
(*.f64 (*.f64 c a) #s(literal -3 binary64)) |
(*.f64 #s(literal -3 binary64) a) |
(*.f64 a #s(literal -3 binary64)) |
#s(literal -3 binary64) |
a |
c |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
(*.f64 (/.f64 b a) #s(literal -2/3 binary64)) |
#s(literal -2/3 binary64) |
(/.f64 b a) |
b |
a |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) |
(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) |
(neg.f64 b) |
b |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a)))) |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))) |
(*.f64 #s(literal -3 binary64) (*.f64 c a)) |
(*.f64 (*.f64 c a) #s(literal -3 binary64)) |
#s(literal -3 binary64) |
(*.f64 c a) |
c |
a |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
(*.f64 c #s(literal -3 binary64)) |
#s(literal -3 binary64) |
c |
a |
(*.f64 b b) |
b |
(*.f64 a #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (fma.f64 (/.f64 c b) (*.f64 #s(literal -3/8 binary64) (/.f64 a b)) #s(literal -1/2 binary64)) b) c)) |
(/.f64 (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b) |
(*.f64 (/.f64 (fma.f64 (/.f64 c b) (*.f64 #s(literal -3/8 binary64) (/.f64 a b)) #s(literal -1/2 binary64)) b) c) |
(fma.f64 (*.f64 (/.f64 a b) #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) |
(*.f64 (fma.f64 (/.f64 c b) (*.f64 #s(literal -3/8 binary64) (/.f64 a b)) #s(literal -1/2 binary64)) c) |
(*.f64 (/.f64 a b) #s(literal -3/8 binary64)) |
(*.f64 #s(literal -3/8 binary64) (/.f64 a b)) |
(/.f64 a b) |
a |
b |
#s(literal -3/8 binary64) |
(/.f64 (*.f64 c c) b) |
(*.f64 c c) |
c |
(*.f64 #s(literal -1/2 binary64) c) |
#s(literal -1/2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.427098834993075 | (/.f64 (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b) | |
| accuracy | 5.41767904353858 | (/.f64 (*.f64 c c) b) | |
| accuracy | 6.289056045571171 | (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) | |
| accuracy | 42.51293055654638 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b)) | |
| accuracy | 0.09375 | (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) | |
| accuracy | 3.646104107942435 | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) | |
| accuracy | 13.23146668749011 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) | |
| accuracy | 23.234375780906056 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) | |
| accuracy | 3.646104107942435 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 13.23146668749011 | (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) | |
| accuracy | 23.234375780906056 | (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a)))) | |
| accuracy | 39.06205412869675 | #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))) | |
| accuracy | 0.0 | (/.f64 b a) | |
| accuracy | 0.3125 | (*.f64 #s(literal -2/3 binary64) (/.f64 b a)) | |
| accuracy | 41.82961098577464 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) | |
| accuracy | 0.5039007452111204 | (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)) | |
| accuracy | 3.646104107942435 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 13.23146668749011 | (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) | |
| accuracy | 23.234375780906056 | (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) |
| 73.0ms | 177× | 0 | valid |
| 31.0ms | 38× | 2 | valid |
| 17.0ms | 35× | 1 | valid |
| 5.0ms | 6× | 3 | valid |
Compiled 631 to 92 computations (85.4% saved)
ival-div: 27.0ms (29.5% of total)ival-mult: 24.0ms (26.2% of total)ival-add: 13.0ms (14.2% of total)ival-sqrt: 9.0ms (9.8% of total)adjust: 7.0ms (7.7% of total)ival-sub: 6.0ms (6.6% of total)const: 4.0ms (4.4% of total)ival-neg: 2.0ms (2.2% of total)exact: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(neg.f64 b) |
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
(/.f64 b a) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a)) |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a)))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(fma.f64 (*.f64 (/.f64 a b) #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(/.f64 (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b) |
(*.f64 (/.f64 a b) #s(literal -3/8 binary64)) |
(fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))) |
(/.f64 (*.f64 c c) b) |
| Outputs |
|---|
(* -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)))))))) |
(* -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))))))) |
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)))))))) |
(* -2/3 (/ b a)) |
(/ b a) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(* -3/8 (/ a 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))) |
(* 1/3 (* (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)))))) |
(* 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)))))) |
(* -3 (* a c)) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* -3/8 (/ (* a (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 3))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(* -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)))))) |
(* -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 (* 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)))))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(+ (* -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))) |
(+ (* 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 b) |
(+ (* 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))))))))) |
(/ (+ (* -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 3)) |
(- (pow b 2) (* 3 (* a c))) |
(/ (pow c 2) 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) |
(/ (+ (* -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) |
(* 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))))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* -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 (* 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 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 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)))))))) |
(* 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)))) |
(+ 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)))))))) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(* 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))) |
(* 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))))))) |
(* 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)))))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* 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 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | b | @ | -inf | ((+ (neg b) (sqrt (+ (* b b) (* (* -3 a) c)))) (/ (+ (neg b) (sqrt (+ (* b b) (* (* -3 a) c)))) (* 3 a)) (neg b) (sqrt (+ (* b b) (* (* -3 a) c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) (/ b a) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (sqrt (- (* b b) (* (* 3 a) c))) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3 c) a) (* b b)) (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) b) (* (/ a b) -3/8) (+ (* b b) (* (* -3 a) c)) (- (* b b) (* (* 3 a) c)) (/ (* c c) b)) |
| 5.0ms | a | @ | inf | ((+ (neg b) (sqrt (+ (* b b) (* (* -3 a) c)))) (/ (+ (neg b) (sqrt (+ (* b b) (* (* -3 a) c)))) (* 3 a)) (neg b) (sqrt (+ (* b b) (* (* -3 a) c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) (/ b a) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (sqrt (- (* b b) (* (* 3 a) c))) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3 c) a) (* b b)) (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) b) (* (/ a b) -3/8) (+ (* b b) (* (* -3 a) c)) (- (* b b) (* (* 3 a) c)) (/ (* c c) b)) |
| 3.0ms | b | @ | 0 | ((+ (neg b) (sqrt (+ (* b b) (* (* -3 a) c)))) (/ (+ (neg b) (sqrt (+ (* b b) (* (* -3 a) c)))) (* 3 a)) (neg b) (sqrt (+ (* b b) (* (* -3 a) c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) (/ b a) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (sqrt (- (* b b) (* (* 3 a) c))) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3 c) a) (* b b)) (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) b) (* (/ a b) -3/8) (+ (* b b) (* (* -3 a) c)) (- (* b b) (* (* 3 a) c)) (/ (* c c) b)) |
| 3.0ms | b | @ | inf | ((+ (neg b) (sqrt (+ (* b b) (* (* -3 a) c)))) (/ (+ (neg b) (sqrt (+ (* b b) (* (* -3 a) c)))) (* 3 a)) (neg b) (sqrt (+ (* b b) (* (* -3 a) c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) (/ b a) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (sqrt (- (* b b) (* (* 3 a) c))) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3 c) a) (* b b)) (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) b) (* (/ a b) -3/8) (+ (* b b) (* (* -3 a) c)) (- (* b b) (* (* 3 a) c)) (/ (* c c) b)) |
| 3.0ms | a | @ | 0 | ((+ (neg b) (sqrt (+ (* b b) (* (* -3 a) c)))) (/ (+ (neg b) (sqrt (+ (* b b) (* (* -3 a) c)))) (* 3 a)) (neg b) (sqrt (+ (* b b) (* (* -3 a) c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) (/ b a) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (sqrt (- (* b b) (* (* 3 a) c))) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3 c) a) (* b b)) (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) b) (* (/ a b) -3/8) (+ (* b b) (* (* -3 a) c)) (- (* b b) (* (* 3 a) c)) (/ (* c c) b)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 617 | 3311 |
| 1 | 1942 | 3288 |
| 2 | 6588 | 3246 |
| 0 | 8050 | 3083 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -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)))))))) |
(* -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))))))) |
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)))))))) |
(* -2/3 (/ b a)) |
(/ b a) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(* -3/8 (/ a 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))) |
(* 1/3 (* (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)))))) |
(* 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)))))) |
(* -3 (* a c)) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* -3/8 (/ (* a (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 3))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(* -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)))))) |
(* -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 (* 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)))))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(+ (* -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))) |
(+ (* 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 b) |
(+ (* 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))))))))) |
(/ (+ (* -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 3)) |
(- (pow b 2) (* 3 (* a c))) |
(/ (pow c 2) 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) |
(/ (+ (* -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) |
(* 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))))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* -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 (* 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 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 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)))))))) |
(* 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)))) |
(+ 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)))))))) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(* 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))) |
(* 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))))))) |
(* 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)))))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* 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 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
| Outputs |
|---|
(* -3/2 (/ (* a c) b)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) 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 (*.f64 a #s(literal -3/8 binary64)) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c 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 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a b) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a b) |
(* -2/3 (/ b a)) |
(*.f64 (/.f64 b a) #s(literal -2/3 binary64)) |
(/ b a) |
(/.f64 b a) |
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
(* -1/2 c) |
(*.f64 #s(literal -1/2 binary64) c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c (/.f64 c b))) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) |
(* -3/8 (/ a b)) |
(*.f64 (/.f64 a b) #s(literal -3/8 binary64)) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 b a)) a) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(*.f64 (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 b a))) 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))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/24 binary64) (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 b a)))) a) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a)))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(fma.f64 #s(literal 1/72 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) 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))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/24 binary64) (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/24 binary64) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))))) a) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 c a)) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c (/.f64 c b))) (/.f64 a b)) |
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) c) b) (/.f64 c b) (*.f64 (/.f64 c a) #s(literal -1/2 binary64))) a) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(*.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64))))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 c b) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 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)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (neg.f64 b)) (neg.f64 a)))) |
(* -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)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/24 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 a c)))) a) b) a))) |
(* -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 #s(literal -1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 a))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/3 binary64) b (/.f64 (fma.f64 #s(literal 1/72 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 a c)))) (neg.f64 a))) (neg.f64 a))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/24 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
(*.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/24 binary64) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))))))) |
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(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) c)) c) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) c))) 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))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/24 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) c)))) c) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (/.f64 (/.f64 b c) a) #s(literal -1/3 binary64))) c) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/6 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (/.f64 (/.f64 b c) a) #s(literal -1/3 binary64)))) c) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(*.f64 (fma.f64 #s(literal 1/72 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/6 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (/.f64 (/.f64 b c) a) #s(literal -1/3 binary64))))) c) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))) 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))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/24 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64))))) c) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/24 binary64) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))))) c) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 #s(literal -1/2 binary64) c)) (*.f64 c c)) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(*.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) b) c)) (*.f64 c c)) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 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)))))) |
(*.f64 (neg.f64 c) (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (neg.f64 b)) c))) |
(* -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)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/24 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c a)))) c) b) c))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(*.f64 (*.f64 (neg.f64 c) #s(literal 1/3 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 b c) a))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (/.f64 (fma.f64 #s(literal -1/72 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))))) (neg.f64 c))) (neg.f64 c)))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/24 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/24 binary64) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
(*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 268 |
| 0 | 80 | 266 |
| 1 | 291 | 256 |
| 2 | 2039 | 256 |
| 0 | 8485 | 256 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(neg.f64 b) |
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
(/.f64 b a) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a)) |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a)))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(fma.f64 (*.f64 (/.f64 a b) #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(/.f64 (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b) |
(*.f64 (/.f64 a b) #s(literal -3/8 binary64)) |
(fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))) |
(/.f64 (*.f64 c c) b) |
| Outputs |
|---|
(*.f64 (-.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (*.f64 b b)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (pow.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (fma.f64 b b (+.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) #s(literal -1 binary64)) #s(literal -1 binary64)) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) (/.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) (fma.f64 (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) (*.f64 (/.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))))) |
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(*.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 (neg.f64 c) b)) |
(*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 c b)) |
(*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 c c) #s(literal -1 binary64))) |
(*.f64 (/.f64 c b) (/.f64 (neg.f64 c) #s(literal -1 binary64))) |
(*.f64 (/.f64 c b) c) |
(*.f64 (pow.f64 b #s(literal -1 binary64)) (pow.f64 (pow.f64 c #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 b #s(literal -1 binary64)) (*.f64 c c)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) b)) |
(*.f64 (*.f64 (neg.f64 c) c) (pow.f64 (neg.f64 b) #s(literal -1 binary64))) |
(*.f64 (*.f64 c c) (pow.f64 b #s(literal -1 binary64))) |
(*.f64 c (/.f64 c b)) |
(pow.f64 (/.f64 b (*.f64 c c)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal -2 binary64)))) (neg.f64 b)) |
(/.f64 (neg.f64 (*.f64 (*.f64 c c) #s(literal 1 binary64))) (neg.f64 b)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 c) c))) (neg.f64 (neg.f64 (neg.f64 b)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal -2 binary64))) b) |
(/.f64 (*.f64 (*.f64 c c) #s(literal 1 binary64)) b) |
(/.f64 (neg.f64 (*.f64 (neg.f64 c) c)) (neg.f64 (neg.f64 b))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (*.f64 c c)))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 (*.f64 c c) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 b (*.f64 c c))))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 c c))) |
(/.f64 (*.f64 (neg.f64 c) c) (neg.f64 b)) |
(/.f64 (*.f64 c c) b) |
(neg.f64 (/.f64 (*.f64 (neg.f64 c) c) b)) |
(neg.f64 (/.f64 (*.f64 c c) (neg.f64 b))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 b)) (/.f64 (*.f64 c c) (neg.f64 b))) |
(exp.f64 (*.f64 (log.f64 (/.f64 b (*.f64 c c))) #s(literal -1 binary64))) |
Compiled 32 145 to 3 286 computations (89.8% saved)
32 alts after pruning (31 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 781 | 25 | 806 |
| Fresh | 8 | 6 | 14 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 793 | 32 | 825 |
| Status | Accuracy | Program |
|---|---|---|
| 22.2% | (/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal -3 binary64) a))) | |
| 17.9% | (/.f64 (/.f64 (fma.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (+.f64 #s(literal 0 binary64) b))) (*.f64 #s(literal 3 binary64) a)) | |
| 9.0% | (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) #s(literal 2 binary64)))))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) | |
| 10.2% | (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) #s(literal 2 binary64)))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) | |
| 31.5% | (/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) a) #s(literal 3 binary64)) | |
| 49.6% | (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) a) (*.f64 #s(literal 3 binary64) a)) (*.f64 #s(literal 3 binary64) b)) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a))) | |
| ▶ | 26.7% | (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)))))) |
| ▶ | 50.2% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
| 50.1% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) (*.f64 a #s(literal 3 binary64))) | |
| 31.5% | (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) (*.f64 #s(literal 3 binary64) a)) | |
| 31.5% | (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 c a)))) b) (*.f64 a #s(literal 3 binary64))) | |
| ▶ | 9.2% | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b))) (*.f64 #s(literal 3 binary64) a)) |
| 31.5% | (/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) #s(literal 1/3 binary64)) a) | |
| 24.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 34.5% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 50.1% | (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) | |
| 31.5% | (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) a) #s(literal 1/3 binary64)) | |
| 31.5% | (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) #s(literal -3 binary64))) | |
| 22.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (*.f64 a #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) | |
| 27.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 (/.f64 a b) b) (/.f64 #s(literal -3/8 binary64) (pow.f64 c #s(literal -2 binary64))) (*.f64 #s(literal -1/2 binary64) c)) #s(literal -1 binary64))) b)) | |
| 34.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) | |
| 32.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 c a) b) b) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b)) | |
| ▶ | 33.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
| 34.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) #s(literal -2/3 binary64)))) | |
| 34.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -2/3 binary64) b)))) | |
| 34.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) | |
| 34.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 #s(literal -2/3 binary64) a))) | |
| 34.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) | |
| 12.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (neg.f64 a)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 #s(literal 0 binary64) (neg.f64 a)) (fma.f64 (/.f64 b (neg.f64 a)) (/.f64 b (neg.f64 a)) (*.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 b (neg.f64 a)))))))) | |
| ✓ | 34.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
| 34.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))) | |
| ▶ | 34.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a)))) |
Compiled 1 933 to 1 246 computations (35.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 b b) | |
| cost-diff | 0 | (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) | |
| cost-diff | 0 | (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)))))) | |
| cost-diff | 1 | (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))))) | |
| cost-diff | 0 | #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b)) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b))) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 1 | (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b))) | |
| cost-diff | 0 | (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a))) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a)))) | |
| cost-diff | 1 | (/.f64 b #s(literal -1 binary64)) | |
| cost-diff | 3 | (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a)) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) c) | |
| cost-diff | 0 | #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) | |
| cost-diff | 0 | (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b) | |
| cost-diff | 0 | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 442 |
| 0 | 87 | 444 |
| 1 | 161 | 425 |
| 2 | 360 | 414 |
| 3 | 848 | 408 |
| 4 | 1786 | 405 |
| 5 | 4691 | 405 |
| 6 | 7256 | 405 |
| 0 | 8225 | 402 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) |
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)) |
(*.f64 a #s(literal -3 binary64)) |
a |
#s(literal -3 binary64) |
c |
(*.f64 b b) |
b |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b) |
#s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) |
(*.f64 #s(literal -1/2 binary64) c) |
#s(literal -1/2 binary64) |
c |
b |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a)))) |
(*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a))) |
#s(literal -2/3 binary64) |
(*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a)) |
(/.f64 b #s(literal -1 binary64)) |
b |
#s(literal -1 binary64) |
(/.f64 #s(literal -1 binary64) a) |
a |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b))) |
(neg.f64 b) |
b |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b)) |
(fma.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b) |
(*.f64 #s(literal -3/2 binary64) c) |
#s(literal -3/2 binary64) |
c |
(/.f64 a b) |
a |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
(/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)))))) |
(-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) |
(*.f64 b b) |
b |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)) |
(*.f64 (*.f64 c #s(literal -3 binary64)) a) |
(*.f64 c #s(literal -3 binary64)) |
c |
#s(literal -3 binary64) |
a |
(*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))))) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)))) |
(neg.f64 b) |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) |
| Outputs |
|---|
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a)) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b) |
(-.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) |
(sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) |
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)) |
(fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)) |
(*.f64 a #s(literal -3 binary64)) |
(*.f64 #s(literal -3 binary64) a) |
a |
#s(literal -3 binary64) |
c |
(*.f64 b b) |
b |
(*.f64 a #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b) |
#s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) |
(*.f64 #s(literal -1/2 binary64) c) |
#s(literal -1/2 binary64) |
c |
b |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b)) |
(*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a))) |
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b) |
#s(literal -2/3 binary64) |
(*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a)) |
(/.f64 b a) |
(/.f64 b #s(literal -1 binary64)) |
(neg.f64 b) |
b |
#s(literal -1 binary64) |
(/.f64 #s(literal -1 binary64) a) |
a |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b))) |
(-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b) |
(neg.f64 b) |
b |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) |
(fma.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b) |
(fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b) |
(*.f64 #s(literal -3/2 binary64) c) |
#s(literal -3/2 binary64) |
c |
(/.f64 a b) |
a |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
(/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)))))) |
(*.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 c (*.f64 #s(literal -3 binary64) a)))) a) (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 c (*.f64 #s(literal -3 binary64) a)))) b))) |
(-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) |
(-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 c (*.f64 #s(literal -3 binary64) a)))) |
(*.f64 b b) |
b |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 c (*.f64 #s(literal -3 binary64) a))) |
(*.f64 (*.f64 c #s(literal -3 binary64)) a) |
(*.f64 c (*.f64 #s(literal -3 binary64) a)) |
(*.f64 c #s(literal -3 binary64)) |
c |
#s(literal -3 binary64) |
a |
(*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))))) |
(*.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 c (*.f64 #s(literal -3 binary64) a)))) b) (*.f64 #s(literal -3 binary64) a)) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)))) |
(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 c (*.f64 #s(literal -3 binary64) a))))) |
(neg.f64 b) |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 c (*.f64 #s(literal -3 binary64) a)))) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 18.96247648403187 | (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)))))) | |
| accuracy | 23.234375780906056 | (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) | |
| accuracy | 35.074532512492475 | (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) | |
| accuracy | 39.06205412869675 | #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)) | |
| accuracy | 1.9461759734642086 | (fma.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b) | |
| accuracy | 3.646104107942435 | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b))) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 13.23146668749011 | (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b))) | |
| accuracy | 42.62513036574316 | #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b)) | |
| accuracy | 0.0 | (/.f64 #s(literal -1 binary64) a) | |
| accuracy | 0.2421875 | (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a)) | |
| accuracy | 0.3125 | (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a))) | |
| accuracy | 41.82961098577464 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a)))) | |
| accuracy | 0.0 | (*.f64 #s(literal -1/2 binary64) c) | |
| accuracy | 1.427098834993075 | (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b) | |
| accuracy | 22.842381299438816 | #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) | |
| accuracy | 42.51293055654638 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) | |
| accuracy | 0.08203125 | (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)) | |
| accuracy | 3.646104107942435 | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) | |
| accuracy | 13.23146668749011 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b) | |
| accuracy | 23.234375780906056 | (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) |
| 61.0ms | 78× | 1 | valid |
| 51.0ms | 71× | 2 | valid |
| 41.0ms | 94× | 0 | valid |
| 11.0ms | 13× | 3 | valid |
Compiled 782 to 107 computations (86.3% saved)
ival-mult: 29.0ms (31.5% of total)ival-div: 17.0ms (18.4% of total)adjust: 15.0ms (16.3% of total)ival-sub: 11.0ms (11.9% of total)ival-add: 7.0ms (7.6% of total)ival-sqrt: 7.0ms (7.6% of total)const: 4.0ms (4.3% of total)exact: 1.0ms (1.1% of total)ival-neg: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) |
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b) |
#s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) |
(*.f64 #s(literal -1/2 binary64) c) |
(*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a)) |
(/.f64 b #s(literal -1 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a)))) |
(*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a))) |
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b))) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b))) (*.f64 #s(literal 3 binary64) a)) |
(neg.f64 b) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b)) |
(*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))))) |
(/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)))))) |
(-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) |
(*.f64 b b) |
(/.f64 #s(literal -1 binary64) a) |
(fma.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)) |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) |
| Outputs |
|---|
(* -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))))))) |
(* -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)))))))) |
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)))))))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(/ b a) |
(* -2/3 (/ b a)) |
(* -6 (* a b)) |
(* a (+ (* -6 b) (* 9/2 (/ (* a c) b)))) |
(* a (+ (* -6 b) (* a (+ (* 27/8 (/ (* a (pow c 2)) (pow b 3))) (* 9/2 (/ c b)))))) |
(* a (+ (* -6 b) (* a (+ (* 9/2 (/ c b)) (* a (+ (* 27/8 (/ (pow c 2) (pow b 3))) (* 81/16 (/ (* a (pow c 3)) (pow b 5))))))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* a (+ (* -27/32 (/ (pow c 4) (pow b 7))) (* -27/128 (/ (pow c 4) (pow b 7)))))))))) |
(* 3 (* a c)) |
(/ -1 a) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* (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))) |
(* 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)))))) |
(* -3 (* a c)) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* -3/8 (/ (* a (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 2))) |
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2))))) |
(* -3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) |
(* (pow a 2) (+ (* -3 (* (sqrt (/ c a)) (sqrt -3))) (* -3 (/ b a)))) |
(* (pow a 2) (+ (* -3 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -3 (/ b a)) (* -3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3))))))) |
(* (pow a 2) (+ (* -3 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -3 (/ b a)) (+ (* -3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 3/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))))))) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2))) a) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))) a) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (+ (* -1/2 (/ (pow b 3) (* a (* c (pow (sqrt -3) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))))) a) |
(* a (+ (* -3/2 (/ c b)) (/ b a))) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(* -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 (* (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)))))) |
(* -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)))))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))) |
(* 3 (* (sqrt (* (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) |
(* (pow a 2) (+ (* -3 (/ b a)) (* 3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -3/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3 b)) a)) (* 3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -3/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 3 b)) a)) (* 3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (/ b (pow (sqrt 3) 2))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a))) a))) a)) |
(* -1 (* a (+ (* -1 (/ b a)) (* 3/2 (/ c b))))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(+ (* 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 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))) |
(+ (* 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))))))))) |
(/ (+ (* -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 2)) |
(* -1 b) |
(+ (* -3 (* a b)) (* -3 (* (sqrt (* (pow a 3) c)) (sqrt -3)))) |
(+ (* -3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) (* b (+ (* -3 a) (* -3/2 (* (sqrt (/ a c)) (/ b (sqrt -3))))))) |
(+ (* -3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) (* b (+ (* -3 a) (* b (+ (* -3/2 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* 3/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3))))))))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))))) (/ 1 (* a (pow (sqrt -3) 2)))))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3))))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* a (pow (sqrt -3) 2)))))) |
(/ (+ (* -3/2 (* a c)) (pow b 2)) b) |
(- (pow b 2) (* 3 (* a c))) |
(/ (+ (* -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) |
(/ (+ (* -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) |
(* 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))))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* b (+ (* -6 a) (* 9/2 (/ (* (pow a 2) c) (pow b 2))))) |
(* b (+ (* -6 a) (+ (* 27/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 9/2 (/ (* (pow a 2) c) (pow b 2)))))) |
(* b (+ (* -6 a) (+ (* 27/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* 9/2 (/ (* (pow a 2) c) (pow b 2))) (* 81/16 (/ (* (pow a 4) (pow c 3)) (pow b 6))))))) |
(/ (+ (* -27/32 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -27/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))))))) b) |
(* -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))))))) |
(* -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 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -9/2 (/ (* (pow a 2) c) b)) |
(* -1 (/ (+ (* 27/8 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* 9/2 (* (pow a 2) c))) b)) |
(* -1 (/ (+ (* 27/8 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (+ (* 9/2 (* (pow a 2) c)) (* 81/16 (/ (* (pow a 4) (pow c 3)) (pow b 4))))) b)) |
(* -1 (/ (+ (* 3/2 (/ (* a (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4))))) (pow b 6))) (+ (* 27/8 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (+ (* 9/2 (* (pow a 2) c)) (* 81/16 (/ (* (pow a 4) (pow c 3)) (pow b 4)))))) b)) |
(* -1 (* b (- (+ (* -1 (/ (+ (* -3/8 (* a (pow c 2))) (* 3/4 (* a (pow c 2)))) (pow b 4))) (* 2/3 (/ 1 a))) (* 1/2 (/ c (pow b 2)))))) |
(* -1 (* b (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -3/8 (* a (pow c 2))) (* 3/4 (* a (pow c 2))))))) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* 2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (* 2/3 (/ 1 a))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 1/2 (/ c (pow b 2))) (* 3/4 (/ (* a (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 1))) |
(* 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)))) |
(* 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)))))))) |
(+ 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)))))))) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(+ (* -6 (* a b)) (* 9/2 (/ (* (pow a 2) c) b))) |
(+ (* -6 (* a b)) (* c (+ (* 27/8 (/ (* (pow a 3) c) (pow b 3))) (* 9/2 (/ (pow a 2) b))))) |
(+ (* -6 (* a b)) (* c (+ (* 9/2 (/ (pow a 2) b)) (* c (+ (* 27/8 (/ (pow a 3) (pow b 3))) (* 81/16 (/ (* (pow a 4) c) (pow b 5)))))))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* c (+ (* -27/32 (/ (pow a 3) (pow b 7))) (* -27/128 (/ (pow a 3) (pow b 7))))))))) (* 1/2 (/ 1 b)))) |
(* 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))))))) |
(* 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))) |
(* 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)))))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* c (+ (* -3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (* -3 (/ (* a b) c)))) |
(* c (+ (* -3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (+ (* -3 (/ (* a b) c)) (* -3/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3))))))) |
(* c (+ (* -3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (+ (* -3 (/ (* a b) c)) (+ (* -3/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (* 3/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))))))) |
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (pow c 2)))) (* -1 (/ b (* a (pow (sqrt -3) 2))))) |
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (sqrt -3)))) (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4))))) (pow c 3)))) (+ (* -1 (/ b (* a (pow (sqrt -3) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))))) |
(* c (+ (* -3/2 (/ a b)) (/ b c))) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(* -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 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(* -1 (* c (+ (* -3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) (* 3 (/ (* a b) c))))) |
(* -1 (* c (+ (* -3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -3 (* a b)) (* 3/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))))) |
(* -1 (* c (+ (* -3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -3 (* a b)) (* -1 (/ (+ (* -3/2 (* (sqrt (* a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3/8 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) c))) c))))) |
(+ (* -1 (/ b (* a (pow (sqrt 3) 2)))) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4))))) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 3/2 (/ a b))))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | b | @ | 0 | ((/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) (- (sqrt (+ (* (* a -3) c) (* b b))) b) (sqrt (+ (* (* a -3) c) (* b b))) (+ (* (* a -3) c) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) b) (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (* -1/2 c) (* (/ b -1) (/ -1 a)) (/ b -1) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (* (/ b -1) (/ -1 a))) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (sqrt (- (* b b) (* (* 3 a) c))) (* (* 3 a) (- (neg b) (sqrt (- (* b b) (* (* 3 a) c))))) (/ (- (* b b) (- (* b b) (* (* 3 a) c))) (* (* 3 a) (- (neg b) (sqrt (- (* b b) (* (* 3 a) c)))))) (- (* b b) (- (* b b) (* (* 3 a) c))) (* b b) (/ -1 a) (+ (* (* -3/2 c) (/ a b)) b) (- (* b b) (* (* 3 a) c)) (sqrt (- (* b b) (* (* 3 a) c)))) |
| 6.0ms | c | @ | -inf | ((/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) (- (sqrt (+ (* (* a -3) c) (* b b))) b) (sqrt (+ (* (* a -3) c) (* b b))) (+ (* (* a -3) c) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) b) (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (* -1/2 c) (* (/ b -1) (/ -1 a)) (/ b -1) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (* (/ b -1) (/ -1 a))) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (sqrt (- (* b b) (* (* 3 a) c))) (* (* 3 a) (- (neg b) (sqrt (- (* b b) (* (* 3 a) c))))) (/ (- (* b b) (- (* b b) (* (* 3 a) c))) (* (* 3 a) (- (neg b) (sqrt (- (* b b) (* (* 3 a) c)))))) (- (* b b) (- (* b b) (* (* 3 a) c))) (* b b) (/ -1 a) (+ (* (* -3/2 c) (/ a b)) b) (- (* b b) (* (* 3 a) c)) (sqrt (- (* b b) (* (* 3 a) c)))) |
| 6.0ms | b | @ | -inf | ((/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) (- (sqrt (+ (* (* a -3) c) (* b b))) b) (sqrt (+ (* (* a -3) c) (* b b))) (+ (* (* a -3) c) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) b) (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (* -1/2 c) (* (/ b -1) (/ -1 a)) (/ b -1) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (* (/ b -1) (/ -1 a))) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (sqrt (- (* b b) (* (* 3 a) c))) (* (* 3 a) (- (neg b) (sqrt (- (* b b) (* (* 3 a) c))))) (/ (- (* b b) (- (* b b) (* (* 3 a) c))) (* (* 3 a) (- (neg b) (sqrt (- (* b b) (* (* 3 a) c)))))) (- (* b b) (- (* b b) (* (* 3 a) c))) (* b b) (/ -1 a) (+ (* (* -3/2 c) (/ a b)) b) (- (* b b) (* (* 3 a) c)) (sqrt (- (* b b) (* (* 3 a) c)))) |
| 5.0ms | a | @ | inf | ((/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) (- (sqrt (+ (* (* a -3) c) (* b b))) b) (sqrt (+ (* (* a -3) c) (* b b))) (+ (* (* a -3) c) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) b) (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (* -1/2 c) (* (/ b -1) (/ -1 a)) (/ b -1) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (* (/ b -1) (/ -1 a))) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (sqrt (- (* b b) (* (* 3 a) c))) (* (* 3 a) (- (neg b) (sqrt (- (* b b) (* (* 3 a) c))))) (/ (- (* b b) (- (* b b) (* (* 3 a) c))) (* (* 3 a) (- (neg b) (sqrt (- (* b b) (* (* 3 a) c)))))) (- (* b b) (- (* b b) (* (* 3 a) c))) (* b b) (/ -1 a) (+ (* (* -3/2 c) (/ a b)) b) (- (* b b) (* (* 3 a) c)) (sqrt (- (* b b) (* (* 3 a) c)))) |
| 5.0ms | a | @ | -inf | ((/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) (- (sqrt (+ (* (* a -3) c) (* b b))) b) (sqrt (+ (* (* a -3) c) (* b b))) (+ (* (* a -3) c) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) b) (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (* -1/2 c) (* (/ b -1) (/ -1 a)) (/ b -1) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (* (/ b -1) (/ -1 a))) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (sqrt (- (* b b) (* (* 3 a) c))) (* (* 3 a) (- (neg b) (sqrt (- (* b b) (* (* 3 a) c))))) (/ (- (* b b) (- (* b b) (* (* 3 a) c))) (* (* 3 a) (- (neg b) (sqrt (- (* b b) (* (* 3 a) c)))))) (- (* b b) (- (* b b) (* (* 3 a) c))) (* b b) (/ -1 a) (+ (* (* -3/2 c) (/ a b)) b) (- (* b b) (* (* 3 a) c)) (sqrt (- (* b b) (* (* 3 a) c)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1048 | 5477 |
| 1 | 3424 | 5289 |
| 0 | 9139 | 5054 |
| 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 (+ (* -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))))))) |
(* -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)))))))) |
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)))))))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(/ b a) |
(* -2/3 (/ b a)) |
(* -6 (* a b)) |
(* a (+ (* -6 b) (* 9/2 (/ (* a c) b)))) |
(* a (+ (* -6 b) (* a (+ (* 27/8 (/ (* a (pow c 2)) (pow b 3))) (* 9/2 (/ c b)))))) |
(* a (+ (* -6 b) (* a (+ (* 9/2 (/ c b)) (* a (+ (* 27/8 (/ (pow c 2) (pow b 3))) (* 81/16 (/ (* a (pow c 3)) (pow b 5))))))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* a (+ (* -27/32 (/ (pow c 4) (pow b 7))) (* -27/128 (/ (pow c 4) (pow b 7)))))))))) |
(* 3 (* a c)) |
(/ -1 a) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* (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))) |
(* 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)))))) |
(* -3 (* a c)) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* -3/8 (/ (* a (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 2))) |
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2))))) |
(* -3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) |
(* (pow a 2) (+ (* -3 (* (sqrt (/ c a)) (sqrt -3))) (* -3 (/ b a)))) |
(* (pow a 2) (+ (* -3 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -3 (/ b a)) (* -3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3))))))) |
(* (pow a 2) (+ (* -3 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -3 (/ b a)) (+ (* -3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 3/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))))))) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2))) a) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))) a) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (+ (* -1/2 (/ (pow b 3) (* a (* c (pow (sqrt -3) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))))) a) |
(* a (+ (* -3/2 (/ c b)) (/ b a))) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(* -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 (* (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)))))) |
(* -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)))))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))) |
(* 3 (* (sqrt (* (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) |
(* (pow a 2) (+ (* -3 (/ b a)) (* 3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -3/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3 b)) a)) (* 3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -3/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 3 b)) a)) (* 3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (/ b (pow (sqrt 3) 2))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a))) a))) a)) |
(* -1 (* a (+ (* -1 (/ b a)) (* 3/2 (/ c b))))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(+ (* 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 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))) |
(+ (* 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))))))))) |
(/ (+ (* -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 2)) |
(* -1 b) |
(+ (* -3 (* a b)) (* -3 (* (sqrt (* (pow a 3) c)) (sqrt -3)))) |
(+ (* -3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) (* b (+ (* -3 a) (* -3/2 (* (sqrt (/ a c)) (/ b (sqrt -3))))))) |
(+ (* -3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) (* b (+ (* -3 a) (* b (+ (* -3/2 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* 3/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3))))))))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))))) (/ 1 (* a (pow (sqrt -3) 2)))))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3))))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* a (pow (sqrt -3) 2)))))) |
(/ (+ (* -3/2 (* a c)) (pow b 2)) b) |
(- (pow b 2) (* 3 (* a c))) |
(/ (+ (* -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) |
(/ (+ (* -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) |
(* 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))))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* b (+ (* -6 a) (* 9/2 (/ (* (pow a 2) c) (pow b 2))))) |
(* b (+ (* -6 a) (+ (* 27/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 9/2 (/ (* (pow a 2) c) (pow b 2)))))) |
(* b (+ (* -6 a) (+ (* 27/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* 9/2 (/ (* (pow a 2) c) (pow b 2))) (* 81/16 (/ (* (pow a 4) (pow c 3)) (pow b 6))))))) |
(/ (+ (* -27/32 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -27/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))))))) b) |
(* -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))))))) |
(* -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 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -9/2 (/ (* (pow a 2) c) b)) |
(* -1 (/ (+ (* 27/8 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* 9/2 (* (pow a 2) c))) b)) |
(* -1 (/ (+ (* 27/8 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (+ (* 9/2 (* (pow a 2) c)) (* 81/16 (/ (* (pow a 4) (pow c 3)) (pow b 4))))) b)) |
(* -1 (/ (+ (* 3/2 (/ (* a (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4))))) (pow b 6))) (+ (* 27/8 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (+ (* 9/2 (* (pow a 2) c)) (* 81/16 (/ (* (pow a 4) (pow c 3)) (pow b 4)))))) b)) |
(* -1 (* b (- (+ (* -1 (/ (+ (* -3/8 (* a (pow c 2))) (* 3/4 (* a (pow c 2)))) (pow b 4))) (* 2/3 (/ 1 a))) (* 1/2 (/ c (pow b 2)))))) |
(* -1 (* b (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -3/8 (* a (pow c 2))) (* 3/4 (* a (pow c 2))))))) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* 2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (* 2/3 (/ 1 a))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 1/2 (/ c (pow b 2))) (* 3/4 (/ (* a (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 1))) |
(* 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)))) |
(* 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)))))))) |
(+ 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)))))))) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(+ (* -6 (* a b)) (* 9/2 (/ (* (pow a 2) c) b))) |
(+ (* -6 (* a b)) (* c (+ (* 27/8 (/ (* (pow a 3) c) (pow b 3))) (* 9/2 (/ (pow a 2) b))))) |
(+ (* -6 (* a b)) (* c (+ (* 9/2 (/ (pow a 2) b)) (* c (+ (* 27/8 (/ (pow a 3) (pow b 3))) (* 81/16 (/ (* (pow a 4) c) (pow b 5)))))))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* c (+ (* -27/32 (/ (pow a 3) (pow b 7))) (* -27/128 (/ (pow a 3) (pow b 7))))))))) (* 1/2 (/ 1 b)))) |
(* 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))))))) |
(* 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))) |
(* 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)))))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* c (+ (* -3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (* -3 (/ (* a b) c)))) |
(* c (+ (* -3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (+ (* -3 (/ (* a b) c)) (* -3/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3))))))) |
(* c (+ (* -3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (+ (* -3 (/ (* a b) c)) (+ (* -3/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (* 3/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))))))) |
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (pow c 2)))) (* -1 (/ b (* a (pow (sqrt -3) 2))))) |
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (sqrt -3)))) (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4))))) (pow c 3)))) (+ (* -1 (/ b (* a (pow (sqrt -3) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))))) |
(* c (+ (* -3/2 (/ a b)) (/ b c))) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(* -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 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(* -1 (* c (+ (* -3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) (* 3 (/ (* a b) c))))) |
(* -1 (* c (+ (* -3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -3 (* a b)) (* 3/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))))) |
(* -1 (* c (+ (* -3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -3 (* a b)) (* -1 (/ (+ (* -3/2 (* (sqrt (* a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3/8 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) c))) c))))) |
(+ (* -1 (/ b (* a (pow (sqrt 3) 2)))) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4))))) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 3/2 (/ a b))))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
| Outputs |
|---|
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(* -3/2 (/ (* a c) b)) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b) (/.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a b) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a b) |
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
(* -1/2 c) |
(*.f64 #s(literal -1/2 binary64) c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) |
(/ b a) |
(/.f64 b a) |
(* -2/3 (/ b a)) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
(* -6 (* a b)) |
(*.f64 (*.f64 b a) #s(literal -6 binary64)) |
(* a (+ (* -6 b) (* 9/2 (/ (* a c) b)))) |
(*.f64 (fma.f64 #s(literal 9/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -6 binary64) b)) a) |
(* a (+ (* -6 b) (* a (+ (* 27/8 (/ (* a (pow c 2)) (pow b 3))) (* 9/2 (/ c b)))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 27/8 binary64) a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal 9/2 binary64) (/.f64 c b))) a (*.f64 #s(literal -6 binary64) b)) a) |
(* a (+ (* -6 b) (* a (+ (* 9/2 (/ c b)) (* a (+ (* 27/8 (/ (pow c 2) (pow b 3))) (* 81/16 (/ (* a (pow c 3)) (pow b 5))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 81/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 27/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal 9/2 binary64) (/.f64 c b))) a (*.f64 #s(literal -6 binary64) b)) a) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* a (+ (* -27/32 (/ (pow c 4) (pow b 7))) (* -27/128 (/ (pow c 4) (pow b 7)))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64)) a (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(* 3 (* a c)) |
(*.f64 (*.f64 c a) #s(literal 3 binary64)) |
(/ -1 a) |
(/.f64 #s(literal -1 binary64) a) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/6 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a)))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(fma.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/6 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a)) a) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a))) 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))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a)))) a) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)))) a) |
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(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 3 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -3/2 binary64) (*.f64 #s(literal -3 binary64) (fma.f64 a (/.f64 b c) (*.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -3 binary64)))))) c) |
(* c (+ (* -3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (+ (* -3 (/ (* a b) c)) (+ (* -3/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (* 3/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))))))) |
(*.f64 (fma.f64 #s(literal -3 binary64) (fma.f64 a (/.f64 b c) (*.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) a))) (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 3 binary64))))))) c) |
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (pow c 2)))) (* -1 (/ b (* a (pow (sqrt -3) 2))))) |
(fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) c) (/.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -3 binary64))) (/.f64 b #s(literal -3 binary64)))) c) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) |
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (sqrt -3)))) (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4))))) (pow c 3)))) (+ (* -1 (/ b (* a (pow (sqrt -3) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))))) |
(-.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 a a))) (/.f64 (*.f64 c c) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) b) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 b (sqrt.f64 #s(literal -3 binary64))) (/.f64 b #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))))) (neg.f64 (sqrt.f64 #s(literal -3 binary64))))) (neg.f64 (pow.f64 c #s(literal 3 binary64)))) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 b b) #s(literal -3 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))) |
(* c (+ (* -3/2 (/ a b)) (/ b c))) |
(*.f64 (fma.f64 #s(literal -3/2 binary64) (/.f64 a b) (/.f64 b c)) c) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 b b) c)) c) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(*.f64 (*.f64 (neg.f64 c) #s(literal 1/3 binary64)) (fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (/.f64 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))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (/.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c))) (*.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))))) (neg.f64 c))) (neg.f64 c)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 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)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (neg.f64 b)) (neg.f64 c)))) |
(* -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)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))))) (neg.f64 c)) b) (neg.f64 c)))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(*.f64 (neg.f64 c) (neg.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 b b) c)))) |
(* -1 (* c (+ (* -3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) (* 3 (/ (* a b) c))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64)) (*.f64 (*.f64 a (/.f64 b c)) #s(literal 3 binary64)))) |
(* -1 (* c (+ (* -3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -3 (* a b)) (* 3/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b a) #s(literal -3 binary64))) (neg.f64 c)))) |
(* -1 (* c (+ (* -3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -3 (* a b)) (* -1 (/ (+ (* -3/2 (* (sqrt (* a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3/8 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) c))) c))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 b #s(literal -3 binary64)) a (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (*.f64 c a)))) (neg.f64 c))) (neg.f64 c)))) |
(+ (* -1 (/ b (* a (pow (sqrt 3) 2)))) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) |
(+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(-.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 c a))) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (/.f64 c #s(literal 3 binary64)) (/.f64 b a))) c)) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4))))) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) b) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 b b) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) c) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 4 binary64)) a) a)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 b b) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))))) (neg.f64 c)) #s(literal -1 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 b c) a))) c)) |
(* -1 (* c (+ (* -1 (/ b c)) (* 3/2 (/ a b))))) |
(*.f64 (neg.f64 c) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (/.f64 (neg.f64 b) c))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
(*.f64 (neg.f64 c) (neg.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 b b) c)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 370 |
| 0 | 87 | 371 |
| 1 | 324 | 323 |
| 2 | 2453 | 323 |
| 0 | 9201 | 320 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) |
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b) |
#s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) |
(*.f64 #s(literal -1/2 binary64) c) |
(*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a)) |
(/.f64 b #s(literal -1 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a)))) |
(*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a))) |
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b))) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b))) (*.f64 #s(literal 3 binary64) a)) |
(neg.f64 b) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b)) |
(*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))))) |
(/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)))))) |
(-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) |
(*.f64 b b) |
(/.f64 #s(literal -1 binary64) a) |
(fma.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)) |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b))) |
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(/.f64 (neg.f64 (/.f64 b a)) #s(literal -1 binary64)) |
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(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 3 binary64)) #s(literal -27/8 binary64) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (fma.f64 b (-.f64 b (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64)) #s(literal 9/4 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64)) #s(literal 9/4 binary64) (*.f64 (neg.f64 b) b)) (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c (neg.f64 b))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 3 binary64)) #s(literal -27/8 binary64) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64)) #s(literal 9/4 binary64)) (*.f64 (/.f64 a b) (*.f64 (*.f64 #s(literal -3/2 binary64) c) b))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 3 binary64)) #s(literal -27/8 binary64) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b (-.f64 b (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64)) #s(literal 9/4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c (neg.f64 b)) (fma.f64 (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64)) #s(literal 9/4 binary64) (*.f64 (neg.f64 b) b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (-.f64 b (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64)) #s(literal 9/4 binary64))) (fma.f64 (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 3 binary64)) #s(literal -27/8 binary64) (pow.f64 b #s(literal 3 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c (neg.f64 b)) (fma.f64 (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64)) #s(literal 9/4 binary64) (*.f64 (neg.f64 b) b))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 b (-.f64 b (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64)) #s(literal 9/4 binary64))) (fma.f64 (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 3 binary64)) #s(literal -27/8 binary64) (pow.f64 b #s(literal 3 binary64)))))) |
(fma.f64 (/.f64 (*.f64 #s(literal -3/2 binary64) c) #s(literal 1 binary64)) (/.f64 a b) b) |
(fma.f64 (/.f64 (*.f64 #s(literal -3/2 binary64) c) (*.f64 b #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal -1 binary64))) b) |
(fma.f64 (/.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 (neg.f64 b) a)) #s(literal -1 binary64) b) |
(fma.f64 (/.f64 (*.f64 #s(literal -3/2 binary64) c) (neg.f64 b)) (neg.f64 a) b) |
(fma.f64 (/.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 #s(literal -1 binary64) a)) (/.f64 #s(literal -1 binary64) b) b) |
(fma.f64 (/.f64 (*.f64 #s(literal -3/2 binary64) c) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 b))) b) |
(fma.f64 (/.f64 (*.f64 #s(literal -3/2 binary64) c) #s(literal -1 binary64)) (/.f64 (neg.f64 a) (*.f64 b #s(literal 1 binary64))) b) |
(fma.f64 (/.f64 (*.f64 #s(literal -3/2 binary64) c) #s(literal -1 binary64)) (/.f64 (neg.f64 a) b) b) |
(fma.f64 (/.f64 (*.f64 #s(literal -3/2 binary64) c) b) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) a) #s(literal -1 binary64))) b) |
(fma.f64 (/.f64 (*.f64 #s(literal -3/2 binary64) c) b) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) a))) b) |
(fma.f64 (/.f64 (*.f64 #s(literal -3/2 binary64) c) b) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal -1 binary64))) b) |
(fma.f64 (/.f64 (*.f64 #s(literal -3/2 binary64) c) b) (/.f64 a #s(literal 1 binary64)) b) |
(fma.f64 (/.f64 #s(literal -3/2 binary64) (*.f64 b #s(literal 1 binary64))) (/.f64 c (pow.f64 a #s(literal -1 binary64))) b) |
(fma.f64 (/.f64 #s(literal -3/2 binary64) (/.f64 (neg.f64 b) a)) (/.f64 c #s(literal -1 binary64)) b) |
(fma.f64 (/.f64 #s(literal -3/2 binary64) b) (/.f64 c (/.f64 (/.f64 #s(literal -1 binary64) a) #s(literal -1 binary64))) b) |
(fma.f64 (/.f64 #s(literal -3/2 binary64) b) (/.f64 c (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) a))) b) |
(fma.f64 (/.f64 #s(literal -3/2 binary64) b) (/.f64 c (pow.f64 a #s(literal -1 binary64))) b) |
(fma.f64 (/.f64 c (*.f64 b #s(literal 1 binary64))) (/.f64 #s(literal -3/2 binary64) (pow.f64 a #s(literal -1 binary64))) b) |
(fma.f64 (/.f64 c (/.f64 (neg.f64 b) a)) #s(literal 3/2 binary64) b) |
(fma.f64 (/.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -1 binary64) a)) (/.f64 c (neg.f64 b)) b) |
(fma.f64 (/.f64 c (neg.f64 b)) (/.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -1 binary64) a)) b) |
(fma.f64 (/.f64 #s(literal -3/2 binary64) (neg.f64 b)) (/.f64 c (/.f64 #s(literal -1 binary64) a)) b) |
(fma.f64 (/.f64 c (/.f64 #s(literal -1 binary64) a)) (/.f64 #s(literal -3/2 binary64) (neg.f64 b)) b) |
(fma.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 b))) b) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) a)) (/.f64 (*.f64 #s(literal -3/2 binary64) c) #s(literal -1 binary64)) b) |
(fma.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c b) |
(fma.f64 (/.f64 (neg.f64 a) b) (/.f64 (*.f64 #s(literal -3/2 binary64) c) #s(literal -1 binary64)) b) |
(fma.f64 (/.f64 a #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -3/2 binary64) c) (*.f64 b #s(literal 1 binary64))) b) |
(fma.f64 (/.f64 a #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -3/2 binary64) c) b) b) |
(fma.f64 #s(literal 3/2 binary64) (/.f64 c (*.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 b))) b) |
(fma.f64 (/.f64 c b) (/.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) a) #s(literal -1 binary64))) b) |
(fma.f64 (/.f64 c b) (/.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) a))) b) |
(fma.f64 (/.f64 c b) (/.f64 #s(literal -3/2 binary64) (pow.f64 a #s(literal -1 binary64))) b) |
(fma.f64 (*.f64 (*.f64 #s(literal -3/2 binary64) c) a) (pow.f64 b #s(literal -1 binary64)) b) |
(fma.f64 (*.f64 (/.f64 a b) c) #s(literal -3/2 binary64) b) |
(fma.f64 (pow.f64 b #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 (/.f64 #s(literal -1 binary64) a) #s(literal -1 binary64))) b) |
(fma.f64 (pow.f64 b #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -3/2 binary64) c) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) a))) b) |
(fma.f64 (pow.f64 b #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -3/2 binary64) c) (pow.f64 a #s(literal -1 binary64))) b) |
(fma.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 #s(literal -1 binary64) a)) b) |
(fma.f64 (neg.f64 a) (/.f64 (*.f64 #s(literal -3/2 binary64) c) (neg.f64 b)) b) |
(fma.f64 (/.f64 a b) (/.f64 (*.f64 #s(literal -3/2 binary64) c) #s(literal 1 binary64)) b) |
(fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b) |
(fma.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b) |
(fma.f64 #s(literal -3/2 binary64) (*.f64 (/.f64 a b) c) b) |
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -3/2 binary64) c) (*.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 b))) b) |
(fma.f64 c (*.f64 #s(literal -3/2 binary64) (/.f64 a b)) b) |
(fma.f64 a (*.f64 (pow.f64 b #s(literal -1 binary64)) (*.f64 #s(literal -3/2 binary64) c)) b) |
(-.f64 (/.f64 (*.f64 b b) (-.f64 b (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c))) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64)) #s(literal 9/4 binary64)) (-.f64 b (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64)) #s(literal 9/4 binary64)) (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c (neg.f64 b))) (/.f64 (*.f64 b b) (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c (neg.f64 b)))) |
(+.f64 (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c) b) |
(+.f64 b (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) |
(*.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)))) (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))))) |
(*.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)))) |
(pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) #s(literal 2 binary64)) |
(pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1 binary64)) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)) |
(sqrt.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 2 binary64))) |
(fabs.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)))) |
(*.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)))) (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))))) |
(*.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/4 binary64))) |
(pow.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) #s(literal 1 binary64)) |
(pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) |
(fabs.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)))) |
(exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))))) |
Compiled 54 911 to 4 720 computations (91.4% saved)
40 alts after pruning (37 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 153 | 24 | 1 177 |
| Fresh | 13 | 13 | 26 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 169 | 40 | 1 209 |
| Status | Accuracy | Program |
|---|---|---|
| 10.2% | (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) #s(literal 2 binary64)))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) | |
| 15.8% | (/.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (+.f64 #s(literal 0 binary64) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 c #s(literal 3 binary64)) a) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 c #s(literal 3 binary64)) a) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (+.f64 #s(literal 0 binary64) b))) (*.f64 a #s(literal 3 binary64))) | |
| 10.7% | (/.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (/.f64 #s(literal -1 binary64) b) (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) #s(literal 2 binary64)))))) (*.f64 (/.f64 #s(literal -1 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) | |
| 31.5% | (/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) a) #s(literal 3 binary64)) | |
| ▶ | 49.5% | (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) a) (*.f64 #s(literal 3 binary64) a)) (*.f64 #s(literal 3 binary64) b)) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a))) |
| ✓ | 50.2% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
| ▶ | 50.1% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) (*.f64 a #s(literal 3 binary64))) |
| 31.5% | (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) (*.f64 #s(literal 3 binary64) a)) | |
| 31.5% | (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* a -3) c) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 c a)))) b) (*.f64 a #s(literal 3 binary64))) | |
| 9.2% | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 a (*.f64 (pow.f64 b #s(literal -1 binary64)) (*.f64 #s(literal -3/2 binary64) c)) b))) (*.f64 #s(literal 3 binary64) a)) | |
| 4.2% | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64)) #s(literal 9/4 binary64) (*.f64 (neg.f64 b) b)) (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c (neg.f64 b))))) (*.f64 #s(literal 3 binary64) a)) | |
| 4.9% | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c (neg.f64 b)) (fma.f64 (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64)) #s(literal 9/4 binary64) (*.f64 (neg.f64 b) b)))))) (*.f64 #s(literal 3 binary64) a)) | |
| 31.5% | (/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) #s(literal 1/3 binary64)) a) | |
| 28.8% | (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 (*.f64 c a) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)))))) | |
| 28.3% | (/.f64 #s(approx (- (sqrt (+ (* (* a -3) c) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 a #s(literal 3 binary64))) | |
| 34.3% | (/.f64 #s(approx (- (sqrt (+ (* (* a -3) c) (* b b))) b) (*.f64 (neg.f64 b) (fma.f64 (/.f64 #s(literal -3/2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)))) (*.f64 a #s(literal 3 binary64))) | |
| 34.5% | (/.f64 #s(approx (- (sqrt (+ (* (* a -3) c) (* b b))) b) (*.f64 #s(literal -2 binary64) b)) (*.f64 a #s(literal 3 binary64))) | |
| 24.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 50.1% | (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) a) #s(literal 1/3 binary64)) | |
| 31.5% | (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) a) #s(literal 1/3 binary64)) | |
| 9.2% | (*.f64 (/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b) a) #s(literal 1/3 binary64)) | |
| 31.5% | (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) a)) (fma.f64 #s(literal -1 binary64) b (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)))))) | |
| 22.4% | #s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) (fma.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| ▶ | 33.8% | #s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
| ▶ | 34.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) |
| 32.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 c a) b) b) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b)) | |
| ✓ | 33.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
| 34.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) #s(literal -2/3 binary64)))) | |
| ▶ | 33.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))))) |
| 34.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -2/3 binary64) b)))) | |
| 34.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) | |
| 34.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) (*.f64 b #s(literal 1 binary64)))) | |
| 34.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (neg.f64 b) #s(literal -2/3 binary64)))) | |
| 34.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) a)) (neg.f64 b))) | |
| 33.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))) (/.f64 #s(literal -1 binary64) b))) | |
| 34.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) | |
| ✓ | 34.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
| 34.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) a)))) | |
| 34.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 b)))) | |
| 30.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) b)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) a)))) |
Compiled 2 323 to 1 580 computations (32% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 2 | (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 2 | (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) a) (*.f64 #s(literal 3 binary64) a)) (*.f64 #s(literal 3 binary64) b)) | |
| cost-diff | 2 | (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) a) (*.f64 #s(literal 3 binary64) a)) (*.f64 #s(literal 3 binary64) b)) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a))) | |
| cost-diff | 4 | (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) a) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 0 | (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | #s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) | |
| cost-diff | 3 | (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))) | |
| cost-diff | 0 | #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) | |
| cost-diff | 0 | (/.f64 b #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))))) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)))) | |
| cost-diff | 0 | (*.f64 #s(literal -2/3 binary64) b) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal -2/3 binary64) b) a) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) | |
| cost-diff | 0 | (fma.f64 b b (*.f64 (*.f64 c #s(literal -3 binary64)) a)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c #s(literal -3 binary64)) a))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) | |
| cost-diff | 0 | (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) (*.f64 a #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 384 |
| 0 | 96 | 371 |
| 1 | 193 | 367 |
| 2 | 428 | 347 |
| 3 | 1218 | 345 |
| 4 | 3103 | 341 |
| 5 | 5808 | 341 |
| 0 | 8182 | 335 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) (*.f64 a #s(literal 3 binary64))) |
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) |
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c #s(literal -3 binary64)) a))) |
(fma.f64 b b (*.f64 (*.f64 c #s(literal -3 binary64)) a)) |
b |
(*.f64 (*.f64 c #s(literal -3 binary64)) a) |
(*.f64 c #s(literal -3 binary64)) |
c |
#s(literal -3 binary64) |
a |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) |
(/.f64 (*.f64 #s(literal -2/3 binary64) b) a) |
(*.f64 #s(literal -2/3 binary64) b) |
#s(literal -2/3 binary64) |
b |
a |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))))) |
(/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)))) |
#s(literal 1 binary64) |
(/.f64 b #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))) |
b |
#s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) |
(*.f64 #s(literal -1/2 binary64) c) |
#s(literal -1/2 binary64) |
c |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
(*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))) |
(neg.f64 b) |
b |
(fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) |
(/.f64 c (*.f64 b b)) |
c |
(*.f64 b b) |
#s(literal -1/2 binary64) |
(/.f64 #s(literal 2/3 binary64) a) |
#s(literal 2/3 binary64) |
a |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) a) (*.f64 #s(literal 3 binary64) a)) (*.f64 #s(literal 3 binary64) b)) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a))) |
(-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) a) (*.f64 #s(literal 3 binary64) a)) (*.f64 #s(literal 3 binary64) b)) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) a) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) a) |
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) |
(fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) |
(*.f64 c a) |
c |
a |
#s(literal -3 binary64) |
(*.f64 b b) |
b |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
(*.f64 #s(literal 3 binary64) b) |
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) (*.f64 a #s(literal 3 binary64))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c #s(literal -3 binary64)) a))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 b b (*.f64 (*.f64 c #s(literal -3 binary64)) a)) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
b |
(*.f64 (*.f64 c #s(literal -3 binary64)) a) |
(*.f64 (*.f64 a #s(literal -3 binary64)) c) |
(*.f64 c #s(literal -3 binary64)) |
(*.f64 #s(literal -3 binary64) c) |
c |
#s(literal -3 binary64) |
a |
(*.f64 a #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b)) |
(/.f64 (*.f64 #s(literal -2/3 binary64) b) a) |
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b) |
(*.f64 #s(literal -2/3 binary64) b) |
#s(literal -2/3 binary64) |
b |
a |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))))) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)))) |
(/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b) |
#s(literal 1 binary64) |
(/.f64 b #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))) |
b |
#s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) |
(*.f64 #s(literal -1/2 binary64) c) |
#s(literal -1/2 binary64) |
c |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) (fma.f64 (/.f64 #s(literal 1/2 binary64) b) c (*.f64 (/.f64 #s(literal -2/3 binary64) a) b))) |
(*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) b) c (*.f64 (/.f64 #s(literal -2/3 binary64) a) b)) |
(neg.f64 b) |
b |
(fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) |
(/.f64 c (*.f64 b b)) |
c |
(*.f64 b b) |
#s(literal -1/2 binary64) |
(/.f64 #s(literal 2/3 binary64) a) |
#s(literal 2/3 binary64) |
a |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) a) (*.f64 #s(literal 3 binary64) a)) (*.f64 #s(literal 3 binary64) b)) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) a) (*.f64 #s(literal 3 binary64) a)) (*.f64 #s(literal 3 binary64) b)) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -3 binary64)) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) a) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) a) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) |
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 c a) |
(*.f64 a c) |
c |
a |
#s(literal -3 binary64) |
(*.f64 b b) |
b |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
(*.f64 #s(literal 3 binary64) b) |
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 #s(literal 9 binary64) a) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.614064017056694 | (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) a) (*.f64 #s(literal 3 binary64) a)) (*.f64 #s(literal 3 binary64) b)) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a))) | |
| accuracy | 9.012724121366904 | (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) a) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 15.102841322835154 | (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) a) (*.f64 #s(literal 3 binary64) a)) (*.f64 #s(literal 3 binary64) b)) | |
| accuracy | 23.234375780906056 | (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) | |
| accuracy | 0.34765625 | (/.f64 #s(literal 2/3 binary64) a) | |
| accuracy | 6.028175674455061 | (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))) | |
| accuracy | 7.121853401036551 | (/.f64 c (*.f64 b b)) | |
| accuracy | 41.935650024651004 | #s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) | |
| accuracy | 0.7851468017291008 | (/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)))) | |
| accuracy | 1.4447769577349814 | (/.f64 b #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))) | |
| accuracy | 22.842381299438816 | #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) | |
| accuracy | 42.51293055654638 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))))) | |
| accuracy | 0.19140625 | (/.f64 (*.f64 #s(literal -2/3 binary64) b) a) | |
| accuracy | 0.328125 | (*.f64 #s(literal -2/3 binary64) b) | |
| accuracy | 41.82961098577464 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) | |
| accuracy | 0.5039007452111204 | (fma.f64 b b (*.f64 (*.f64 c #s(literal -3 binary64)) a)) | |
| accuracy | 3.646104107942435 | (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) (*.f64 a #s(literal 3 binary64))) | |
| accuracy | 13.23146668749011 | (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) | |
| accuracy | 23.234375780906056 | (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c #s(literal -3 binary64)) a))) |
| 78.0ms | 47× | 2 | valid |
| 69.0ms | 151× | 0 | valid |
| 37.0ms | 38× | 1 | valid |
| 18.0ms | 17× | 3 | valid |
| 3.0ms | 3× | 4 | valid |
Compiled 726 to 126 computations (82.6% saved)
ival-mult: 37.0ms (28.2% of total)ival-div: 33.0ms (25.1% of total)adjust: 20.0ms (15.2% of total)ival-sqrt: 12.0ms (9.1% of total)ival-add: 11.0ms (8.4% of total)const: 9.0ms (6.9% of total)ival-sub: 8.0ms (6.1% of total)exact: 1.0ms (0.8% of total)ival-neg: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) (*.f64 a #s(literal 3 binary64))) |
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) |
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c #s(literal -3 binary64)) a))) |
(fma.f64 b b (*.f64 (*.f64 c #s(literal -3 binary64)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) |
(/.f64 (*.f64 #s(literal -2/3 binary64) b) a) |
(*.f64 #s(literal -2/3 binary64) b) |
(/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))))) |
(/.f64 b #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))) |
#s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) |
(*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
(neg.f64 b) |
(fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) a) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) a) (*.f64 #s(literal 3 binary64) a)) (*.f64 #s(literal 3 binary64) b)) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a))) |
(-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) a) (*.f64 #s(literal 3 binary64) a)) (*.f64 #s(literal 3 binary64) b)) |
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 c (*.f64 b b)) |
(/.f64 #s(literal 2/3 binary64) a) |
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) |
| Outputs |
|---|
(* -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))))))) |
(* -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)))))))) |
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)))))))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -2/3 (/ b 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 (- (* 27/32 (/ (* a (pow c 2)) (pow b 5))) (* 9/8 (/ c (pow b 3))))) (* 3/2 (/ 1 b))))) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a) |
(/ 2/3 a) |
(/ (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))) a) |
(* 3 b) |
(+ (* -9/2 (/ (* a c) b)) (* 3 b)) |
(+ (* 3 b) (* a (+ (* -9/2 (/ c b)) (* -27/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 3 b) (* a (+ (* -9/2 (/ c b)) (* a (+ (* -81/16 (/ (* a (pow c 3)) (pow b 5))) (* -27/8 (/ (pow c 2) (pow b 3)))))))) |
(* -9/2 (/ (* a c) b)) |
(* a (+ (* -9/2 (/ c b)) (* -27/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -9/2 (/ c b)) (* a (+ (* -81/16 (/ (* a (pow c 3)) (pow b 5))) (* -27/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -9/2 (/ c b)) (* a (+ (* -27/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -81/16 (/ (pow c 3) (pow b 5))) (* -3/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* 9 a) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* (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))) |
(* 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)))))) |
(* -3 (* a c)) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) |
(* -8/3 (/ (pow b 3) (* a (pow c 2)))) |
(/ (+ (* -8/3 (/ (pow b 3) (pow c 2))) (* 32/9 (/ (pow b 5) (* a (pow c 3))))) a) |
(/ (- (+ (* -128/27 (/ (pow b 7) (* (pow a 2) (pow c 4)))) (* -8/3 (/ (pow b 3) (pow c 2)))) (* -32/9 (/ (pow b 5) (* a (pow c 3))))) a) |
(/ (- (+ (* -8/3 (/ (pow b 3) (pow c 2))) (* 512/81 (/ (pow b 9) (* (pow a 3) (pow c 5))))) (+ (* -32/9 (/ (pow b 5) (* a (pow c 3)))) (* 128/27 (/ (pow b 7) (* (pow a 2) (pow c 4)))))) a) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2))))) |
(* 1/2 (/ c b)) |
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) |
(* -1/2 (/ c (pow b 2))) |
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))) |
(* 3 (* (sqrt (* a c)) (sqrt -3))) |
(* a (+ (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 3 (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -3/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* a (+ (* -3/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 3/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 3 (* (sqrt (/ c a)) (sqrt -3))))))) |
(* a (+ (* -3 (/ b a)) (* 3 (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (- (+ (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 3 (* (sqrt (/ c a)) (sqrt -3)))) (* 3 (/ b a)))) |
(* a (- (+ (* -3/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 3 (* (sqrt (/ c a)) (sqrt -3))))) (* 3 (/ 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 (* (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)))))) |
(* -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)))))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(* -1 (/ (+ (* -32/9 (/ (pow b 5) (* a (pow c 3)))) (* 8/3 (/ (pow b 3) (pow c 2)))) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -128/27 (/ (pow b 7) (* a (pow c 4)))) (* -32/9 (/ (pow b 5) (pow c 3)))) a)) (* 8/3 (/ (pow b 3) (pow c 2)))) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -512/81 (/ (pow b 9) (* a (pow c 5)))) (* -128/27 (/ (pow b 7) (pow c 4)))) a)) (* -32/9 (/ (pow b 5) (pow c 3)))) a)) (* 8/3 (/ (pow b 3) (pow c 2)))) a)) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))) |
(* -3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -3/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* a (+ (* -3/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 3/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))) |
(* -1 (* a (+ (* 3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 3 (/ b a))))) |
(* -1 (* a (+ (* -1 (/ (- (* -3/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3 b)) a)) (* 3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -3/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 3 b)) a)) (* 3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(+ (* 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 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))) |
(+ (* 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))))))))) |
(* -2/3 b) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) |
(* (pow b 3) (- (* 32/9 (/ (pow b 2) (* (pow a 2) (pow c 3)))) (* 8/3 (/ 1 (* a (pow c 2)))))) |
(* (pow b 3) (- (* (pow b 2) (+ (* -128/27 (/ (pow b 2) (* (pow a 3) (pow c 4)))) (* 32/9 (/ 1 (* (pow a 2) (pow c 3)))))) (* 8/3 (/ 1 (* a (pow c 2)))))) |
(* (pow b 3) (- (* (pow b 2) (+ (* (pow b 2) (- (* 512/81 (/ (pow b 2) (* (pow a 4) (pow c 5)))) (* 128/27 (/ 1 (* (pow a 3) (pow c 4)))))) (* 32/9 (/ 1 (* (pow a 2) (pow c 3)))))) (* 8/3 (/ 1 (* a (pow c 2)))))) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2)) |
(/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b) |
(* -1 b) |
(/ (+ (* -1/2 c) (* 2/3 (/ (pow b 2) a))) (pow b 2)) |
(+ (* 3/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* 3 (* (sqrt (* a c)) (sqrt -3)))) |
(+ (* 3 (* (sqrt (* a c)) (sqrt -3))) (* (pow b 2) (+ (* -3/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(+ (* 3 (* (sqrt (* a c)) (sqrt -3))) (* (pow b 2) (+ (* 3/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -3/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 3/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
(+ (* -3 b) (* 3 (* (sqrt (* a c)) (sqrt -3)))) |
(+ (* 3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 3/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 3))) |
(+ (* 3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -3/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 3))) |
(/ c (pow b 2)) |
(/ (+ (* -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) |
(/ (+ (* -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) |
(* 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))))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* 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 (- (* 27/32 (/ (* (pow a 3) (pow c 2)) (pow b 6))) (+ (* -3/2 (/ a (pow b 2))) (+ (* 9/8 (/ (* (pow a 2) c) (pow b 4))) (* 2 (/ 1 c)))))) |
(* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))) |
(* b (+ 3 (* -9/2 (/ (* a c) (pow b 2))))) |
(* b (+ 3 (+ (* -9/2 (/ (* a c) (pow b 2))) (* -27/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 3 (+ (* -81/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -9/2 (/ (* a c) (pow b 2))) (* -27/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(/ (+ (* -9/2 (* a c)) (* -27/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -81/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -9/2 (* a c)) (* -27/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -81/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -9/2 (* a c)) (+ (* -27/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -3/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -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))))))) |
(* -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 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -1 (* b (+ (* -3/2 (/ a (pow b 2))) (* 2 (/ 1 c))))) |
(* -1 (* b (- (+ (* 9/8 (/ (* (pow a 2) c) (pow b 4))) (* 2 (/ 1 c))) (* 3/2 (/ a (pow b 2)))))) |
(* -1 (* b (- (+ (* -27/32 (/ (* (pow a 3) (pow c 2)) (pow b 6))) (* 2 (/ 1 c))) (+ (* -9/8 (/ (* (pow a 2) c) (pow b 4))) (* 3/2 (/ a (pow b 2))))))) |
(* -3 b) |
(* -1 (* b (+ 3 (* -9/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 3 (+ (* -9/2 (/ (* a c) (pow b 2))) (* -27/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 3 (+ (* -81/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -9/2 (/ (* a c) (pow b 2))) (* -27/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -6 b) |
(* -1 (* b (+ 6 (* -9/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 6 (+ (* -9/2 (/ (* a c) (pow b 2))) (* -27/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 6 (+ (* -81/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -9/2 (/ (* a c) (pow b 2))) (* -27/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* 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)))) |
(* 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)))))))) |
(+ 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)))))))) |
(/ (+ (* -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 (- (* c (- (* 27/32 (/ (* (pow a 3) c) (pow b 5))) (* 9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b))))) c) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(+ (* 3 b) (* c (+ (* -9/2 (/ a b)) (* -27/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 3 b) (* c (+ (* -9/2 (/ a b)) (* c (+ (* -81/16 (/ (* (pow a 3) c) (pow b 5))) (* -27/8 (/ (pow a 2) (pow b 3)))))))) |
(* c (+ (* -9/2 (/ a b)) (* -27/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -9/2 (/ a b)) (* c (+ (* -81/16 (/ (* (pow a 3) c) (pow b 5))) (* -27/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -9/2 (/ a b)) (* c (+ (* -27/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -81/16 (/ (pow a 3) (pow b 5))) (* -3/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* 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))))))) |
(* 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))) |
(* 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)))))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(/ (+ (* -8/3 (/ (pow b 3) a)) (* 32/9 (/ (pow b 5) (* (pow a 2) c)))) (pow c 2)) |
(/ (- (+ (* -128/27 (/ (pow b 7) (* (pow a 3) (pow c 2)))) (* -8/3 (/ (pow b 3) a))) (* -32/9 (/ (pow b 5) (* (pow a 2) c)))) (pow c 2)) |
(/ (- (+ (* -8/3 (/ (pow b 3) a)) (* 512/81 (/ (pow b 9) (* (pow a 4) (pow c 3))))) (+ (* -32/9 (/ (pow b 5) (* (pow a 2) c))) (* 128/27 (/ (pow b 7) (* (pow a 3) (pow c 2)))))) (pow c 2)) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))) |
(* c (- (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2))))) |
(* c (+ (* 3/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 3 (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -3/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 3/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 3 (* (sqrt (/ a c)) (sqrt -3)))))) |
(* c (+ (* -3/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 3/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 3/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 3 (* (sqrt (/ a c)) (sqrt -3))))))) |
(* c (+ (* -3 (/ b c)) (* 3 (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (- (+ (* 3/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 3 (* (sqrt (/ a c)) (sqrt -3)))) (* 3 (/ b c)))) |
(* c (- (+ (* -3/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 3/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 3 (* (sqrt (/ a c)) (sqrt -3))))) (* 3 (/ b c)))) |
(* -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 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(/ (+ (* -8/3 (/ (pow b 3) a)) (* -1 (/ (- (* 128/27 (/ (pow b 7) (* (pow a 3) c))) (* 32/9 (/ (pow b 5) (pow a 2)))) c))) (pow c 2)) |
(/ (+ (* -8/3 (/ (pow b 3) a)) (* -1 (/ (- (* -1 (/ (- (* 512/81 (/ (pow b 9) (* (pow a 4) c))) (* 128/27 (/ (pow b 7) (pow a 3)))) c)) (* 32/9 (/ (pow b 5) (pow a 2)))) c))) (pow c 2)) |
(* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))) |
(* -1 (* c (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c)))))) |
(* -1 (* c (+ (* 3/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -3/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 3/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* -3/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 3/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 3/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))) |
(* -1 (* c (+ (* 3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 3 (/ b c))))) |
(* -1 (* c (+ (* -1 (/ (- (* -3/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3 b)) c)) (* 3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -3/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 3 b)) c)) (* 3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 37.0ms | b | @ | inf | ((/ (- (sqrt (+ (* b b) (* (* c -3) a))) b) (* a 3)) (- (sqrt (+ (* b b) (* (* c -3) a))) b) (sqrt (+ (* b b) (* (* c -3) a))) (+ (* b b) (* (* c -3) a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (* -2/3 b) a) (* -2/3 b) (/ 1 (/ b (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c))) (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (* (/ (sqrt (+ (* (* c a) -3) (* b b))) a) (* 3 a)) (/ (- (* (/ (sqrt (+ (* (* c a) -3) (* b b))) a) (* 3 a)) (* 3 b)) (* 3 (* 3 a))) (- (* (/ (sqrt (+ (* (* c a) -3) (* b b))) a) (* 3 a)) (* 3 b)) (* 3 (* 3 a)) (/ c (* b b)) (/ 2/3 a) (sqrt (+ (* (* c a) -3) (* b b)))) |
| 6.0ms | a | @ | 0 | ((/ (- (sqrt (+ (* b b) (* (* c -3) a))) b) (* a 3)) (- (sqrt (+ (* b b) (* (* c -3) a))) b) (sqrt (+ (* b b) (* (* c -3) a))) (+ (* b b) (* (* c -3) a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (* -2/3 b) a) (* -2/3 b) (/ 1 (/ b (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c))) (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (* (/ (sqrt (+ (* (* c a) -3) (* b b))) a) (* 3 a)) (/ (- (* (/ (sqrt (+ (* (* c a) -3) (* b b))) a) (* 3 a)) (* 3 b)) (* 3 (* 3 a))) (- (* (/ (sqrt (+ (* (* c a) -3) (* b b))) a) (* 3 a)) (* 3 b)) (* 3 (* 3 a)) (/ c (* b b)) (/ 2/3 a) (sqrt (+ (* (* c a) -3) (* b b)))) |
| 5.0ms | a | @ | inf | ((/ (- (sqrt (+ (* b b) (* (* c -3) a))) b) (* a 3)) (- (sqrt (+ (* b b) (* (* c -3) a))) b) (sqrt (+ (* b b) (* (* c -3) a))) (+ (* b b) (* (* c -3) a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (* -2/3 b) a) (* -2/3 b) (/ 1 (/ b (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c))) (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (* (/ (sqrt (+ (* (* c a) -3) (* b b))) a) (* 3 a)) (/ (- (* (/ (sqrt (+ (* (* c a) -3) (* b b))) a) (* 3 a)) (* 3 b)) (* 3 (* 3 a))) (- (* (/ (sqrt (+ (* (* c a) -3) (* b b))) a) (* 3 a)) (* 3 b)) (* 3 (* 3 a)) (/ c (* b b)) (/ 2/3 a) (sqrt (+ (* (* c a) -3) (* b b)))) |
| 5.0ms | c | @ | -inf | ((/ (- (sqrt (+ (* b b) (* (* c -3) a))) b) (* a 3)) (- (sqrt (+ (* b b) (* (* c -3) a))) b) (sqrt (+ (* b b) (* (* c -3) a))) (+ (* b b) (* (* c -3) a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (* -2/3 b) a) (* -2/3 b) (/ 1 (/ b (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c))) (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (* (/ (sqrt (+ (* (* c a) -3) (* b b))) a) (* 3 a)) (/ (- (* (/ (sqrt (+ (* (* c a) -3) (* b b))) a) (* 3 a)) (* 3 b)) (* 3 (* 3 a))) (- (* (/ (sqrt (+ (* (* c a) -3) (* b b))) a) (* 3 a)) (* 3 b)) (* 3 (* 3 a)) (/ c (* b b)) (/ 2/3 a) (sqrt (+ (* (* c a) -3) (* b b)))) |
| 4.0ms | b | @ | 0 | ((/ (- (sqrt (+ (* b b) (* (* c -3) a))) b) (* a 3)) (- (sqrt (+ (* b b) (* (* c -3) a))) b) (sqrt (+ (* b b) (* (* c -3) a))) (+ (* b b) (* (* c -3) a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (* -2/3 b) a) (* -2/3 b) (/ 1 (/ b (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c))) (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (* (/ (sqrt (+ (* (* c a) -3) (* b b))) a) (* 3 a)) (/ (- (* (/ (sqrt (+ (* (* c a) -3) (* b b))) a) (* 3 a)) (* 3 b)) (* 3 (* 3 a))) (- (* (/ (sqrt (+ (* (* c a) -3) (* b b))) a) (* 3 a)) (* 3 b)) (* 3 (* 3 a)) (/ c (* b b)) (/ 2/3 a) (sqrt (+ (* (* c a) -3) (* b b)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1049 | 6358 |
| 1 | 3422 | 6305 |
| 0 | 8967 | 6005 |
| 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 (+ (* -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))))))) |
(* -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)))))))) |
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)))))))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -2/3 (/ b 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 (- (* 27/32 (/ (* a (pow c 2)) (pow b 5))) (* 9/8 (/ c (pow b 3))))) (* 3/2 (/ 1 b))))) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a) |
(/ 2/3 a) |
(/ (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))) a) |
(* 3 b) |
(+ (* -9/2 (/ (* a c) b)) (* 3 b)) |
(+ (* 3 b) (* a (+ (* -9/2 (/ c b)) (* -27/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 3 b) (* a (+ (* -9/2 (/ c b)) (* a (+ (* -81/16 (/ (* a (pow c 3)) (pow b 5))) (* -27/8 (/ (pow c 2) (pow b 3)))))))) |
(* -9/2 (/ (* a c) b)) |
(* a (+ (* -9/2 (/ c b)) (* -27/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -9/2 (/ c b)) (* a (+ (* -81/16 (/ (* a (pow c 3)) (pow b 5))) (* -27/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -9/2 (/ c b)) (* a (+ (* -27/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -81/16 (/ (pow c 3) (pow b 5))) (* -3/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* 9 a) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* (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))) |
(* 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)))))) |
(* -3 (* a c)) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) |
(* -8/3 (/ (pow b 3) (* a (pow c 2)))) |
(/ (+ (* -8/3 (/ (pow b 3) (pow c 2))) (* 32/9 (/ (pow b 5) (* a (pow c 3))))) a) |
(/ (- (+ (* -128/27 (/ (pow b 7) (* (pow a 2) (pow c 4)))) (* -8/3 (/ (pow b 3) (pow c 2)))) (* -32/9 (/ (pow b 5) (* a (pow c 3))))) a) |
(/ (- (+ (* -8/3 (/ (pow b 3) (pow c 2))) (* 512/81 (/ (pow b 9) (* (pow a 3) (pow c 5))))) (+ (* -32/9 (/ (pow b 5) (* a (pow c 3)))) (* 128/27 (/ (pow b 7) (* (pow a 2) (pow c 4)))))) a) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2))))) |
(* 1/2 (/ c b)) |
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) |
(* -1/2 (/ c (pow b 2))) |
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))) |
(* 3 (* (sqrt (* a c)) (sqrt -3))) |
(* a (+ (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 3 (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -3/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* a (+ (* -3/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 3/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 3 (* (sqrt (/ c a)) (sqrt -3))))))) |
(* a (+ (* -3 (/ b a)) (* 3 (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (- (+ (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 3 (* (sqrt (/ c a)) (sqrt -3)))) (* 3 (/ b a)))) |
(* a (- (+ (* -3/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 3 (* (sqrt (/ c a)) (sqrt -3))))) (* 3 (/ 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 (* (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)))))) |
(* -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)))))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(* -1 (/ (+ (* -32/9 (/ (pow b 5) (* a (pow c 3)))) (* 8/3 (/ (pow b 3) (pow c 2)))) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -128/27 (/ (pow b 7) (* a (pow c 4)))) (* -32/9 (/ (pow b 5) (pow c 3)))) a)) (* 8/3 (/ (pow b 3) (pow c 2)))) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -512/81 (/ (pow b 9) (* a (pow c 5)))) (* -128/27 (/ (pow b 7) (pow c 4)))) a)) (* -32/9 (/ (pow b 5) (pow c 3)))) a)) (* 8/3 (/ (pow b 3) (pow c 2)))) a)) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))) |
(* -3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -3/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* a (+ (* -3/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 3/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))) |
(* -1 (* a (+ (* 3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 3 (/ b a))))) |
(* -1 (* a (+ (* -1 (/ (- (* -3/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3 b)) a)) (* 3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -3/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 3 b)) a)) (* 3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(+ (* 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 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))) |
(+ (* 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))))))))) |
(* -2/3 b) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) |
(* (pow b 3) (- (* 32/9 (/ (pow b 2) (* (pow a 2) (pow c 3)))) (* 8/3 (/ 1 (* a (pow c 2)))))) |
(* (pow b 3) (- (* (pow b 2) (+ (* -128/27 (/ (pow b 2) (* (pow a 3) (pow c 4)))) (* 32/9 (/ 1 (* (pow a 2) (pow c 3)))))) (* 8/3 (/ 1 (* a (pow c 2)))))) |
(* (pow b 3) (- (* (pow b 2) (+ (* (pow b 2) (- (* 512/81 (/ (pow b 2) (* (pow a 4) (pow c 5)))) (* 128/27 (/ 1 (* (pow a 3) (pow c 4)))))) (* 32/9 (/ 1 (* (pow a 2) (pow c 3)))))) (* 8/3 (/ 1 (* a (pow c 2)))))) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2)) |
(/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b) |
(* -1 b) |
(/ (+ (* -1/2 c) (* 2/3 (/ (pow b 2) a))) (pow b 2)) |
(+ (* 3/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* 3 (* (sqrt (* a c)) (sqrt -3)))) |
(+ (* 3 (* (sqrt (* a c)) (sqrt -3))) (* (pow b 2) (+ (* -3/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(+ (* 3 (* (sqrt (* a c)) (sqrt -3))) (* (pow b 2) (+ (* 3/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -3/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 3/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
(+ (* -3 b) (* 3 (* (sqrt (* a c)) (sqrt -3)))) |
(+ (* 3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 3/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 3))) |
(+ (* 3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -3/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 3))) |
(/ c (pow b 2)) |
(/ (+ (* -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) |
(/ (+ (* -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) |
(* 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))))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* 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 (- (* 27/32 (/ (* (pow a 3) (pow c 2)) (pow b 6))) (+ (* -3/2 (/ a (pow b 2))) (+ (* 9/8 (/ (* (pow a 2) c) (pow b 4))) (* 2 (/ 1 c)))))) |
(* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))) |
(* b (+ 3 (* -9/2 (/ (* a c) (pow b 2))))) |
(* b (+ 3 (+ (* -9/2 (/ (* a c) (pow b 2))) (* -27/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 3 (+ (* -81/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -9/2 (/ (* a c) (pow b 2))) (* -27/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(/ (+ (* -9/2 (* a c)) (* -27/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -81/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -9/2 (* a c)) (* -27/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -81/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -9/2 (* a c)) (+ (* -27/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -3/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -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))))))) |
(* -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 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -1 (* b (+ (* -3/2 (/ a (pow b 2))) (* 2 (/ 1 c))))) |
(* -1 (* b (- (+ (* 9/8 (/ (* (pow a 2) c) (pow b 4))) (* 2 (/ 1 c))) (* 3/2 (/ a (pow b 2)))))) |
(* -1 (* b (- (+ (* -27/32 (/ (* (pow a 3) (pow c 2)) (pow b 6))) (* 2 (/ 1 c))) (+ (* -9/8 (/ (* (pow a 2) c) (pow b 4))) (* 3/2 (/ a (pow b 2))))))) |
(* -3 b) |
(* -1 (* b (+ 3 (* -9/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 3 (+ (* -9/2 (/ (* a c) (pow b 2))) (* -27/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 3 (+ (* -81/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -9/2 (/ (* a c) (pow b 2))) (* -27/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -6 b) |
(* -1 (* b (+ 6 (* -9/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 6 (+ (* -9/2 (/ (* a c) (pow b 2))) (* -27/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 6 (+ (* -81/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -9/2 (/ (* a c) (pow b 2))) (* -27/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* 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)))) |
(* 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)))))))) |
(+ 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)))))))) |
(/ (+ (* -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 (- (* c (- (* 27/32 (/ (* (pow a 3) c) (pow b 5))) (* 9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b))))) c) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(+ (* 3 b) (* c (+ (* -9/2 (/ a b)) (* -27/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 3 b) (* c (+ (* -9/2 (/ a b)) (* c (+ (* -81/16 (/ (* (pow a 3) c) (pow b 5))) (* -27/8 (/ (pow a 2) (pow b 3)))))))) |
(* c (+ (* -9/2 (/ a b)) (* -27/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -9/2 (/ a b)) (* c (+ (* -81/16 (/ (* (pow a 3) c) (pow b 5))) (* -27/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -9/2 (/ a b)) (* c (+ (* -27/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -81/16 (/ (pow a 3) (pow b 5))) (* -3/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* 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))))))) |
(* 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))) |
(* 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)))))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(/ (+ (* -8/3 (/ (pow b 3) a)) (* 32/9 (/ (pow b 5) (* (pow a 2) c)))) (pow c 2)) |
(/ (- (+ (* -128/27 (/ (pow b 7) (* (pow a 3) (pow c 2)))) (* -8/3 (/ (pow b 3) a))) (* -32/9 (/ (pow b 5) (* (pow a 2) c)))) (pow c 2)) |
(/ (- (+ (* -8/3 (/ (pow b 3) a)) (* 512/81 (/ (pow b 9) (* (pow a 4) (pow c 3))))) (+ (* -32/9 (/ (pow b 5) (* (pow a 2) c))) (* 128/27 (/ (pow b 7) (* (pow a 3) (pow c 2)))))) (pow c 2)) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))) |
(* c (- (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2))))) |
(* c (+ (* 3/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 3 (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -3/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 3/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 3 (* (sqrt (/ a c)) (sqrt -3)))))) |
(* c (+ (* -3/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 3/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 3/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 3 (* (sqrt (/ a c)) (sqrt -3))))))) |
(* c (+ (* -3 (/ b c)) (* 3 (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (- (+ (* 3/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 3 (* (sqrt (/ a c)) (sqrt -3)))) (* 3 (/ b c)))) |
(* c (- (+ (* -3/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 3/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 3 (* (sqrt (/ a c)) (sqrt -3))))) (* 3 (/ b c)))) |
(* -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 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(/ (+ (* -8/3 (/ (pow b 3) a)) (* -1 (/ (- (* 128/27 (/ (pow b 7) (* (pow a 3) c))) (* 32/9 (/ (pow b 5) (pow a 2)))) c))) (pow c 2)) |
(/ (+ (* -8/3 (/ (pow b 3) a)) (* -1 (/ (- (* -1 (/ (- (* 512/81 (/ (pow b 9) (* (pow a 4) c))) (* 128/27 (/ (pow b 7) (pow a 3)))) c)) (* 32/9 (/ (pow b 5) (pow a 2)))) c))) (pow c 2)) |
(* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))) |
(* -1 (* c (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c)))))) |
(* -1 (* c (+ (* 3/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -3/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 3/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* -3/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 3/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 3/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))) |
(* -1 (* c (+ (* 3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 3 (/ b c))))) |
(* -1 (* c (+ (* -1 (/ (- (* -3/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3 b)) c)) (* 3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -3/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 3 b)) c)) (* 3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
| Outputs |
|---|
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 (fma.f64 (*.f64 a #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(* -3/2 (/ (* a c) b)) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b) (/.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a b) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a b) |
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) |
(* -2/3 (/ b a)) |
(*.f64 (/.f64 b a) #s(literal -2/3 binary64)) |
(* -2 (/ b c)) |
(*.f64 (/.f64 b c) #s(literal -2 binary64)) |
(+ (* -2 (/ b c)) (* 3/2 (/ a b))) |
(fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -2 binary64))) |
(+ (* -2 (/ b c)) (* a (+ (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 3/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2 binary64))) |
(+ (* -2 (/ b c)) (* a (+ (* a (- (* 27/32 (/ (* a (pow c 2)) (pow b 5))) (* 9/8 (/ c (pow b 3))))) (* 3/2 (/ 1 b))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 5 binary64))) #s(literal 27/32 binary64) (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64))) a (/.f64 #s(literal 3/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2 binary64))) |
(* -1/2 c) |
(*.f64 #s(literal -1/2 binary64) c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) |
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a) |
(/ 2/3 a) |
(/.f64 #s(literal 2/3 binary64) a) |
(/ (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))) a) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 2/3 binary64)) a) |
(* 3 b) |
(*.f64 #s(literal 3 binary64) b) |
(+ (* -9/2 (/ (* a c) b)) (* 3 b)) |
(fma.f64 #s(literal -9/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal 3 binary64) b)) |
(+ (* 3 b) (* a (+ (* -9/2 (/ c b)) (* -27/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -27/8 binary64) a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -9/2 binary64) (/.f64 c b))) a (*.f64 #s(literal 3 binary64) b)) |
(+ (* 3 b) (* a (+ (* -9/2 (/ c b)) (* a (+ (* -81/16 (/ (* a (pow c 3)) (pow b 5))) (* -27/8 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -81/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -27/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -9/2 binary64) (/.f64 c b))) a (*.f64 #s(literal 3 binary64) b)) |
(* -9/2 (/ (* a c) b)) |
(*.f64 #s(literal -9/2 binary64) (*.f64 a (/.f64 c b))) |
(* a (+ (* -9/2 (/ c b)) (* -27/8 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -27/8 binary64) a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -9/2 binary64) (/.f64 c b))) a) |
(* a (+ (* -9/2 (/ c b)) (* a (+ (* -81/16 (/ (* a (pow c 3)) (pow b 5))) (* -27/8 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -81/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -27/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -9/2 binary64) (/.f64 c b))) a) |
(* a (+ (* -9/2 (/ c b)) (* a (+ (* -27/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -81/16 (/ (pow c 3) (pow b 5))) (* -3/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b) (/.f64 (*.f64 #s(literal -81/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -27/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -9/2 binary64) (/.f64 c b))) a) |
(* 9 a) |
(*.f64 #s(literal 9 binary64) a) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/6 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a)))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(fma.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/6 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a)) a) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a))) 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))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a)))) a) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)))) 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))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)))))) a) |
(* -3 (* a c)) |
(*.f64 (*.f64 a c) #s(literal -3 binary64)) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a) |
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(/.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) #s(literal -8/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 128/27 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 (pow.f64 b #s(literal 7 binary64)) c) (*.f64 (/.f64 (pow.f64 b #s(literal 5 binary64)) (*.f64 a a)) #s(literal -32/9 binary64))) (neg.f64 c))) (*.f64 c c)) |
(/ (+ (* -8/3 (/ (pow b 3) a)) (* -1 (/ (- (* -1 (/ (- (* 512/81 (/ (pow b 9) (* (pow a 4) c))) (* 128/27 (/ (pow b 7) (pow a 3)))) c)) (* 32/9 (/ (pow b 5) (pow a 2)))) c))) (pow c 2)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) #s(literal -8/3 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 512/81 binary64) c) (/.f64 (pow.f64 b #s(literal 9 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 (/.f64 (pow.f64 b #s(literal 7 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -128/27 binary64))) c) #s(literal -1 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 5 binary64)) (*.f64 a a)) #s(literal -32/9 binary64))) (neg.f64 c))) (*.f64 c c)) |
(* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal 2/3 binary64) c) (/.f64 b a) (/.f64 #s(literal -1/2 binary64) b))) |
(* -1 (* c (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c)))))) |
(*.f64 (neg.f64 c) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c)))) |
(* -1 (* c (+ (* 3/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))))) |
(* -1 (* c (+ (* -3/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 3/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64)))))) |
(* -1 (* c (+ (* -3/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 3/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 3/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 3/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))))))) |
(* -1 (* c (+ (* 3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 3 (/ b c))))) |
(*.f64 (*.f64 (neg.f64 c) #s(literal 3 binary64)) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b c))) |
(* -1 (* c (+ (* -1 (/ (- (* -3/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3 b)) c)) (* 3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (*.f64 #s(literal -3 binary64) b)) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -3/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 3 b)) c)) (* 3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))))) c) #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) b)) (neg.f64 c)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 314 |
| 0 | 96 | 301 |
| 1 | 399 | 293 |
| 2 | 2679 | 293 |
| 0 | 8622 | 288 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) (*.f64 a #s(literal 3 binary64))) |
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) |
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c #s(literal -3 binary64)) a))) |
(fma.f64 b b (*.f64 (*.f64 c #s(literal -3 binary64)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) |
(/.f64 (*.f64 #s(literal -2/3 binary64) b) a) |
(*.f64 #s(literal -2/3 binary64) b) |
(/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))))) |
(/.f64 b #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))) |
#s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) |
(*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
(neg.f64 b) |
(fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) a) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) a) (*.f64 #s(literal 3 binary64) a)) (*.f64 #s(literal 3 binary64) b)) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a))) |
(-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) a) (*.f64 #s(literal 3 binary64) a)) (*.f64 #s(literal 3 binary64) b)) |
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 c (*.f64 b b)) |
(/.f64 #s(literal 2/3 binary64) a) |
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 9 binary64) a) (-.f64 (*.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)) (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) a) #s(literal 2 binary64))) (*.f64 #s(literal 9 binary64) (*.f64 b b)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 3 binary64) b (*.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (/.f64 (*.f64 #s(literal 3 binary64) a) a))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 9 binary64) a) (fma.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) a) a) #s(literal 3 binary64)) #s(literal 27 binary64) (*.f64 #s(literal -27 binary64) (pow.f64 b #s(literal 3 binary64))))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) b) (fma.f64 #s(literal 3 binary64) b (*.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (/.f64 (*.f64 #s(literal 3 binary64) a) a))) (*.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)) (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) a) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)) (*.f64 b b))) #s(literal -1 binary64)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (pow.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 b b (+.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (pow.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b) (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/9 binary64) (pow.f64 (/.f64 a (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (/.f64 (*.f64 #s(literal 3 binary64) a) a) (*.f64 #s(literal -3 binary64) b))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (/.f64 (*.f64 #s(literal 3 binary64) a) a) (*.f64 #s(literal -3 binary64) b))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b) a)) |
(*.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b) #s(literal 1/3 binary64)) (pow.f64 a #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (/.f64 (*.f64 #s(literal 3 binary64) a) a) (*.f64 #s(literal -3 binary64) b)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/3 binary64) a)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b) a) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1/9 binary64) a) (pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (/.f64 (*.f64 #s(literal 3 binary64) a) a) (*.f64 #s(literal -3 binary64) b)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/9 binary64) a) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (/.f64 (*.f64 #s(literal 3 binary64) a) a) (*.f64 #s(literal -3 binary64) b))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (/.f64 (*.f64 #s(literal 3 binary64) a) a) (*.f64 #s(literal -3 binary64) b)) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b)) |
(*.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b) #s(literal 1/3 binary64))) |
(*.f64 (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (/.f64 (*.f64 #s(literal 3 binary64) a) a) (*.f64 #s(literal -3 binary64) b))) (pow.f64 (*.f64 #s(literal -9 binary64) a) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b)) (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (/.f64 (*.f64 #s(literal 3 binary64) a) a) (*.f64 #s(literal -3 binary64) b)) (/.f64 #s(literal 1/9 binary64) a)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b) (/.f64 #s(literal 1/3 binary64) a)) |
(pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (*.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (/.f64 (*.f64 #s(literal 3 binary64) a) a) (*.f64 #s(literal -3 binary64) b)) #s(literal 1/3 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b) #s(literal 1/3 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b) a)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (/.f64 (*.f64 #s(literal 3 binary64) a) a)) #s(literal 9 binary64)) a) (*.f64 a (/.f64 (*.f64 #s(literal 3 binary64) b) #s(literal 9 binary64)))) (*.f64 a a)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (/.f64 (*.f64 #s(literal 3 binary64) a) a)) #s(literal 9 binary64)) #s(literal 3 binary64)) (*.f64 a (/.f64 (*.f64 #s(literal 3 binary64) b) (*.f64 #s(literal 3 binary64) a)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (/.f64 (*.f64 #s(literal 3 binary64) a) a)) #s(literal 9 binary64)) (*.f64 #s(literal 3 binary64) a)) (*.f64 a (/.f64 (*.f64 #s(literal 3 binary64) b) #s(literal 3 binary64)))) (*.f64 a (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (/.f64 (*.f64 #s(literal 3 binary64) a) a)) #s(literal 9 binary64)) (*.f64 #s(literal -9 binary64) a)) (*.f64 a (*.f64 #s(literal -3 binary64) b))) (*.f64 a (*.f64 #s(literal -9 binary64) a))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (/.f64 (*.f64 #s(literal 3 binary64) a) a)) #s(literal 9 binary64)) (*.f64 #s(literal 9 binary64) a)) (*.f64 a (*.f64 #s(literal 3 binary64) b))) (*.f64 a (*.f64 #s(literal 9 binary64) a))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (/.f64 (*.f64 #s(literal 3 binary64) a) a)) #s(literal 9 binary64)) (/.f64 (*.f64 #s(literal 9 binary64) a) (*.f64 #s(literal 3 binary64) b))) (*.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 (*.f64 #s(literal 9 binary64) a) (*.f64 #s(literal 3 binary64) b)))) |
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (/.f64 (*.f64 #s(literal 3 binary64) a) a)) (*.f64 #s(literal 3 binary64) a)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 #s(literal 3 binary64) b) (*.f64 #s(literal 3 binary64) a)))) #s(literal 9 binary64)) |
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(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 (neg.f64 b) b)) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) c) a) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 (neg.f64 b) b)))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) c) a) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 (neg.f64 b) b)) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 (neg.f64 b) b)) (-.f64 (pow.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 (neg.f64 b) b)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))) (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) c) a) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))))) |
(sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) |
(fabs.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) |
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))))) |
Compiled 39 287 to 4 300 computations (89.1% saved)
41 alts after pruning (36 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 957 | 14 | 971 |
| Fresh | 10 | 22 | 32 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 970 | 41 | 1 011 |
| Status | Accuracy | Program |
|---|---|---|
| 10.2% | (/.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 b) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) #s(literal 2 binary64)))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) | |
| 15.8% | (/.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (+.f64 #s(literal 0 binary64) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) c) a) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (neg.f64 b) b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) c) a) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (+.f64 #s(literal 0 binary64) b))) (*.f64 a #s(literal 3 binary64))) | |
| 10.7% | (/.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (/.f64 #s(literal -1 binary64) b) (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) #s(literal 2 binary64)))))) (*.f64 (/.f64 #s(literal -1 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) | |
| 31.5% | (/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) a) #s(literal 3 binary64)) | |
| 49.5% | (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) a) (*.f64 #s(literal 3 binary64) a)) (*.f64 #s(literal 3 binary64) b)) (*.f64 a #s(literal 9 binary64))) | |
| ✓ | 50.2% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
| 31.5% | (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) (*.f64 #s(literal 3 binary64) a)) | |
| 31.5% | (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* a -3) c) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 c a)))) b) (*.f64 a #s(literal 3 binary64))) | |
| 31.5% | (/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) #s(literal 1/3 binary64)) a) | |
| 28.3% | (/.f64 #s(approx (- (* (/ (sqrt (+ (* (* c a) -3) (* b b))) a) (* 3 a)) (* 3 b)) (*.f64 #s(literal -9/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a))) | |
| 28.8% | (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 (*.f64 c a) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)))))) | |
| 28.3% | (/.f64 #s(approx (- (sqrt (+ (* (* a -3) c) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 a #s(literal 3 binary64))) | |
| 24.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 50.1% | (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) a) #s(literal 1/3 binary64)) | |
| 31.5% | (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) a) #s(literal 1/3 binary64)) | |
| 9.2% | (*.f64 (/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b) a) #s(literal 1/3 binary64)) | |
| 31.5% | (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) a)) (fma.f64 #s(literal -1 binary64) b (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)))))) | |
| 22.4% | #s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) (fma.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| 8.3% | #s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (*.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64))))) | |
| 34.3% | #s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) | |
| 34.3% | #s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a))) | |
| 30.6% | #s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)) c))) | |
| 8.2% | #s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))) | |
| ✓ | 34.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) |
| 34.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (neg.f64 b) (*.f64 a #s(literal 3/2 binary64)))) | |
| 32.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 c a) b) b) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b)) | |
| ✓ | 33.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
| 34.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) #s(literal -2/3 binary64)))) | |
| ✓ | 33.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))))) |
| 34.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -2/3 binary64) b)))) | |
| 32.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) #s(approx (/ b (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c))) (fma.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 3/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2 binary64)))))) | |
| 33.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) #s(approx (/ b (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c))) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -2 binary64)))))) | |
| 34.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) | |
| 34.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (neg.f64 b) #s(literal -2/3 binary64)))) | |
| 33.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))) (/.f64 #s(literal -1 binary64) b))) | |
| 34.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal -2/3 binary64) a))) | |
| ✓ | 34.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
| 34.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) a)))) | |
| 34.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 b)))) | |
| 30.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) b)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) a)))) | |
| 18.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 a b) #s(literal -2/3 binary64))) #s(literal -1 binary64)))) |
Compiled 3 942 to 1 390 computations (64.7% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#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 b (/.f64 #s(literal -2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (neg.f64 b) (*.f64 a #s(literal 3/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) (*.f64 b #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (- (sqrt (+ (* (* a -3) c) (* b b))) b) (*.f64 #s(literal -2 binary64) b)) (*.f64 a #s(literal 3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))) (/.f64 #s(literal -1 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) a)) (neg.f64 b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (neg.f64 b) #s(literal -2/3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 #s(literal -2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -2/3 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))))) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (*.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) #s(literal -2/3 binary64)))) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (- (sqrt (+ (* (* a -3) c) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 a #s(literal 3 binary64))) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a))) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 c a)))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* a -3) c) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 c a)))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
(*.f64 (/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b) a) #s(literal 1/3 binary64)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (- (* (/ (sqrt (+ (* (* c a) -3) (* b b))) a) (* 3 a)) (* 3 b)) (*.f64 #s(literal -9/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) #s(approx (/ b (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c))) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -2 binary64)))))) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)) c))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 c a) b) b) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b)) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) a)) (fma.f64 #s(literal -1 binary64) b (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)))))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) #s(literal -3 binary64))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(/.f64 #s(approx (- (sqrt (+ (* (* a -3) c) (* b b))) b) (*.f64 (neg.f64 b) (fma.f64 (/.f64 #s(literal -3/2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)))) (*.f64 a #s(literal 3 binary64))) |
(/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 (*.f64 c a) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)))))) |
(/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) a) (*.f64 #s(literal 3 binary64) a)) (*.f64 #s(literal 3 binary64) b)) (*.f64 a #s(literal 9 binary64))) |
(/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal -3 binary64) a))) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) a) (*.f64 #s(literal 3 binary64) a)) (*.f64 #s(literal 3 binary64) b)) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) a) (*.f64 #s(literal 3 binary64) a)) (*.f64 #s(literal 3 binary64) b)) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 a (*.f64 (pow.f64 b #s(literal -1 binary64)) (*.f64 #s(literal -3/2 binary64) c)) b))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) #s(approx (/ b (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c))) (fma.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 3/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2 binary64)))))) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64)) #s(literal 9/4 binary64) (*.f64 (neg.f64 b) b)) (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c (neg.f64 b))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c (neg.f64 b)) (fma.f64 (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64)) #s(literal 9/4 binary64) (*.f64 (neg.f64 b) b)))))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 a b) #s(literal -2/3 binary64))) #s(literal -1 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) b)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 (/.f64 a b) b) (/.f64 #s(literal -3/8 binary64) (pow.f64 c #s(literal -2 binary64))) (*.f64 #s(literal -1/2 binary64) c)) #s(literal -1 binary64))) b)) |
(/.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 b) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) #s(literal 2 binary64)))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) #s(literal 2 binary64)))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (neg.f64 a)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 #s(literal 0 binary64) (neg.f64 a)) (fma.f64 (/.f64 b (neg.f64 a)) (/.f64 b (neg.f64 a)) (*.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 b (neg.f64 a)))))))) |
(/.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (/.f64 #s(literal -1 binary64) b) (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) #s(literal 2 binary64)))))) (*.f64 (/.f64 #s(literal -1 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (*.f64 a #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) (fma.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) #s(literal 2 binary64)))))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (+.f64 #s(literal 0 binary64) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) c) a) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (neg.f64 b) b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) c) a) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (+.f64 #s(literal 0 binary64) b))) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (+.f64 #s(literal 0 binary64) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 c #s(literal 3 binary64)) a) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 c #s(literal 3 binary64)) a) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (+.f64 #s(literal 0 binary64) b))) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (/.f64 (fma.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (+.f64 #s(literal 0 binary64) b))) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
5 calls:
| 75.0ms | b |
| 45.0ms | a |
| 42.0ms | c |
| 25.0ms | (*.f64 #s(literal 3 binary64) a) |
| 24.0ms | (/.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 |
|---|---|---|
| 50.2% | 1 | a |
| 86.0% | 3 | b |
| 50.2% | 1 | c |
| 76.7% | 5 | (/.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)) |
| 50.2% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 23 to 26 computations (-13% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#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 b (/.f64 #s(literal -2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (neg.f64 b) (*.f64 a #s(literal 3/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) (*.f64 b #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (- (sqrt (+ (* (* a -3) c) (* b b))) b) (*.f64 #s(literal -2 binary64) b)) (*.f64 a #s(literal 3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))) (/.f64 #s(literal -1 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) a)) (neg.f64 b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (neg.f64 b) #s(literal -2/3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 #s(literal -2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -2/3 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))))) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (*.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) #s(literal -2/3 binary64)))) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (- (sqrt (+ (* (* a -3) c) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 a #s(literal 3 binary64))) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a))) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 c a)))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* a -3) c) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 c a)))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
(*.f64 (/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b) a) #s(literal 1/3 binary64)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (- (* (/ (sqrt (+ (* (* c a) -3) (* b b))) a) (* 3 a)) (* 3 b)) (*.f64 #s(literal -9/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) #s(approx (/ b (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c))) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -2 binary64)))))) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)) c))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 c a) b) b) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b)) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) a)) (fma.f64 #s(literal -1 binary64) b (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)))))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) #s(literal -3 binary64))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(/.f64 #s(approx (- (sqrt (+ (* (* a -3) c) (* b b))) b) (*.f64 (neg.f64 b) (fma.f64 (/.f64 #s(literal -3/2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)))) (*.f64 a #s(literal 3 binary64))) |
(/.f64 #s(approx (- (* b b) (- (* b b) (* (* 3 a) c))) (*.f64 (*.f64 c a) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)))))) |
(/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) a) (*.f64 #s(literal 3 binary64) a)) (*.f64 #s(literal 3 binary64) b)) (*.f64 a #s(literal 9 binary64))) |
(/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal -3 binary64) a))) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) a) (*.f64 #s(literal 3 binary64) a)) (*.f64 #s(literal 3 binary64) b)) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) a) (*.f64 #s(literal 3 binary64) a)) (*.f64 #s(literal 3 binary64) b)) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 a (*.f64 (pow.f64 b #s(literal -1 binary64)) (*.f64 #s(literal -3/2 binary64) c)) b))) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
1 calls:
| 18.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.0% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#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 b (/.f64 #s(literal -2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (neg.f64 b) (*.f64 a #s(literal 3/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) (*.f64 b #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (- (sqrt (+ (* (* a -3) c) (* b b))) b) (*.f64 #s(literal -2 binary64) b)) (*.f64 a #s(literal 3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))) (/.f64 #s(literal -1 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) a)) (neg.f64 b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (neg.f64 b) #s(literal -2/3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 #s(literal -2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -2/3 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))))) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (*.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) #s(literal -2/3 binary64)))) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (- (sqrt (+ (* (* a -3) c) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 a #s(literal 3 binary64))) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a))) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 c a)))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* a -3) c) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 c a)))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
(*.f64 (/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b) a) #s(literal 1/3 binary64)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (- (* (/ (sqrt (+ (* (* c a) -3) (* b b))) a) (* 3 a)) (* 3 b)) (*.f64 #s(literal -9/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) #s(approx (/ b (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c))) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -2 binary64)))))) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)) c))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) (*.f64 a #s(literal 3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
1 calls:
| 13.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.9% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#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 b (/.f64 #s(literal -2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (neg.f64 b) (*.f64 a #s(literal 3/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) (*.f64 b #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (- (sqrt (+ (* (* a -3) c) (* b b))) b) (*.f64 #s(literal -2 binary64) b)) (*.f64 a #s(literal 3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))) (/.f64 #s(literal -1 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) a)) (neg.f64 b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (neg.f64 b) #s(literal -2/3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 #s(literal -2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -2/3 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))))) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (*.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) #s(literal -2/3 binary64)))) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (- (sqrt (+ (* (* a -3) c) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 a #s(literal 3 binary64))) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a))) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 c a)))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* a -3) c) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 c a)))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
(*.f64 (/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b) a) #s(literal 1/3 binary64)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (- (* (/ (sqrt (+ (* (* c a) -3) (* b b))) a) (* 3 a)) (* 3 b)) (*.f64 #s(literal -9/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) #s(approx (/ b (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c))) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -2 binary64)))))) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)) c))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) a) #s(literal 1/3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
1 calls:
| 14.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.9% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#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 b (/.f64 #s(literal -2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (neg.f64 b) (*.f64 a #s(literal 3/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) (*.f64 b #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (- (sqrt (+ (* (* a -3) c) (* b b))) b) (*.f64 #s(literal -2 binary64) b)) (*.f64 a #s(literal 3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))) (/.f64 #s(literal -1 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) a)) (neg.f64 b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (neg.f64 b) #s(literal -2/3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 #s(literal -2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -2/3 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))))) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (*.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) #s(literal -2/3 binary64)))) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (- (sqrt (+ (* (* a -3) c) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 a #s(literal 3 binary64))) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a))) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 c a)))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* a -3) c) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 c a)))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
(*.f64 (/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b) a) #s(literal 1/3 binary64)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (- (* (/ (sqrt (+ (* (* c a) -3) (* b b))) a) (* 3 a)) (* 3 b)) (*.f64 #s(literal -9/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) #s(approx (/ b (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c))) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -2 binary64)))))) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)) c))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
1 calls:
| 12.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.9% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#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 b (/.f64 #s(literal -2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (neg.f64 b) (*.f64 a #s(literal 3/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) (*.f64 b #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (- (sqrt (+ (* (* a -3) c) (* b b))) b) (*.f64 #s(literal -2 binary64) b)) (*.f64 a #s(literal 3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))) (/.f64 #s(literal -1 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) a)) (neg.f64 b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (neg.f64 b) #s(literal -2/3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 #s(literal -2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -2/3 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))))) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (*.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) #s(literal -2/3 binary64)))) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (- (sqrt (+ (* (* a -3) c) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 a #s(literal 3 binary64))) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a))) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 c a)))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* a -3) c) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 c a)))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
(*.f64 (/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b) a) #s(literal 1/3 binary64)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (- (* (/ (sqrt (+ (* (* c a) -3) (* b b))) a) (* 3 a)) (* 3 b)) (*.f64 #s(literal -9/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) #s(approx (/ b (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c))) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -2 binary64)))))) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)) c))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
1 calls:
| 13.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.9% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#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 b (/.f64 #s(literal -2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (neg.f64 b) (*.f64 a #s(literal 3/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) (*.f64 b #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (- (sqrt (+ (* (* a -3) c) (* b b))) b) (*.f64 #s(literal -2 binary64) b)) (*.f64 a #s(literal 3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))) (/.f64 #s(literal -1 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) a)) (neg.f64 b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (neg.f64 b) #s(literal -2/3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 #s(literal -2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -2/3 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))))) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (*.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) #s(literal -2/3 binary64)))) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (- (sqrt (+ (* (* a -3) c) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 a #s(literal 3 binary64))) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a))) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 c a)))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* a -3) c) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 c a)))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
(*.f64 (/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c) b)) b) a) #s(literal 1/3 binary64)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (- (* (/ (sqrt (+ (* (* c a) -3) (* b b))) a) (* 3 a)) (* 3 b)) (*.f64 #s(literal -9/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) #s(approx (/ b (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c))) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -2 binary64)))))) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)) c))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (neg.f64 b) (*.f64 a #s(literal 3/2 binary64)))) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 c a)))) b) (*.f64 a #s(literal 3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
1 calls:
| 11.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.1% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#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 b (/.f64 #s(literal -2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (neg.f64 b) (*.f64 a #s(literal 3/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) (*.f64 b #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (- (sqrt (+ (* (* a -3) c) (* b b))) b) (*.f64 #s(literal -2 binary64) b)) (*.f64 a #s(literal 3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))) (/.f64 #s(literal -1 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) a)) (neg.f64 b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (neg.f64 b) #s(literal -2/3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 #s(literal -2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -2/3 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))))) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (*.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) #s(literal -2/3 binary64)))) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (- (sqrt (+ (* (* a -3) c) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 a #s(literal 3 binary64))) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a))) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) #s(literal 1/3 binary64)) a) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (neg.f64 b) (*.f64 a #s(literal 3/2 binary64)))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) #s(literal 1/3 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
1 calls:
| 8.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.1% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#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 b (/.f64 #s(literal -2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (neg.f64 b) (*.f64 a #s(literal 3/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) (*.f64 b #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (- (sqrt (+ (* (* a -3) c) (* b b))) b) (*.f64 #s(literal -2 binary64) b)) (*.f64 a #s(literal 3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))) (/.f64 #s(literal -1 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) a)) (neg.f64 b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (neg.f64 b) #s(literal -2/3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 #s(literal -2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -2/3 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))))) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (*.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) #s(literal -2/3 binary64)))) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (- (sqrt (+ (* (* a -3) c) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 a #s(literal 3 binary64))) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a))) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) a) #s(literal 1/3 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (neg.f64 b) (*.f64 a #s(literal 3/2 binary64)))) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) a) #s(literal 1/3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
1 calls:
| 8.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.0% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#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 b (/.f64 #s(literal -2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (neg.f64 b) (*.f64 a #s(literal 3/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) (*.f64 b #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (- (sqrt (+ (* (* a -3) c) (* b b))) b) (*.f64 #s(literal -2 binary64) b)) (*.f64 a #s(literal 3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))) (/.f64 #s(literal -1 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) a)) (neg.f64 b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (neg.f64 b) #s(literal -2/3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 #s(literal -2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -2/3 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))))) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (*.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) #s(literal -2/3 binary64)))) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (- (sqrt (+ (* (* a -3) c) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 a #s(literal 3 binary64))) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a))) |
| Outputs |
|---|
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
2 calls:
| 8.0ms | b |
| 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 |
|---|---|---|
| 51.6% | 3 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 65.8% | 2 | b |
Compiled 18 to 15 computations (16.7% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#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 b (/.f64 #s(literal -2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (neg.f64 b) (*.f64 a #s(literal 3/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) (*.f64 b #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (- (sqrt (+ (* (* a -3) c) (* b b))) b) (*.f64 #s(literal -2 binary64) b)) (*.f64 a #s(literal 3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))) (/.f64 #s(literal -1 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) a)) (neg.f64 b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (neg.f64 b) #s(literal -2/3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 #s(literal -2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -2/3 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))))) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (*.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) #s(literal -2/3 binary64)))) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (- (sqrt (+ (* (* a -3) c) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 a #s(literal 3 binary64))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (neg.f64 b) (*.f64 a #s(literal 3/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
1 calls:
| 30.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.8% | 2 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#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 b (/.f64 #s(literal -2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) |
#s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
1 calls:
| 3.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.8% | 2 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#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 b (/.f64 #s(literal -2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
1 calls:
| 2.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.7% | 2 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#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 b (/.f64 #s(literal -2/3 binary64) a))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
1 calls:
| 2.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.7% | 2 | b |
Compiled 1 to 3 computations (-200% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
5 calls:
| 1.0ms | (*.f64 #s(literal 3 binary64) a) |
| 1.0ms | b |
| 1.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 1.0ms | c |
| 1.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 34.5% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 34.5% | 1 | a |
| 34.5% | 1 | c |
| 34.5% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 34.5% | 1 | b |
Compiled 23 to 26 computations (-13% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 40.0ms | 8.824847314311826e-70 | 2.853410629722474e-66 |
| 16.0ms | -8.491795890445714e+87 | -2.852504346524325e+85 |
| 21.0ms | 17× | 2 | valid |
| 15.0ms | 202× | 0 | valid |
| 5.0ms | 37× | 1 | valid |
| 2.0ms | 27× | 0 | invalid |
Compiled 868 to 658 computations (24.2% saved)
ival-mult: 6.0ms (34.9% of total)ival-sqrt: 3.0ms (17.5% of total)ival-div: 2.0ms (11.6% of total)ival-sub: 2.0ms (11.6% of total)ival-add: 2.0ms (11.6% of total)adjust: 1.0ms (5.8% of total)ival-neg: 1.0ms (5.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 1.4196905631340384e-71 | 8.824847314311826e-70 |
| 1.0ms | -8.491795890445714e+87 | -2.852504346524325e+85 |
| 5.0ms | 13× | 2 | valid |
| 5.0ms | 65× | 0 | valid |
| 5.0ms | 34× | 1 | valid |
| 3.0ms | 40× | 0 | invalid |
Compiled 870 to 650 computations (25.3% saved)
ival-mult: 6.0ms (46.4% of total)ival-sqrt: 2.0ms (15.5% of total)adjust: 1.0ms (7.7% of total)ival-div: 1.0ms (7.7% of total)ival-sub: 1.0ms (7.7% of total)ival-add: 1.0ms (7.7% of total)ival-neg: 1.0ms (7.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.4196905631340384e-71 | 8.824847314311826e-70 |
| 1.0ms | -8.491795890445714e+87 | -2.852504346524325e+85 |
Compiled 870 to 650 computations (25.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.4196905631340384e-71 | 8.824847314311826e-70 |
| 4.0ms | -3.8793082943533823e+99 | -3.594212763754707e+99 |
| 2.0ms | 32× | 0 | valid |
| 0.0ms | 1× | 0 | invalid |
Compiled 474 to 358 computations (24.5% saved)
ival-mult: 1.0ms (60.4% of total)ival-div: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.4196905631340384e-71 | 8.824847314311826e-70 |
| 0.0ms | -3.8793082943533823e+99 | -3.594212763754707e+99 |
Compiled 474 to 358 computations (24.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.4196905631340384e-71 | 8.824847314311826e-70 |
| 0.0ms | -3.8793082943533823e+99 | -3.594212763754707e+99 |
Compiled 474 to 358 computations (24.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.4196905631340384e-71 | 8.824847314311826e-70 |
| 52.0ms | -3.2428654849104555e-43 | -2.2907422479358995e-58 |
| 43.0ms | 160× | 0 | valid |
| 2.0ms | 24× | 0 | invalid |
Compiled 907 to 693 computations (23.6% saved)
ival-mult: 34.0ms (86.2% of total)ival-div: 1.0ms (2.5% of total)ival-add: 1.0ms (2.5% of total)ival-sub: 1.0ms (2.5% of total)ival-sqrt: 1.0ms (2.5% of total)ival-neg: 1.0ms (2.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.4196905631340384e-71 | 8.824847314311826e-70 |
| 1.0ms | -3.2428654849104555e-43 | -2.2907422479358995e-58 |
Compiled 907 to 693 computations (23.6% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.4196905631340384e-71 | 8.824847314311826e-70 |
| 1.0ms | -3.2428654849104555e-43 | -2.2907422479358995e-58 |
Compiled 907 to 693 computations (23.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 39.0ms | -1.3921819226083499e-298 | 2.0927723612700627e-305 |
| 19.0ms | 51× | 0 | invalid |
| 12.0ms | 160× | 0 | valid |
Compiled 850 to 598 computations (29.6% saved)
ival-add: 16.0ms (64.4% of total)ival-mult: 4.0ms (16.1% of total)ival-div: 1.0ms (4% of total)ival-sub: 1.0ms (4% of total)ival-sqrt: 1.0ms (4% of total)ival-neg: 1.0ms (4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 1.2046953743180723e-272 | 1.5916537546529473e-272 |
| 4.0ms | 48× | 0 | valid |
| 1.0ms | 18× | 0 | invalid |
Compiled 209 to 153 computations (26.8% saved)
ival-mult: 1.0ms (31.4% of total)ival-div: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.2046953743180723e-272 | 1.5916537546529473e-272 |
Compiled 206 to 150 computations (27.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.2046953743180723e-272 | 1.5916537546529473e-272 |
Compiled 206 to 150 computations (27.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.2046953743180723e-272 | 1.5916537546529473e-272 |
Compiled 158 to 120 computations (24.1% saved)
| 1× | egg-herbie |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 150 | 1204 |
| 1 | 221 | 1179 |
| 2 | 370 | 1155 |
| 3 | 807 | 1155 |
| 4 | 1549 | 1155 |
| 5 | 3085 | 1147 |
| 6 | 6084 | 1147 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 b #s(literal -480000000000000007022733710723939054865620634175034428453733177841502254840551143636992 binary64)) #s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a))) (if (<=.f64 b #s(literal 2845706385096283/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)))) |
(if (<=.f64 b #s(literal -480000000000000007022733710723939054865620634175034428453733177841502254840551143636992 binary64)) #s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a))) (if (<=.f64 b #s(literal 3232601036663613/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)))) |
(if (<=.f64 b #s(literal -480000000000000007022733710723939054865620634175034428453733177841502254840551143636992 binary64)) #s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a))) (if (<=.f64 b #s(literal 3232601036663613/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) (*.f64 a #s(literal 3 binary64))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)))) |
(if (<=.f64 b #s(literal -3700000000000000097694074950626278191682737305130132247067227977409490770739289187279069598871191552 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) (if (<=.f64 b #s(literal 3232601036663613/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632 binary64)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) a) #s(literal 1/3 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)))) |
(if (<=.f64 b #s(literal -3700000000000000097694074950626278191682737305130132247067227977409490770739289187279069598871191552 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) (if (<=.f64 b #s(literal 3232601036663613/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632 binary64)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)))) |
(if (<=.f64 b #s(literal -3700000000000000097694074950626278191682737305130132247067227977409490770739289187279069598871191552 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) (if (<=.f64 b #s(literal 3232601036663613/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)))) |
(if (<=.f64 b #s(literal -7729955908405431/6901746346790563787434755862277025452451108972170386555162524223799296 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (neg.f64 b) (*.f64 a #s(literal 3/2 binary64)))) (if (<=.f64 b #s(literal 3232601036663613/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 c a)))) b) (*.f64 a #s(literal 3 binary64))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)))) |
(if (<=.f64 b #s(literal -7729955908405431/6901746346790563787434755862277025452451108972170386555162524223799296 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (neg.f64 b) (*.f64 a #s(literal 3/2 binary64)))) (if (<=.f64 b #s(literal 3232601036663613/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632 binary64)) (/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) #s(literal 1/3 binary64)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)))) |
(if (<=.f64 b #s(literal -7729955908405431/6901746346790563787434755862277025452451108972170386555162524223799296 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (neg.f64 b) (*.f64 a #s(literal 3/2 binary64)))) (if (<=.f64 b #s(literal 3232601036663613/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632 binary64)) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) a) #s(literal 1/3 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)))) |
(if (<=.f64 b #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) #s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))) |
(if (<=.f64 b #s(literal 7430801933692499/609082125712499942522086399242199269429764178599687970429244153575809293172901631404100941617625641201581557264463041761466198116575193377911124206019540838720704856247279564366924353468128353022049974592451148679605349870337179684109147725966810350801733675194017346692614286874494631936 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (neg.f64 b) (*.f64 a #s(literal 3/2 binary64)))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))) |
(if (<=.f64 b #s(literal 7430801933692499/609082125712499942522086399242199269429764178599687970429244153575809293172901631404100941617625641201581557264463041761466198116575193377911124206019540838720704856247279564366924353468128353022049974592451148679605349870337179684109147725966810350801733675194017346692614286874494631936 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))) |
(if (<=.f64 b #s(literal 7430801933692499/609082125712499942522086399242199269429764178599687970429244153575809293172901631404100941617625641201581557264463041761466198116575193377911124206019540838720704856247279564366924353468128353022049974592451148679605349870337179684109147725966810350801733675194017346692614286874494631936 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))) |
(if (<=.f64 b #s(literal 7430801933692499/609082125712499942522086399242199269429764178599687970429244153575809293172901631404100941617625641201581557264463041761466198116575193377911124206019540838720704856247279564366924353468128353022049974592451148679605349870337179684109147725966810350801733675194017346692614286874494631936 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) #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 #s(literal -2/3 binary64) (/.f64 b a))) |
| Outputs |
|---|
(if (<=.f64 b #s(literal -480000000000000007022733710723939054865620634175034428453733177841502254840551143636992 binary64)) #s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a))) (if (<=.f64 b #s(literal 2845706385096283/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)))) |
(if (<=.f64 b #s(literal -480000000000000007022733710723939054865620634175034428453733177841502254840551143636992 binary64)) #s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a))) (if (<=.f64 b #s(literal 3232601036663613/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)))) |
(if (<=.f64 b #s(literal -480000000000000007022733710723939054865620634175034428453733177841502254840551143636992 binary64)) #s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a))) (if (<=.f64 b #s(literal 3232601036663613/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) (*.f64 a #s(literal 3 binary64))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)))) |
(if (<=.f64 b #s(literal -3700000000000000097694074950626278191682737305130132247067227977409490770739289187279069598871191552 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) (if (<=.f64 b #s(literal 3232601036663613/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632 binary64)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) a) #s(literal 1/3 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)))) |
(if (<=.f64 b #s(literal -3700000000000000097694074950626278191682737305130132247067227977409490770739289187279069598871191552 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) (if (<=.f64 b #s(literal 3232601036663613/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632 binary64)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)))) |
(if (<=.f64 b #s(literal -3700000000000000097694074950626278191682737305130132247067227977409490770739289187279069598871191552 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) (if (<=.f64 b #s(literal 3232601036663613/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)))) |
(if (<=.f64 b #s(literal -7729955908405431/6901746346790563787434755862277025452451108972170386555162524223799296 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (neg.f64 b) (*.f64 a #s(literal 3/2 binary64)))) (if (<=.f64 b #s(literal 3232601036663613/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 c a)))) b) (*.f64 a #s(literal 3 binary64))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)))) |
(if (<=.f64 b #s(literal -7729955908405431/6901746346790563787434755862277025452451108972170386555162524223799296 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (neg.f64 b) (*.f64 a #s(literal 3/2 binary64)))) (if (<=.f64 b #s(literal 3232601036663613/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632 binary64)) (/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) #s(literal 1/3 binary64)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)))) |
(if (<=.f64 b #s(literal -7729955908405431/6901746346790563787434755862277025452451108972170386555162524223799296 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (neg.f64 b) (*.f64 a #s(literal 3/2 binary64)))) (if (<=.f64 b #s(literal 3232601036663613/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632 binary64)) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) a) #s(literal 1/3 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)))) |
(if (<=.f64 b #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) #s(approx (/ (- (sqrt (+ (* (* a -3) c) (* b b))) b) (* a 3)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))) |
(if (<=.f64 b #s(literal 7430801933692499/609082125712499942522086399242199269429764178599687970429244153575809293172901631404100941617625641201581557264463041761466198116575193377911124206019540838720704856247279564366924353468128353022049974592451148679605349870337179684109147725966810350801733675194017346692614286874494631936 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (neg.f64 b) (*.f64 a #s(literal 3/2 binary64)))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))) |
(if (<=.f64 b #s(literal 7430801933692499/609082125712499942522086399242199269429764178599687970429244153575809293172901631404100941617625641201581557264463041761466198116575193377911124206019540838720704856247279564366924353468128353022049974592451148679605349870337179684109147725966810350801733675194017346692614286874494631936 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))) |
(if (<=.f64 b #s(literal 7430801933692499/609082125712499942522086399242199269429764178599687970429244153575809293172901631404100941617625641201581557264463041761466198116575193377911124206019540838720704856247279564366924353468128353022049974592451148679605349870337179684109147725966810350801733675194017346692614286874494631936 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))) |
(if (<=.f64 b #s(literal 7430801933692499/609082125712499942522086399242199269429764178599687970429244153575809293172901631404100941617625641201581557264463041761466198116575193377911124206019540838720704856247279564366924353468128353022049974592451148679605349870337179684109147725966810350801733675194017346692614286874494631936 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) #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 #s(literal -2/3 binary64) (/.f64 b a))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1048 | 5477 |
| 1 | 3424 | 5289 |
| 0 | 9139 | 5054 |
| 0 | 48 | 268 |
| 0 | 80 | 266 |
| 1 | 291 | 256 |
| 2 | 2039 | 256 |
| 0 | 8485 | 256 |
| 0 | 617 | 3311 |
| 1 | 1942 | 3288 |
| 2 | 6588 | 3246 |
| 0 | 8050 | 3083 |
| 0 | 12 | 51 |
| 0 | 20 | 51 |
| 1 | 71 | 49 |
| 2 | 525 | 48 |
| 3 | 6871 | 48 |
| 0 | 8160 | 44 |
| 0 | 560 | 3039 |
| 1 | 1767 | 3016 |
| 2 | 6275 | 2974 |
| 0 | 8498 | 2826 |
| 0 | 64 | 314 |
| 0 | 96 | 301 |
| 1 | 399 | 293 |
| 2 | 2679 | 293 |
| 0 | 8622 | 288 |
| 0 | 57 | 370 |
| 0 | 87 | 371 |
| 1 | 324 | 323 |
| 2 | 2453 | 323 |
| 0 | 9201 | 320 |
| 0 | 1049 | 6358 |
| 1 | 3422 | 6305 |
| 0 | 8967 | 6005 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | 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 2 419 to 1 055 computations (56.4% saved)
Compiled 2 442 to 332 computations (86.4% saved)
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