
Time bar (total: 7.7s)
| 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 16 computations (15.8% saved)
| 553.0ms | 5 497× | 0 | valid |
| 276.0ms | 1 378× | 1 | valid |
| 272.0ms | 1 180× | 2 | valid |
| 81.0ms | 952× | 0 | invalid |
| 67.0ms | 201× | 3 | valid |
ival-mult: 360.0ms (39.3% of total)adjust: 131.0ms (14.3% of total)ival-sqrt: 102.0ms (11.1% of total)ival-sub: 95.0ms (10.4% of total)ival-div: 95.0ms (10.4% of total)ival-add: 64.0ms (7% of total)ival-neg: 49.0ms (5.3% of total)exact: 10.0ms (1.1% of total)ival-true: 7.0ms (0.8% of total)ival-assert: 4.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 105 | 0 | - | 3 | (-8.689302885947967e-253 1.06089960129053e-156 -4.864007017066424e-263) | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) |
| 67 | 0 | - | 0 | - | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
| 11 | 0 | - | 0 | - | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| 7 | 0 | - | 0 | - | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) |
| 0 | 0 | - | 0 | - | a |
| 0 | 2 | (1.1013833535638253e-105 -1.532443696495357e-178 -6.492343210142517e-220) | 0 | - | (*.f64 #s(literal 4 binary64) (*.f64 a c)) |
| 0 | 0 | - | 0 | - | (*.f64 a c) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 b b) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) a) |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (neg.f64 b) |
| 0 | 0 | - | 0 | - | b |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) | oflow-rescue | 98 | 0 |
| ↳ | (*.f64 b b) | overflow | 83 | |
| ↳ | (*.f64 #s(literal 4 binary64) (*.f64 a c)) | overflow | 26 | |
| ↳ | (*.f64 a c) | overflow | 25 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) | overflow | 98 | |
+.f64 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) | cancellation | 67 | 0 |
/.f64 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) | u/n | 11 | 0 |
| ↳ | (*.f64 b b) | underflow | 35 | |
| ↳ | (*.f64 #s(literal 4 binary64) (*.f64 a c)) | underflow | 39 | |
| ↳ | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) | underflow | 25 | |
| ↳ | (*.f64 a c) | underflow | 41 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) | underflow | 4 | |
-.f64 | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) | nan-rescue | 7 | 0 |
| ↳ | (*.f64 b b) | overflow | 83 | |
| ↳ | (*.f64 #s(literal 4 binary64) (*.f64 a c)) | overflow | 26 | |
| ↳ | (*.f64 a c) | overflow | 25 | |
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) | uflow-rescue | 4 | 0 |
| ↳ | (*.f64 b b) | underflow | 35 | |
| ↳ | (*.f64 #s(literal 4 binary64) (*.f64 a c)) | underflow | 39 | |
| ↳ | (*.f64 a c) | underflow | 41 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) | underflow | 4 | |
*.f64 | (*.f64 #s(literal 4 binary64) (*.f64 a c)) | n*u | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 122 | 1 |
| - | 23 | 110 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 122 | 0 | 1 |
| - | 23 | 0 | 110 |
| number | freq |
|---|---|
| 0 | 111 |
| 1 | 108 |
| 2 | 31 |
| 3 | 6 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 30.0ms | 330× | 0 | valid |
| 24.0ms | 78× | 2 | valid |
| 20.0ms | 92× | 1 | valid |
| 4.0ms | 12× | 3 | valid |
Compiled 161 to 46 computations (71.4% saved)
ival-mult: 20.0ms (37.4% of total)adjust: 8.0ms (15% of total)ival-sub: 7.0ms (13.1% of total)ival-sqrt: 6.0ms (11.2% of total)ival-div: 5.0ms (9.4% of total)ival-add: 4.0ms (7.5% of total)ival-neg: 2.0ms (3.7% of total)exact: 1.0ms (1.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 158 |
| 1 | 171 | 151 |
| 2 | 450 | 151 |
| 3 | 949 | 151 |
| 4 | 1398 | 151 |
| 5 | 1578 | 151 |
| 6 | 1702 | 151 |
| 0 | 14 | 17 |
| 0 | 23 | 17 |
| 1 | 44 | 17 |
| 2 | 94 | 17 |
| 3 | 176 | 17 |
| 4 | 259 | 17 |
| 5 | 310 | 17 |
| 6 | 320 | 17 |
| 7 | 350 | 17 |
| 8 | 398 | 17 |
| 9 | 436 | 17 |
| 0 | 436 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
Compiled 17 to 14 computations (17.6% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 53.8% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
Compiled 17 to 14 computations (17.6% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) | |
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 1 | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 70 |
| 0 | 23 | 70 |
| 1 | 44 | 70 |
| 2 | 94 | 70 |
| 3 | 176 | 70 |
| 4 | 259 | 70 |
| 5 | 310 | 70 |
| 6 | 320 | 70 |
| 7 | 350 | 70 |
| 8 | 398 | 70 |
| 9 | 436 | 70 |
| 0 | 436 | 66 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) |
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) |
(*.f64 b b) |
(*.f64 #s(literal 4 binary64) (*.f64 a c)) |
#s(literal 4 binary64) |
(*.f64 a c) |
a |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
(+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b)) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(*.f64 b b) |
(*.f64 #s(literal 4 binary64) (*.f64 a c)) |
(*.f64 (*.f64 c #s(literal 4 binary64)) a) |
#s(literal 4 binary64) |
(*.f64 a c) |
(*.f64 c a) |
a |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.3984375000000002 | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) | |
| accuracy | 2.733126593870242 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 15.692707499584403 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) | |
| accuracy | 24.07528211675048 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) |
| 16.0ms | 39× | 2 | valid |
| 16.0ms | 165× | 0 | valid |
| 8.0ms | 46× | 1 | valid |
| 2.0ms | 6× | 3 | valid |
Compiled 72 to 16 computations (77.8% saved)
ival-div: 9.0ms (30.7% of total)ival-mult: 8.0ms (27.3% of total)adjust: 4.0ms (13.6% of total)ival-sqrt: 3.0ms (10.2% of total)ival-sub: 2.0ms (6.8% of total)ival-add: 2.0ms (6.8% of total)ival-neg: 1.0ms (3.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) |
| Outputs |
|---|
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* -4 (* a c)) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(- (pow b 2) (* 4 (* a c))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -1 b) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | b | @ | inf | ((- (* b b) (* 4 (* a c))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c))))) |
| 3.0ms | a | @ | inf | ((- (* b b) (* 4 (* a c))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c))))) |
| 3.0ms | c | @ | -inf | ((- (* b b) (* 4 (* a c))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c))))) |
| 3.0ms | a | @ | -inf | ((- (* b b) (* 4 (* a c))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c))))) |
| 2.0ms | b | @ | 0 | ((- (* b b) (* 4 (* a c))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 545 | 2842 |
| 1 | 1916 | 2807 |
| 2 | 7910 | 2807 |
| 0 | 8090 | 2667 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* -4 (* a c)) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(- (pow b 2) (* 4 (* a c))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -1 b) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
| Outputs |
|---|
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 (fma.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) |
(* -2 (/ (* a c) b)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
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(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.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 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 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 -1/64 binary64) (*.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 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 51 |
| 0 | 23 | 51 |
| 1 | 74 | 51 |
| 2 | 504 | 50 |
| 3 | 6317 | 49 |
| 0 | 8274 | 45 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
(*.f64 (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))))) |
(*.f64 (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) #s(literal 3 binary64)) (pow.f64 b #s(literal 12 binary64)))) (fma.f64 (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (pow.f64 b #s(literal 8 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) |
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) |
(*.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) |
(*.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) |
(pow.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) |
(/.f64 (*.f64 (hypot.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (hypot.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) (*.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))))) (+.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (fma.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (fma.f64 (neg.f64 b) b (*.f64 #s(literal -4 binary64) (*.f64 c a))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64)))) (hypot.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 (*.f64 (hypot.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))))) |
(/.f64 (*.f64 (hypot.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (hypot.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (*.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 4 binary64))) (*.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) |
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(/.f64 (-.f64 (pow.f64 b #s(literal 12 binary64)) (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 6 binary64))) (*.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))) |
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(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64))) |
(pow.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1/8 binary64)) |
(pow.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))))) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 (fabs.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64))))) (fabs.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))))) |
(/.f64 (fabs.f64 (hypot.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fabs.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 (hypot.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)) (sqrt.f64 (fma.f64 (neg.f64 b) b (*.f64 #s(literal -4 binary64) (*.f64 c a))))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) |
(/.f64 (hypot.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))) |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) |
(fabs.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (sinh.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) |
Compiled 16 937 to 1 866 computations (89% saved)
16 alts after pruning (16 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 396 | 16 | 412 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 397 | 16 | 413 |
| Status | Accuracy | Program |
|---|---|---|
| 50.0% | (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) a) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 b (*.f64 #s(literal -2 binary64) a))) | |
| 32.3% | (/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a b)) (*.f64 a (*.f64 #s(literal -2 binary64) a))) | |
| 20.7% | (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a)))) | |
| ▶ | 23.8% | (/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a)) |
| ▶ | 53.9% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
| 44.8% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 2 binary64) a)) | |
| 29.8% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) | |
| 33.4% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) | |
| 12.9% | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 37.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
| ▶ | 31.1% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
| 21.4% | (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a)))) | |
| 33.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b)) | |
| 37.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)) | |
| ▶ | 38.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
| 37.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))) |
Compiled 858 to 568 computations (33.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) | |
| cost-diff | 2 | (/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 7 | (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) | |
| cost-diff | 0 | (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 1 | (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b)) | |
| cost-diff | 0 | (*.f64 (/.f64 a b) #s(literal -2 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c) | |
| cost-diff | 0 | #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (/.f64 (neg.f64 b) a) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) | |
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 374 |
| 0 | 75 | 369 |
| 1 | 147 | 369 |
| 2 | 326 | 354 |
| 3 | 1035 | 346 |
| 4 | 3957 | 346 |
| 0 | 8102 | 343 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(neg.f64 b) |
b |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
c |
a |
(*.f64 b b) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
(/.f64 (neg.f64 b) a) |
(neg.f64 b) |
b |
a |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c) |
(*.f64 (/.f64 a b) #s(literal -2 binary64)) |
(/.f64 a b) |
a |
b |
#s(literal -2 binary64) |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b)) |
(fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) |
(/.f64 (*.f64 a (/.f64 c b)) b) |
(*.f64 a (/.f64 c b)) |
a |
(/.f64 c b) |
c |
b |
#s(literal -2 binary64) |
#s(literal 2 binary64) |
(neg.f64 b) |
(*.f64 #s(literal 2 binary64) a) |
(/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) |
(fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
(neg.f64 b) |
b |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
#s(literal -4 binary64) |
(*.f64 c a) |
c |
a |
(*.f64 b b) |
(+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (neg.f64 b)) |
(neg.f64 b) |
b |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
(*.f64 c #s(literal -4 binary64)) |
#s(literal -4 binary64) |
c |
a |
(*.f64 b b) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
(/.f64 (neg.f64 b) a) |
(neg.f64 b) |
b |
a |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64))) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c) |
(*.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64)) |
(*.f64 (/.f64 a b) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (/.f64 a b)) |
(/.f64 a b) |
a |
b |
#s(literal -2 binary64) |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) (*.f64 #s(literal 2 binary64) a) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) (*.f64 #s(literal 2 binary64) a) #s(literal -2 binary64)) b)) |
(*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b)) |
(*.f64 (fma.f64 (/.f64 (/.f64 c b) b) (*.f64 #s(literal 2 binary64) a) #s(literal -2 binary64)) b) |
(fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) |
(fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64) #s(literal 2 binary64)) |
(/.f64 (*.f64 a (/.f64 c b)) b) |
(/.f64 (*.f64 (/.f64 c b) a) b) |
(*.f64 a (/.f64 c b)) |
(*.f64 (/.f64 c b) a) |
a |
(/.f64 c b) |
c |
b |
#s(literal -2 binary64) |
#s(literal 2 binary64) |
(neg.f64 b) |
(*.f64 #s(literal 2 binary64) a) |
(/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (*.f64 (/.f64 (*.f64 a c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) #s(literal -2 binary64)) a) |
(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) |
(/.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) |
(fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
(*.f64 (*.f64 a c) #s(literal -4 binary64)) |
(neg.f64 b) |
b |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) |
#s(literal -4 binary64) |
(*.f64 c a) |
(*.f64 a c) |
c |
a |
(*.f64 b b) |
(+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 14.091308162228623 | (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) | |
| accuracy | 16.89590700954171 | (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) | |
| accuracy | 24.07528211675048 | (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) | |
| accuracy | 42.44979586740578 | (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) | |
| accuracy | 2.733126593870242 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 3.070029017264921 | (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b)) | |
| accuracy | 5.0511050430776825 | (*.f64 a (/.f64 c b)) | |
| accuracy | 39.74710099472533 | #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) | |
| accuracy | 0.0 | (*.f64 #s(literal 2 binary64) a) | |
| accuracy | 2.733126593870242 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 5.0814687816774615 | (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c) | |
| accuracy | 39.87845663513082 | #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) | |
| accuracy | 0.0 | (/.f64 (neg.f64 b) a) | |
| accuracy | 0.0 | (neg.f64 b) | |
| accuracy | 39.58260332557463 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) | |
| accuracy | 0.00390625 | (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) | |
| accuracy | 2.733126593870242 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 15.692707499584403 | (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) | |
| accuracy | 24.07528211675048 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
| 70.0ms | 86× | 1 | valid |
| 58.0ms | 78× | 2 | valid |
| 26.0ms | 73× | 0 | valid |
| 25.0ms | 19× | 3 | valid |
Compiled 344 to 43 computations (87.5% saved)
adjust: 36.0ms (25.7% of total)ival-mult: 35.0ms (25% of total)ival-sqrt: 32.0ms (22.9% of total)ival-div: 19.0ms (13.6% of total)ival-add: 14.0ms (10% of total)ival-sub: 2.0ms (1.4% of total)exact: 1.0ms (0.7% of total)ival-neg: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(neg.f64 b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
(/.f64 (neg.f64 b) a) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c) |
(*.f64 (/.f64 a b) #s(literal -2 binary64)) |
(*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) |
(fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) |
(fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
(/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a (/.f64 c b)) |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
(+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) |
| Outputs |
|---|
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* -1 (/ b a)) |
(* -2 (/ a b)) |
(* -2 b) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
2 |
(+ 2 (* -2 (/ (* a c) (pow b 2)))) |
(+ (* -1 (pow b 2)) (pow b 2)) |
(+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2))) |
(* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))) |
(/ (+ (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* 1/2 (* a (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))))) a) |
(/ (+ (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* c (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow c 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5)))))) (* 1/2 (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)))))))) a) |
(/ (+ (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* a (+ (* 1/2 (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (pow c 2) (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 4))) (+ (* -1 (/ (* (pow c 3) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 7))) (/ (* c (+ (* -1 (/ (* c (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow c 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (* c (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow c 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5)))))))))) a) |
(* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) |
(+ (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* a (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)))))) |
(+ (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* a (- (+ (* -2 (/ c b)) (* -1 (* a (+ (* -1 (/ (* c (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow c 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))))))) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)))))) |
(+ (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* a (- (+ (* -2 (/ c b)) (* a (- (* -1 (* a (+ (* -1 (/ (* (pow c 2) (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 4))) (+ (* -1 (/ (* (pow c 3) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 7))) (/ (* c (+ (* -1 (/ (* c (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow c 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))))) (pow b 2)))))) (+ (* -1 (/ (* c (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow c 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))))))) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(* 2 a) |
(/ (* a c) b) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* 2 (/ (* a c) b)) |
(* a (+ (* -2 (/ b a)) (* 2 (/ c b)))) |
(* -2 (/ (* a c) (pow b 2))) |
(* a (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a)))) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a)))) |
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 1/2 (/ (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (pow a 2))) (* 1/2 (/ (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (pow a 2))) (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (sqrt -4)))) (* 1/2 (/ (* a (* (pow b 2) (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2))))) (pow a 3))) (* 1/2 (/ (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a))))) a) |
(* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) |
(- (+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ b (pow (sqrt -4) 2)))) |
(- (+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (pow a 2))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))))) (* -4 (/ b (pow (sqrt -4) 2)))) |
(- (+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (sqrt -4)))) (* 1/2 (/ (* a (* (pow b 2) (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2))))) (pow a 3))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))))) (+ (* -4 (/ b (pow (sqrt -4) 2))) (+ (* -2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* -1 (* a (+ (* -2 (/ c b)) (* 2 (/ b a))))) |
(* -1 (* a (- (* 2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) a)) (* 4 c)))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 (/ (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b)))) (* -1/2 (/ (+ (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b)))))))) a))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b)))))))))))) (* -1/8 (/ (* a (* (pow b 2) (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))) c))) a)) (* 1/2 (+ (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b)))))))))) a)) (* -1/2 (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))) a))) a)) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(+ (* -1 (/ (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))) a)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(+ (* -1 (/ (- (+ (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) (* -1 (* a b))) a)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b)))))))))))) (* -1/8 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b)))) c))) (+ (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))))) a)) (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))) (* -1 (* a b))) a)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -1 b) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(/ (+ (* -2 (pow b 2)) (* 2 (* a c))) b) |
(/ (+ (* -2 (* a c)) (* 2 (pow b 2))) (pow b 2)) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -1/2 (* b (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -1/2 (* b (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))) (* 2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -1/2 (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2)))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (+ (* -1 (* b (+ (* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))))) (* 4 (/ 1 (pow (sqrt -4) 2)))))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (- (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))) (* 2 (/ 1 (* a (* c (pow (sqrt -4) 4)))))))) (+ (* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))))) (* 4 (/ 1 (pow (sqrt -4) 2)))))) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4))) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* 2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6)))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (+ (* -2 (* (pow a 4) (pow c 4))) (* -1/2 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* 2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* 2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* 2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ 1 a)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* 4 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2)))) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (+ (* 4 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a c))) (* (pow a 3) (pow c 3)))) (pow b 6))) (* 4 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2)))) (pow b 4)))))))) |
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(+ (* -1/2 (* c (+ (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow b 3))) (* 2 (/ 1 b))))) (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b)))) |
(+ (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))) (* c (+ (* -1/2 (* c (+ (* -1/2 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))) (/ (* a (+ (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow b 3))) (* 2 (/ 1 b)))) (pow b 2))))) (* -1/2 (+ (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow b 3))) (* 2 (/ 1 b))))))) |
(+ (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))) (* c (+ (* -1/2 (+ (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow b 3))) (* 2 (/ 1 b)))) (* c (+ (* -1/2 (* c (+ (* -1 (/ (* (pow a 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 7))) (+ (/ (* a (+ (* -1/2 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))) (/ (* a (+ (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow b 3))) (* 2 (/ 1 b)))) (pow b 2)))) (pow b 2)) (/ (* (pow a 2) (+ (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow b 3))) (* 2 (/ 1 b)))) (pow b 4)))))) (* -1/2 (+ (* -1/2 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))) (/ (* a (+ (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow b 3))) (* 2 (/ 1 b)))) (pow b 2))))))))) |
(+ (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* c (- (* -2 (/ a b)) (* -1/2 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)))))) |
(+ (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* c (- (+ (* -2 (/ a b)) (* -1 (* c (+ (* -1 (/ (* a (- (* -2 (/ a b)) (* -1/2 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow a 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))))))) (* -1/2 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)))))) |
(+ (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* c (- (+ (* -2 (/ a b)) (* c (- (* -1 (* c (+ (* -1 (/ (* (pow a 2) (- (* -2 (/ a b)) (* -1/2 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 4))) (+ (* -1 (/ (* (pow a 3) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 7))) (/ (* a (+ (* -1 (/ (* a (- (* -2 (/ a b)) (* -1/2 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow a 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))))) (pow b 2)))))) (+ (* -1 (/ (* a (- (* -2 (/ a b)) (* -1/2 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow a 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))))))) (* -1/2 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)))))) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* c (+ (* -2 (/ b c)) (* 2 (/ a b)))) |
(* c (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c)))) |
(* c (+ (* -4 a) (+ (* -1 (/ (pow b 2) c)) (/ (pow b 2) c)))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 1/2 (/ (- (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (pow c 2))) (* 1/2 (/ (- (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (pow c 2))) (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4))))) (sqrt -4)))) (* 1/2 (/ (* (pow b 2) (* c (- (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))))) (* a (pow (sqrt -4) 2))))) (pow c 3))) (* 1/2 (/ (- (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c))))) |
(- (+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4)))) (pow c 2))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))))) (* -4 (/ b (pow (sqrt -4) 2)))) |
(- (+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4))))) (sqrt -4)))) (* 1/2 (/ (* (pow b 2) (* c (- (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (pow (sqrt -4) 2)))))) (* a (pow (sqrt -4) 2))))) (pow c 3))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))))) (+ (* -4 (/ b (pow (sqrt -4) 2))) (+ (* -2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b (- (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4)))))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -1 (* c (+ (* -2 (/ a b)) (* 2 (/ b c))))) |
(* -1 (* c (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) c)) (* 4 a)))) |
(+ (* -1/2 (/ (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* 1/2 (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a)))) (* 1/2 (/ (+ (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a)))))))) c))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a)))))))))))) (* -1/8 (/ (* (pow b 2) (* c (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) a))) c))) c)) (* 1/2 (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (- (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))) c)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(+ (* -1 (/ (- (+ (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) (* -1 (* b c))) c)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* 1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c)))))))))))) (* -1/8 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c)))) a))) (+ (* 1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))))) c)) (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))) (* -1 (* b c))) c)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | b | @ | inf | ((/ (+ (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (+ (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (neg b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (* (/ a b) -2) c) (* (/ a b) -2) (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (+ (* (/ (* a (/ c b)) b) -2) 2) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 a)) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (+ (* (* -4 c) a) (* b b)) (* 2 a) (* a (/ c b)) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) |
| 10.0ms | b | @ | -inf | ((/ (+ (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (+ (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (neg b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (* (/ a b) -2) c) (* (/ a b) -2) (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (+ (* (/ (* a (/ c b)) b) -2) 2) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 a)) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (+ (* (* -4 c) a) (* b b)) (* 2 a) (* a (/ c b)) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) |
| 8.0ms | a | @ | 0 | ((/ (+ (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (+ (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (neg b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (* (/ a b) -2) c) (* (/ a b) -2) (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (+ (* (/ (* a (/ c b)) b) -2) 2) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 a)) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (+ (* (* -4 c) a) (* b b)) (* 2 a) (* a (/ c b)) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) |
| 7.0ms | c | @ | inf | ((/ (+ (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (+ (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (neg b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (* (/ a b) -2) c) (* (/ a b) -2) (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (+ (* (/ (* a (/ c b)) b) -2) 2) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 a)) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (+ (* (* -4 c) a) (* b b)) (* 2 a) (* a (/ c b)) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) |
| 7.0ms | c | @ | 0 | ((/ (+ (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (+ (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (neg b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (* (/ a b) -2) c) (* (/ a b) -2) (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (+ (* (/ (* a (/ c b)) b) -2) 2) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 a)) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (+ (* (* -4 c) a) (* b b)) (* 2 a) (* a (/ c b)) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1201 | 8214 |
| 1 | 4581 | 7360 |
| 0 | 8645 | 6970 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* -1 (/ b a)) |
(* -2 (/ a b)) |
(* -2 b) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
2 |
(+ 2 (* -2 (/ (* a c) (pow b 2)))) |
(+ (* -1 (pow b 2)) (pow b 2)) |
(+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2))) |
(* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))) |
(/ (+ (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* 1/2 (* a (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))))) a) |
(/ (+ (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* c (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow c 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5)))))) (* 1/2 (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)))))))) a) |
(/ (+ (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* a (+ (* 1/2 (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (pow c 2) (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 4))) (+ (* -1 (/ (* (pow c 3) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 7))) (/ (* c (+ (* -1 (/ (* c (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow c 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (* c (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow c 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5)))))))))) a) |
(* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) |
(+ (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* a (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)))))) |
(+ (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* a (- (+ (* -2 (/ c b)) (* -1 (* a (+ (* -1 (/ (* c (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow c 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))))))) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)))))) |
(+ (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* a (- (+ (* -2 (/ c b)) (* a (- (* -1 (* a (+ (* -1 (/ (* (pow c 2) (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 4))) (+ (* -1 (/ (* (pow c 3) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 7))) (/ (* c (+ (* -1 (/ (* c (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow c 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))))) (pow b 2)))))) (+ (* -1 (/ (* c (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow c 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))))))) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(* 2 a) |
(/ (* a c) b) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* 2 (/ (* a c) b)) |
(* a (+ (* -2 (/ b a)) (* 2 (/ c b)))) |
(* -2 (/ (* a c) (pow b 2))) |
(* a (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a)))) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a)))) |
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 1/2 (/ (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (pow a 2))) (* 1/2 (/ (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (pow a 2))) (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (sqrt -4)))) (* 1/2 (/ (* a (* (pow b 2) (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2))))) (pow a 3))) (* 1/2 (/ (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a))))) a) |
(* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) |
(- (+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ b (pow (sqrt -4) 2)))) |
(- (+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (pow a 2))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))))) (* -4 (/ b (pow (sqrt -4) 2)))) |
(- (+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (sqrt -4)))) (* 1/2 (/ (* a (* (pow b 2) (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2))))) (pow a 3))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))))) (+ (* -4 (/ b (pow (sqrt -4) 2))) (+ (* -2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* -1 (* a (+ (* -2 (/ c b)) (* 2 (/ b a))))) |
(* -1 (* a (- (* 2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) a)) (* 4 c)))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 (/ (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b)))) (* -1/2 (/ (+ (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b)))))))) a))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b)))))))))))) (* -1/8 (/ (* a (* (pow b 2) (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))) c))) a)) (* 1/2 (+ (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b)))))))))) a)) (* -1/2 (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))) a))) a)) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(+ (* -1 (/ (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))) a)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(+ (* -1 (/ (- (+ (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) (* -1 (* a b))) a)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b)))))))))))) (* -1/8 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b)))) c))) (+ (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))))) a)) (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))) (* -1 (* a b))) a)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -1 b) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(/ (+ (* -2 (pow b 2)) (* 2 (* a c))) b) |
(/ (+ (* -2 (* a c)) (* 2 (pow b 2))) (pow b 2)) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -1/2 (* b (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -1/2 (* b (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))) (* 2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -1/2 (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2)))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (+ (* -1 (* b (+ (* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))))) (* 4 (/ 1 (pow (sqrt -4) 2)))))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (- (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))) (* 2 (/ 1 (* a (* c (pow (sqrt -4) 4)))))))) (+ (* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))))) (* 4 (/ 1 (pow (sqrt -4) 2)))))) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4))) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* 2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6)))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (+ (* -2 (* (pow a 4) (pow c 4))) (* -1/2 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* 2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* 2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* 2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ 1 a)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* 4 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2)))) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (+ (* 4 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a c))) (* (pow a 3) (pow c 3)))) (pow b 6))) (* 4 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2)))) (pow b 4)))))))) |
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(+ (* -1/2 (* c (+ (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow b 3))) (* 2 (/ 1 b))))) (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b)))) |
(+ (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))) (* c (+ (* -1/2 (* c (+ (* -1/2 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))) (/ (* a (+ (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow b 3))) (* 2 (/ 1 b)))) (pow b 2))))) (* -1/2 (+ (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow b 3))) (* 2 (/ 1 b))))))) |
(+ (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))) (* c (+ (* -1/2 (+ (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow b 3))) (* 2 (/ 1 b)))) (* c (+ (* -1/2 (* c (+ (* -1 (/ (* (pow a 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 7))) (+ (/ (* a (+ (* -1/2 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))) (/ (* a (+ (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow b 3))) (* 2 (/ 1 b)))) (pow b 2)))) (pow b 2)) (/ (* (pow a 2) (+ (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow b 3))) (* 2 (/ 1 b)))) (pow b 4)))))) (* -1/2 (+ (* -1/2 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))) (/ (* a (+ (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow b 3))) (* 2 (/ 1 b)))) (pow b 2))))))))) |
(+ (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* c (- (* -2 (/ a b)) (* -1/2 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)))))) |
(+ (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* c (- (+ (* -2 (/ a b)) (* -1 (* c (+ (* -1 (/ (* a (- (* -2 (/ a b)) (* -1/2 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow a 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))))))) (* -1/2 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)))))) |
(+ (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* c (- (+ (* -2 (/ a b)) (* c (- (* -1 (* c (+ (* -1 (/ (* (pow a 2) (- (* -2 (/ a b)) (* -1/2 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 4))) (+ (* -1 (/ (* (pow a 3) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 7))) (/ (* a (+ (* -1 (/ (* a (- (* -2 (/ a b)) (* -1/2 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow a 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))))) (pow b 2)))))) (+ (* -1 (/ (* a (- (* -2 (/ a b)) (* -1/2 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow a 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))))))) (* -1/2 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)))))) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* c (+ (* -2 (/ b c)) (* 2 (/ a b)))) |
(* c (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c)))) |
(* c (+ (* -4 a) (+ (* -1 (/ (pow b 2) c)) (/ (pow b 2) c)))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 1/2 (/ (- (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (pow c 2))) (* 1/2 (/ (- (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (pow c 2))) (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4))))) (sqrt -4)))) (* 1/2 (/ (* (pow b 2) (* c (- (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))))) (* a (pow (sqrt -4) 2))))) (pow c 3))) (* 1/2 (/ (- (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c))))) |
(- (+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4)))) (pow c 2))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))))) (* -4 (/ b (pow (sqrt -4) 2)))) |
(- (+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4))))) (sqrt -4)))) (* 1/2 (/ (* (pow b 2) (* c (- (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (pow (sqrt -4) 2)))))) (* a (pow (sqrt -4) 2))))) (pow c 3))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))))) (+ (* -4 (/ b (pow (sqrt -4) 2))) (+ (* -2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b (- (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4)))))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -1 (* c (+ (* -2 (/ a b)) (* 2 (/ b c))))) |
(* -1 (* c (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) c)) (* 4 a)))) |
(+ (* -1/2 (/ (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* 1/2 (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a)))) (* 1/2 (/ (+ (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a)))))))) c))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a)))))))))))) (* -1/8 (/ (* (pow b 2) (* c (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) a))) c))) c)) (* 1/2 (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (- (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))) c)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(+ (* -1 (/ (- (+ (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) (* -1 (* b c))) c)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* 1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c)))))))))))) (* -1/8 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c)))) a))) (+ (* 1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))))) c)) (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))) (* -1 (* b c))) c)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
| Outputs |
|---|
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal -2 binary64) (/.f64 (neg.f64 (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (neg.f64 (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) |
(* -2 (/ (* a c) b)) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a b) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a b) |
(* -1 (/ b a)) |
(/.f64 (neg.f64 b) a) |
(* -2 (/ a b)) |
(*.f64 (/.f64 a b) #s(literal -2 binary64)) |
(* -2 b) |
(*.f64 #s(literal -2 binary64) b) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(*.f64 #s(literal -2 binary64) (-.f64 b (*.f64 a (/.f64 c b)))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -2 (/ (* a c) (pow b 2)))) |
(fma.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) (/.f64 c b) #s(literal 2 binary64)) |
(+ (* -1 (pow b 2)) (pow b 2)) |
#s(literal 0 binary64) |
(+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2))) |
(fma.f64 #s(literal -4 binary64) (*.f64 a c) #s(literal 0 binary64)) |
(* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))) |
(/.f64 #s(literal 0 binary64) b) |
(/ (+ (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* 1/2 (* a (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))))) a) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal -2 binary64) (/.f64 c b) (*.f64 #s(literal 1/2 binary64) (*.f64 c (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64)))))) (/.f64 #s(literal 0 binary64) b)) a) |
(/ (+ (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* c (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow c 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5)))))) (* 1/2 (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)))))))) a) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (fma.f64 (neg.f64 c) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 c b) (*.f64 #s(literal 1/2 binary64) (*.f64 c (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 b b)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 0 binary64) (*.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) a) (fma.f64 #s(literal -2 binary64) (/.f64 c b) (*.f64 #s(literal 1/2 binary64) (*.f64 c (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64)))))))) a (/.f64 #s(literal 0 binary64) b)) a) |
(/ (+ (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* a (+ (* 1/2 (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (pow c 2) (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 4))) (+ (* -1 (/ (* (pow c 3) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 7))) (/ (* c (+ (* -1 (/ (* c (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow c 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (* c (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow c 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5)))))))))) a) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 (neg.f64 (pow.f64 c #s(literal 3 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 7 binary64))) (fma.f64 (/.f64 (fma.f64 (neg.f64 c) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 c b) (*.f64 #s(literal 1/2 binary64) (*.f64 c (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 b b)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 0 binary64) (*.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) b) (/.f64 c b) (*.f64 (neg.f64 (*.f64 c c)) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 c b) (*.f64 #s(literal 1/2 binary64) (*.f64 c (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64)))))) (pow.f64 b #s(literal 4 binary64)))))) a (fma.f64 (neg.f64 c) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 c b) (*.f64 #s(literal 1/2 binary64) (*.f64 c (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 b b)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 0 binary64) (*.f64 c c))) (pow.f64 b #s(literal 5 binary64)))))) a (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 c b) (*.f64 #s(literal 1/2 binary64) (*.f64 c (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64)))))) #s(literal 1/2 binary64))) a (/.f64 #s(literal 0 binary64) b)) a) |
(* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) |
(/.f64 #s(literal 0 binary64) b) |
(+ (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* a (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)))))) |
(fma.f64 (fma.f64 #s(literal -2 binary64) (/.f64 c b) (*.f64 #s(literal 1/2 binary64) (*.f64 c (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64)))))) a (/.f64 #s(literal 0 binary64) b)) |
(+ (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* a (- (+ (* -2 (/ c b)) (* -1 (* a (+ (* -1 (/ (* c (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow c 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))))))) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)))))) |
(fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (neg.f64 c) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 c b) (*.f64 #s(literal 1/2 binary64) (*.f64 c (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 b b)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 0 binary64) (*.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (fma.f64 #s(literal -2 binary64) (/.f64 c b) (*.f64 #s(literal 1/2 binary64) (*.f64 c (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64))))))) a (/.f64 #s(literal 0 binary64) b)) |
(+ (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* a (- (+ (* -2 (/ c b)) (* a (- (* -1 (* a (+ (* -1 (/ (* (pow c 2) (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 4))) (+ (* -1 (/ (* (pow c 3) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 7))) (/ (* c (+ (* -1 (/ (* c (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow c 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))))) (pow b 2)))))) (+ (* -1 (/ (* c (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow c 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))))))) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)))))) |
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(fma.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 1/2 binary64) (*.f64 b (/.f64 c a))) c) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))) |
(+ (* -1 (/ (+ (* 1/2 (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a)))) (* 1/2 (/ (+ (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a)))))))) c))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64)) (fma.f64 b (/.f64 c a) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (/.f64 c a) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 1/2 binary64) (*.f64 b (/.f64 c a)))))) c)))) (neg.f64 c))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a)))))))))))) (* -1/8 (/ (* (pow b 2) (* c (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) a))) c))) c)) (* 1/2 (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 1/2 binary64) (*.f64 b (/.f64 c a))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (/.f64 c a) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 1/2 binary64) (*.f64 b (/.f64 c a)))))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (/.f64 c a) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 1/2 binary64) (*.f64 b (/.f64 c a))))))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 1/2 binary64) (*.f64 b (/.f64 c a)))) a) #s(literal -1/8 binary64))) c))) (neg.f64 c))) (neg.f64 c))) |
(+ (* -1 (/ (- (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))) c)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c))) #s(literal 2 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64) (*.f64 c b)) (neg.f64 c))) |
(+ (* -1 (/ (- (+ (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) (* -1 (* b c))) c)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64)) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64) (*.f64 c b))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 c b))) (neg.f64 c))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* 1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c)))))))))))) (* -1/8 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c)))) a))) (+ (* 1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))))) c)) (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))) (* -1 (* b c))) c)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64) (*.f64 c b)))))) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64) (*.f64 c b)) (*.f64 b b)) a) #s(literal -1/8 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64) (*.f64 c b)))))) c) #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64) (*.f64 c b))) (neg.f64 c))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (/.f64 (*.f64 (neg.f64 b) b) c))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64) (/.f64 (neg.f64 b) c))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) b) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) c)) (neg.f64 c)))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 304 |
| 0 | 75 | 299 |
| 1 | 275 | 273 |
| 2 | 1617 | 273 |
| 0 | 8402 | 273 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(neg.f64 b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
(/.f64 (neg.f64 b) a) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c) |
(*.f64 (/.f64 a b) #s(literal -2 binary64)) |
(*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) |
(fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) |
(fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
(/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a (/.f64 c b)) |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
(+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))) |
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (neg.f64 b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))) |
(*.f64 (/.f64 (fma.f64 b b (+.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))) (fma.f64 b b (+.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)))) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal -2 binary64) a)))))) |
(/.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (neg.f64 b)) a)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) #s(literal 2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) #s(literal 2 binary64)) (*.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (neg.f64 b)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 a))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) b))) (neg.f64 (neg.f64 (*.f64 #s(literal -2 binary64) a)))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 b) (*.f64 #s(literal 2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) a) a (*.f64 #s(literal 2 binary64) (/.f64 b #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) a) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (neg.f64 b) a))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) a) (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal 2 binary64) (neg.f64 b))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) a) (*.f64 #s(literal -2 binary64) a) (*.f64 #s(literal 2 binary64) b)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) #s(literal 2 binary64)) a (*.f64 a (/.f64 b #s(literal -2 binary64)))) (*.f64 a a)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 a (/.f64 (neg.f64 b) a))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) a) (*.f64 a (neg.f64 b))) (*.f64 a (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a b)) (*.f64 a (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) a (*.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 b #s(literal -2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) a) a)) |
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (neg.f64 b) a))) (*.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a) (*.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 b))) (*.f64 (*.f64 #s(literal -2 binary64) a) (*.f64 #s(literal 2 binary64) a))) |
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(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) |
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(+.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 (neg.f64 b) b))) (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))) (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))) |
(+.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) (-.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) (*.f64 (neg.f64 b) b)) (pow.f64 b #s(literal 4 binary64)))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) (/.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) (-.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) (*.f64 (neg.f64 b) b)) (pow.f64 b #s(literal 4 binary64)))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))) |
(+.f64 (/.f64 (*.f64 b b) (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))) (/.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))) |
(+.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))) |
(+.f64 (/.f64 (fma.f64 (neg.f64 b) b (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) (/.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))) |
(+.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 (neg.f64 b) b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))) |
(+.f64 (/.f64 (*.f64 (neg.f64 b) b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) (/.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))) |
(+.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) (/.f64 (fma.f64 b b (*.f64 (neg.f64 b) b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))) |
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (/.f64 (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))) |
(+.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))) |
(+.f64 (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) (/.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 (neg.f64 b) b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))) |
(+.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) (/.f64 (*.f64 b b) (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)))) |
(+.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) (/.f64 (*.f64 (neg.f64 b) b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) |
(+.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) |
Compiled 48 451 to 4 403 computations (90.9% saved)
19 alts after pruning (18 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 951 | 10 | 961 |
| Fresh | 3 | 8 | 11 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 958 | 19 | 977 |
| Status | Accuracy | Program |
|---|---|---|
| 32.4% | (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a))) | |
| 20.7% | (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))) | |
| 42.2% | (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a)) | |
| 21.4% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a))))) | |
| ▶ | 53.9% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (+.f64 a a)) |
| ▶ | 44.8% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 2 binary64) a)) |
| 29.8% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) | |
| 33.4% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 12.9% | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 2 binary64) a)) |
| 31.1% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (+.f64 a a)) | |
| 31.1% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a)) | |
| 12.4% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) a)) | |
| 45.8% | (*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) a) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 2 binary64))) | |
| 21.4% | (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a)))) | |
| ▶ | 12.8% | #s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 a)) (/.f64 #s(literal 0 binary64) b)) |
| 33.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b)) | |
| 37.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)) | |
| ✓ | 38.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
| ▶ | 37.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))) |
Compiled 1 076 to 687 computations (36.2% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) | |
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 2 | (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b) | |
| cost-diff | 4 | (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) | |
| cost-diff | 0 | #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b)) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) | |
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 0 | (/.f64 (neg.f64 c) (*.f64 b b)) | |
| cost-diff | 0 | (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))) | |
| cost-diff | 4 | (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)) | |
| cost-diff | 0 | #s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 a)) (/.f64 #s(literal 0 binary64) b)) | |
| cost-diff | 2 | (/.f64 #s(literal 0 binary64) b) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) | |
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (+.f64 a a)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 432 |
| 0 | 94 | 412 |
| 1 | 181 | 411 |
| 2 | 427 | 400 |
| 3 | 1426 | 363 |
| 4 | 5689 | 363 |
| 0 | 8202 | 362 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (+.f64 a a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(neg.f64 b) |
b |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
c |
a |
(*.f64 b b) |
(+.f64 a a) |
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 a)) (/.f64 #s(literal 0 binary64) b)) |
(/.f64 #s(literal 0 binary64) b) |
#s(literal 0 binary64) |
b |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))) |
(neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))) |
(fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)) |
(/.f64 (neg.f64 c) (*.f64 b b)) |
(neg.f64 c) |
c |
(*.f64 b b) |
b |
(/.f64 b a) |
a |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) |
(neg.f64 b) |
b |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b)) |
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b) |
(*.f64 #s(literal -2 binary64) a) |
#s(literal -2 binary64) |
a |
(/.f64 c b) |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) |
(neg.f64 b) |
b |
(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))) |
#s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b) |
(*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) |
(fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) |
(/.f64 (*.f64 a (/.f64 c b)) b) |
(*.f64 a (/.f64 c b)) |
a |
(/.f64 c b) |
c |
#s(literal -4 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (+.f64 a a)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b)) |
(neg.f64 b) |
b |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
(*.f64 c #s(literal -4 binary64)) |
#s(literal -4 binary64) |
c |
a |
(*.f64 b b) |
(+.f64 a a) |
(*.f64 #s(literal 2 binary64) a) |
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 a)) (/.f64 #s(literal 0 binary64) b)) |
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 a)) #s(literal 0 binary64)) |
(/.f64 #s(literal 0 binary64) b) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
b |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (-.f64 (/.f64 b a) (/.f64 c b)))) |
(neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))) |
(neg.f64 (-.f64 (/.f64 b a) (/.f64 c b))) |
(fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)) |
(-.f64 (/.f64 b a) (/.f64 c b)) |
(/.f64 (neg.f64 c) (*.f64 b b)) |
(/.f64 c (*.f64 (neg.f64 b) b)) |
(neg.f64 c) |
c |
(*.f64 b b) |
b |
(/.f64 b a) |
a |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) |
(+.f64 #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) (neg.f64 b)) |
(neg.f64 b) |
b |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b)) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) |
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b) |
(fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b) |
(*.f64 #s(literal -2 binary64) a) |
#s(literal -2 binary64) |
a |
(/.f64 c b) |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) |
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) |
(neg.f64 b) |
b |
(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))) |
(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) |
#s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)) |
#s(approx (- (* b b) (* 4 (* a c))) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) |
(fma.f64 (*.f64 (/.f64 c b) a) #s(literal -4 binary64) b) |
(fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) |
(/.f64 (*.f64 a (/.f64 c b)) b) |
(/.f64 (*.f64 (/.f64 c b) a) b) |
(*.f64 a (/.f64 c b)) |
(*.f64 (/.f64 c b) a) |
a |
(/.f64 c b) |
c |
#s(literal -4 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.069612537687242 | (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) | |
| accuracy | 5.0511050430776825 | (*.f64 a (/.f64 c b)) | |
| accuracy | 15.692707499584403 | (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) | |
| accuracy | 24.07528211675048 | (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))) | |
| accuracy | 0.2956826623616379 | (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b) | |
| accuracy | 2.733126593870242 | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 15.692707499584403 | (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) | |
| accuracy | 40.257607763167826 | #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b)) | |
| accuracy | 0.0 | (neg.f64 c) | |
| accuracy | 3.7766023125644805 | (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)) | |
| accuracy | 7.058616667259747 | (/.f64 (neg.f64 c) (*.f64 b b)) | |
| accuracy | 39.73035200948754 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))) | |
| accuracy | 0.0 | (/.f64 #s(literal 0 binary64) b) | |
| accuracy | 55.790183310918 | #s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 a)) (/.f64 #s(literal 0 binary64) b)) | |
| accuracy | 0.00390625 | (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) | |
| accuracy | 2.733126593870242 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (+.f64 a a)) | |
| accuracy | 15.692707499584403 | (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) | |
| accuracy | 24.07528211675048 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
| 124.0ms | 80× | 2 | valid |
| 59.0ms | 86× | 1 | valid |
| 34.0ms | 73× | 0 | valid |
| 18.0ms | 17× | 3 | valid |
Compiled 340 to 53 computations (84.4% saved)
ival-mult: 74.0ms (40.6% of total)adjust: 49.0ms (26.9% of total)ival-div: 23.0ms (12.6% of total)ival-add: 18.0ms (9.9% of total)ival-sqrt: 11.0ms (6% of total)ival-neg: 4.0ms (2.2% of total)ival-sub: 2.0ms (1.1% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (+.f64 a a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(neg.f64 b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(/.f64 #s(literal 0 binary64) b) |
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 a)) (/.f64 #s(literal 0 binary64) b)) |
(fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))) |
(neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))) |
(/.f64 (neg.f64 c) (*.f64 b b)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b)) |
(*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(neg.f64 c) |
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b) |
(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))) |
(*.f64 a (/.f64 c b)) |
| Outputs |
|---|
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))) |
(/ (+ (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* 1/2 (* a (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))))) a) |
(/ (+ (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* c (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow c 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5)))))) (* 1/2 (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)))))))) a) |
(/ (+ (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* a (+ (* 1/2 (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (pow c 2) (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 4))) (+ (* -1 (/ (* (pow c 3) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 7))) (/ (* c (+ (* -1 (/ (* c (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow c 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (* c (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow c 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5)))))))))) a) |
(/ b a) |
(/ (+ b (* -1 (/ (* a c) b))) a) |
(* -1 (/ b a)) |
(/ (- (/ (* a c) b) b) a) |
(+ b (* -4 (/ (* a c) b))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(/ (* a c) b) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 1/2 (/ (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (pow a 2))) (* 1/2 (/ (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (pow a 2))) (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (sqrt -4)))) (* 1/2 (/ (* a (* (pow b 2) (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2))))) (pow a 3))) (* 1/2 (/ (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a))))) a) |
(+ (* -1 (/ c b)) (/ b a)) |
(/ c b) |
(- (* -1 (/ b a)) (* -1 (/ c b))) |
(* -4 (/ (* a c) b)) |
(* a (+ (* -4 (/ c b)) (/ b a))) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -2 (/ c b)) (/ b a))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 (/ (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b)))) (* -1/2 (/ (+ (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b)))))))) a))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b)))))))))))) (* -1/8 (/ (* a (* (pow b 2) (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))) c))) a)) (* 1/2 (+ (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b)))))))))) a)) (* -1/2 (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))) a))) a)) |
(* -1 (* a (+ (* -1 (/ b a)) (* 4 (/ c b))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -1 b) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
0 |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -1/2 (* b (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -1/2 (* b (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))) (* 2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -1/2 (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(/ (+ (* -1 c) (/ (pow b 2) a)) b) |
(/ (- (* -1 (/ (pow b 2) a)) (* -1 c)) b) |
(* -1 (/ c (pow b 2))) |
(/ (+ (* -4 (* a c)) (pow b 2)) b) |
(/ (+ (* -2 (* a c)) (pow b 2)) b) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* 2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6)))))) b) |
(* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* 2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* 2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* 2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ 1 a)))))) |
(* -1 (* b (- (/ c (pow b 2)) (/ 1 a)))) |
(* -1 (* b (- (* 4 (/ (* a c) (pow b 2))) 1))) |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1))) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(+ (* -1/2 (* c (+ (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow b 3))) (* 2 (/ 1 b))))) (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b)))) |
(+ (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))) (* c (+ (* -1/2 (* c (+ (* -1/2 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))) (/ (* a (+ (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow b 3))) (* 2 (/ 1 b)))) (pow b 2))))) (* -1/2 (+ (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow b 3))) (* 2 (/ 1 b))))))) |
(+ (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))) (* c (+ (* -1/2 (+ (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow b 3))) (* 2 (/ 1 b)))) (* c (+ (* -1/2 (* c (+ (* -1 (/ (* (pow a 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 7))) (+ (/ (* a (+ (* -1/2 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))) (/ (* a (+ (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow b 3))) (* 2 (/ 1 b)))) (pow b 2)))) (pow b 2)) (/ (* (pow a 2) (+ (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow b 3))) (* 2 (/ 1 b)))) (pow b 4)))))) (* -1/2 (+ (* -1/2 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))) (/ (* a (+ (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow b 3))) (* 2 (/ 1 b)))) (pow b 2))))))))) |
(- (/ c b) (/ b a)) |
(* -1 c) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 1/2 (/ (- (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (pow c 2))) (* 1/2 (/ (- (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (pow c 2))) (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4))))) (sqrt -4)))) (* 1/2 (/ (* (pow b 2) (* c (- (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))))) (* a (pow (sqrt -4) 2))))) (pow c 3))) (* 1/2 (/ (- (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c))))) |
(* c (- (/ b (* a c)) (/ 1 b))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -4 (/ a b)) (/ b c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -2 (/ a b)) (/ b c))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(+ (* -1/2 (/ (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* 1/2 (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a)))) (* 1/2 (/ (+ (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a)))))))) c))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a)))))))))))) (* -1/8 (/ (* (pow b 2) (* c (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) a))) c))) c)) (* 1/2 (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 4 (/ a b))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | c | @ | inf | ((/ (+ (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (+ a a)) (+ (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (neg b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ 0 b) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 a)) (+ (* (/ (neg c) (* b b)) b) (/ b a)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/ (neg c) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (sqrt (- (* b b) (* 4 (* a c)))) (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (* (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (+ (* (* -4 c) a) (* b b)) (neg c) (+ (* (* -2 a) (/ c b)) b) (sqrt (- (* b b) (* 4 (* a c)))) (* a (/ c b))) |
| 3.0ms | c | @ | -inf | ((/ (+ (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (+ a a)) (+ (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (neg b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ 0 b) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 a)) (+ (* (/ (neg c) (* b b)) b) (/ b a)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/ (neg c) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (sqrt (- (* b b) (* 4 (* a c)))) (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (* (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (+ (* (* -4 c) a) (* b b)) (neg c) (+ (* (* -2 a) (/ c b)) b) (sqrt (- (* b b) (* 4 (* a c)))) (* a (/ c b))) |
| 3.0ms | c | @ | 0 | ((/ (+ (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (+ a a)) (+ (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (neg b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ 0 b) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 a)) (+ (* (/ (neg c) (* b b)) b) (/ b a)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/ (neg c) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (sqrt (- (* b b) (* 4 (* a c)))) (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (* (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (+ (* (* -4 c) a) (* b b)) (neg c) (+ (* (* -2 a) (/ c b)) b) (sqrt (- (* b b) (* 4 (* a c)))) (* a (/ c b))) |
| 3.0ms | b | @ | -inf | ((/ (+ (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (+ a a)) (+ (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (neg b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ 0 b) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 a)) (+ (* (/ (neg c) (* b b)) b) (/ b a)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/ (neg c) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (sqrt (- (* b b) (* 4 (* a c)))) (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (* (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (+ (* (* -4 c) a) (* b b)) (neg c) (+ (* (* -2 a) (/ c b)) b) (sqrt (- (* b b) (* 4 (* a c)))) (* a (/ c b))) |
| 3.0ms | b | @ | inf | ((/ (+ (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (+ a a)) (+ (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (neg b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ 0 b) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 a)) (+ (* (/ (neg c) (* b b)) b) (/ b a)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/ (neg c) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (sqrt (- (* b b) (* 4 (* a c)))) (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (* (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (+ (* (* -4 c) a) (* b b)) (neg c) (+ (* (* -2 a) (/ c b)) b) (sqrt (- (* b b) (* 4 (* a c)))) (* a (/ c b))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 920 | 5418 |
| 1 | 3465 | 4976 |
| 0 | 8431 | 4736 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))) |
(/ (+ (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* 1/2 (* a (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))))) a) |
(/ (+ (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* c (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow c 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5)))))) (* 1/2 (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)))))))) a) |
(/ (+ (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* a (+ (* 1/2 (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (pow c 2) (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 4))) (+ (* -1 (/ (* (pow c 3) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 7))) (/ (* c (+ (* -1 (/ (* c (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow c 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (* c (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow c 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5)))))))))) a) |
(/ b a) |
(/ (+ b (* -1 (/ (* a c) b))) a) |
(* -1 (/ b a)) |
(/ (- (/ (* a c) b) b) a) |
(+ b (* -4 (/ (* a c) b))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(/ (* a c) b) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 1/2 (/ (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (pow a 2))) (* 1/2 (/ (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (pow a 2))) (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (sqrt -4)))) (* 1/2 (/ (* a (* (pow b 2) (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2))))) (pow a 3))) (* 1/2 (/ (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a))))) a) |
(+ (* -1 (/ c b)) (/ b a)) |
(/ c b) |
(- (* -1 (/ b a)) (* -1 (/ c b))) |
(* -4 (/ (* a c) b)) |
(* a (+ (* -4 (/ c b)) (/ b a))) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -2 (/ c b)) (/ b a))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 (/ (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b)))) (* -1/2 (/ (+ (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b)))))))) a))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b)))))))))))) (* -1/8 (/ (* a (* (pow b 2) (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))) c))) a)) (* 1/2 (+ (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b)))))))))) a)) (* -1/2 (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))) a))) a)) |
(* -1 (* a (+ (* -1 (/ b a)) (* 4 (/ c b))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -1 b) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
0 |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -1/2 (* b (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -1/2 (* b (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))) (* 2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -1/2 (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(/ (+ (* -1 c) (/ (pow b 2) a)) b) |
(/ (- (* -1 (/ (pow b 2) a)) (* -1 c)) b) |
(* -1 (/ c (pow b 2))) |
(/ (+ (* -4 (* a c)) (pow b 2)) b) |
(/ (+ (* -2 (* a c)) (pow b 2)) b) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* 2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6)))))) b) |
(* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* 2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* 2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* 2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ 1 a)))))) |
(* -1 (* b (- (/ c (pow b 2)) (/ 1 a)))) |
(* -1 (* b (- (* 4 (/ (* a c) (pow b 2))) 1))) |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1))) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(+ (* -1/2 (* c (+ (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow b 3))) (* 2 (/ 1 b))))) (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b)))) |
(+ (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))) (* c (+ (* -1/2 (* c (+ (* -1/2 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))) (/ (* a (+ (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow b 3))) (* 2 (/ 1 b)))) (pow b 2))))) (* -1/2 (+ (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow b 3))) (* 2 (/ 1 b))))))) |
(+ (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))) (* c (+ (* -1/2 (+ (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow b 3))) (* 2 (/ 1 b)))) (* c (+ (* -1/2 (* c (+ (* -1 (/ (* (pow a 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 7))) (+ (/ (* a (+ (* -1/2 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))) (/ (* a (+ (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow b 3))) (* 2 (/ 1 b)))) (pow b 2)))) (pow b 2)) (/ (* (pow a 2) (+ (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow b 3))) (* 2 (/ 1 b)))) (pow b 4)))))) (* -1/2 (+ (* -1/2 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))) (/ (* a (+ (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow b 3))) (* 2 (/ 1 b)))) (pow b 2))))))))) |
(- (/ c b) (/ b a)) |
(* -1 c) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 1/2 (/ (- (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (pow c 2))) (* 1/2 (/ (- (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (pow c 2))) (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4))))) (sqrt -4)))) (* 1/2 (/ (* (pow b 2) (* c (- (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))))) (* a (pow (sqrt -4) 2))))) (pow c 3))) (* 1/2 (/ (- (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c))))) |
(* c (- (/ b (* a c)) (/ 1 b))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -4 (/ a b)) (/ b c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -2 (/ a b)) (/ b c))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(+ (* -1/2 (/ (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* 1/2 (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a)))) (* 1/2 (/ (+ (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a)))))))) c))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a)))))))))))) (* -1/8 (/ (* (pow b 2) (* c (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) a))) c))) c)) (* 1/2 (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 4 (/ a b))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b))))) |
| Outputs |
|---|
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal -2 binary64) (/.f64 (neg.f64 (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (neg.f64 (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) |
(* -2 (/ (* a c) b)) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a b) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a b) |
(* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))) |
(/.f64 #s(literal 0 binary64) (*.f64 a b)) |
(/ (+ (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* 1/2 (* a (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))))) a) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal -2 binary64) (/.f64 c b) (*.f64 #s(literal 1/2 binary64) (*.f64 c (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64)))))) (/.f64 #s(literal 0 binary64) b)) a) |
(/ (+ (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* c (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow c 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5)))))) (* 1/2 (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)))))))) a) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c c) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 5 binary64)))) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 c b) (*.f64 #s(literal 1/2 binary64) (*.f64 c (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64)))))) c) (*.f64 (neg.f64 b) b))) a) (fma.f64 #s(literal -2 binary64) (/.f64 c b) (*.f64 #s(literal 1/2 binary64) (*.f64 c (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64)))))))) a (/.f64 #s(literal 0 binary64) b)) a) |
(/ (+ (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* a (+ (* 1/2 (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (pow c 2) (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 4))) (+ (* -1 (/ (* (pow c 3) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 7))) (/ (* c (+ (* -1 (/ (* c (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow c 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (* c (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow c 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5)))))))))) a) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 (neg.f64 (fma.f64 (*.f64 c c) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 c b) (*.f64 #s(literal 1/2 binary64) (*.f64 c (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64)))))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (pow.f64 c #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 7 binary64)))))) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 c c) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 5 binary64)))) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 c b) (*.f64 #s(literal 1/2 binary64) (*.f64 c (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64)))))) c) (*.f64 (neg.f64 b) b))) b) (/.f64 c b))) a (fma.f64 (*.f64 (*.f64 c c) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 5 binary64)))) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 c b) (*.f64 #s(literal 1/2 binary64) (*.f64 c (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64)))))) c) (*.f64 (neg.f64 b) b))))) a (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 c b) (*.f64 #s(literal 1/2 binary64) (*.f64 c (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64)))))) #s(literal 1/2 binary64))) a (/.f64 #s(literal 0 binary64) b)) a) |
(/ b a) |
(/.f64 b a) |
(/ (+ b (* -1 (/ (* a c) b))) a) |
(/.f64 (-.f64 b (*.f64 a (/.f64 c b))) a) |
(* -1 (/ b a)) |
(/.f64 (neg.f64 b) a) |
(/ (- (/ (* a c) b) b) a) |
(/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a) |
(+ b (* -4 (/ (* a c) b))) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64) b) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64)) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/16 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -4 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 -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 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 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a))) a) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 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 -4 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 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a)))) a) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 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 -4 binary64)) (sqrt.f64 (/.f64 c a)))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 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 -4 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 -4 binary64)) (sqrt.f64 (/.f64 c a))))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 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 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 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))))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 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 -4 binary64)) (sqrt.f64 (/.f64 c a)))))) a) |
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) #s(literal -2 binary64)) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 1/2 (/ (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a))) a) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 a c)) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 a b) #s(literal -4 binary64)))) a) #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) #s(literal -2 binary64))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (pow a 2))) (* 1/2 (/ (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)))) a) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 (/.f64 b #s(literal -4 binary64)) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (*.f64 (*.f64 b (/.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 a c)) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 a b) #s(literal -4 binary64)))) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 a c)))) (*.f64 a a)) (/.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 a c)) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 a b) #s(literal -4 binary64)))) a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) #s(literal -2 binary64))) a) |
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(+ (* -1/2 (/ (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 1/2 binary64) (*.f64 b (/.f64 c a))) c) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))) |
(+ (* -1 (/ (+ (* 1/2 (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a)))) (* 1/2 (/ (+ (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a)))))))) c))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (/.f64 c a) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 1/2 binary64) (*.f64 b (/.f64 c a)))))) c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 1/2 binary64) (*.f64 b (/.f64 c a))))) (neg.f64 c))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a)))))))))))) (* -1/8 (/ (* (pow b 2) (* c (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) a))) c))) c)) (* 1/2 (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 1/2 binary64) (*.f64 b (/.f64 c a))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (/.f64 c a) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 1/2 binary64) (*.f64 b (/.f64 c a)))))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (/.f64 c a) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 1/2 binary64) (*.f64 b (/.f64 c a))))))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 1/2 binary64) (*.f64 b (/.f64 c a)))) a) #s(literal -1/8 binary64))) c))) (neg.f64 c))) (neg.f64 c))) |
(* -1 (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) b))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(*.f64 (neg.f64 c) (-.f64 (/.f64 (/.f64 b a) c) (/.f64 #s(literal 1 binary64) b))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 4 (/ a b))))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 a b) #s(literal 4 binary64) (/.f64 (neg.f64 b) c))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (/.f64 (*.f64 (neg.f64 b) b) c))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b))))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 a b) #s(literal 2 binary64) (/.f64 (neg.f64 b) c))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 337 |
| 0 | 94 | 324 |
| 1 | 366 | 310 |
| 2 | 2520 | 310 |
| 0 | 8234 | 310 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (+.f64 a a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(neg.f64 b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(/.f64 #s(literal 0 binary64) b) |
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 a)) (/.f64 #s(literal 0 binary64) b)) |
(fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))) |
(neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))) |
(/.f64 (neg.f64 c) (*.f64 b b)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b)) |
(*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(neg.f64 c) |
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b) |
(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))) |
(*.f64 a (/.f64 c b)) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a a #s(literal 0 binary64))) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a) a (*.f64 #s(literal 2 binary64) (/.f64 (neg.f64 b) #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a) (*.f64 #s(literal -2 binary64) a) (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 b)))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (neg.f64 b) a))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a) (*.f64 #s(literal -2 binary64) a) (*.f64 #s(literal 2 binary64) (neg.f64 b))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 2 binary64)) a (*.f64 a (/.f64 (neg.f64 b) #s(literal 2 binary64)))) (*.f64 a a)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a (neg.f64 (neg.f64 b)))) (*.f64 a (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 a (/.f64 (neg.f64 b) a))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a (neg.f64 b))) (*.f64 a (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) a (*.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (neg.f64 b) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) a) a)) |
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 (neg.f64 b)))) (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (neg.f64 b) a))) (*.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 b))) (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a (*.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (neg.f64 b) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) a) a)) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 (neg.f64 b)))) (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (neg.f64 b) a))) (*.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 b))) (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (/.f64 (neg.f64 b) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 a (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 b) #s(literal 2 binary64)) a (*.f64 a (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 2 binary64)))) (*.f64 a a)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 b) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) (*.f64 a (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (fma.f64 (/.f64 (neg.f64 b) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 b)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a))) (*.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 b)) a (*.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) a) a)) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 b)) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 b)) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (/.f64 (neg.f64 b) a) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 b) a) a (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 b) a) (*.f64 #s(literal -2 binary64) a) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (fma.f64 (/.f64 (neg.f64 b) a) (*.f64 #s(literal -2 binary64) a) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (fma.f64 (neg.f64 b) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a))) (*.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (neg.f64 b) a (*.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) a) a)) |
(/.f64 (fma.f64 (neg.f64 b) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64))) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b)) a) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) #s(literal 2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a)) #s(literal 2 binary64))) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (neg.f64 b) #s(literal 0 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64) (/.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (*.f64 #s(literal -2 binary64) a))) (+.f64 (pow.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a)) #s(literal 2 binary64)) (*.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a)))))) |
(/.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b)) #s(literal 2 binary64))) (neg.f64 a)) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b)))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (fma.f64 (neg.f64 b) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64))) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b)) #s(literal 2 binary64)) a) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (fma.f64 b b (+.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b))) (*.f64 #s(literal -2 binary64) a))) |
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#s(literal 0 binary64) |
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(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 (neg.f64 (neg.f64 b)) b)) |
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 (neg.f64 (neg.f64 b)) b)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 (neg.f64 b)) b)) |
(fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)) |
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 (neg.f64 (neg.f64 b)) b)) |
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (neg.f64 (*.f64 #s(literal 4 binary64) a)) c)) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (neg.f64 (*.f64 a c)) #s(literal 4 binary64))) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(fma.f64 b b (*.f64 (neg.f64 (*.f64 #s(literal 4 binary64) a)) c)) |
(fma.f64 b b (*.f64 (neg.f64 (*.f64 a c)) #s(literal 4 binary64))) |
(fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(sqrt.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b))) (/.f64 (pow.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 (neg.f64 b) b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 (neg.f64 b) b)))) |
(-.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64)) (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64)) (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))) |
(-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (neg.f64 b) b)) |
(-.f64 (*.f64 b b) (*.f64 (neg.f64 (*.f64 a c)) #s(literal -4 binary64))) |
(-.f64 (*.f64 b b) (*.f64 (neg.f64 a) (*.f64 c #s(literal -4 binary64)))) |
(-.f64 (*.f64 b b) (*.f64 (neg.f64 (*.f64 c #s(literal -4 binary64))) a)) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal 4 binary64))) |
(fabs.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b))))) |
(fabs.f64 (-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 (neg.f64 b) b))) (/.f64 (pow.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 (neg.f64 b) b))))) |
(fabs.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64)) (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64)) (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))) |
(fabs.f64 (-.f64 (*.f64 (neg.f64 (*.f64 a c)) #s(literal -4 binary64)) (*.f64 b b))) |
(fabs.f64 (-.f64 (*.f64 (neg.f64 a) (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) |
(fabs.f64 (-.f64 (*.f64 (neg.f64 (*.f64 c #s(literal -4 binary64))) a) (*.f64 b b))) |
(fabs.f64 (-.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64)) (*.f64 b b))) |
(fabs.f64 (-.f64 (*.f64 (neg.f64 b) b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
(fabs.f64 (neg.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) |
(fabs.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b)))))) |
(+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (neg.f64 (neg.f64 b)) b)) |
(+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) |
(+.f64 (*.f64 b b) (*.f64 (neg.f64 (*.f64 #s(literal 4 binary64) a)) c)) |
(+.f64 (*.f64 b b) (*.f64 (neg.f64 (*.f64 a c)) #s(literal 4 binary64))) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) |
(neg.f64 c) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64)) b)) (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64)) b) (*.f64 b b))) (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64)) b) (-.f64 (*.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64)) b))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64)) #s(literal 3 binary64)) (fma.f64 b (fma.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a b) (pow.f64 (*.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 b (fma.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a b) (pow.f64 (*.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64)) #s(literal 2 binary64))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (fma.f64 b (fma.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a b) (pow.f64 (*.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64)) #s(literal 2 binary64))) (fma.f64 b (fma.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a b) (pow.f64 (*.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 b b) (pow.f64 (*.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a b)) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 c b) a) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 b) b))) (neg.f64 (-.f64 (*.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64)) b))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 c b) #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) a) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (fma.f64 b (fma.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a b) (pow.f64 (*.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64)) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 c b) a) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 b) b)) (-.f64 (*.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64)) b)) |
(/.f64 (fma.f64 (pow.f64 (/.f64 c b) #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) a) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b b (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64)) b)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 c b) #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) a) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b (fma.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a b) (pow.f64 (*.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64)) #s(literal 2 binary64)))) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 b))) (sqrt.f64 (neg.f64 (neg.f64 b))) (*.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64))) |
(fma.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 (neg.f64 b)) (*.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64))) |
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (*.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64))) |
(fma.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a b) |
(fma.f64 (*.f64 #s(literal -2 binary64) (/.f64 c b)) a b) |
(fma.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64) b) |
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b) |
(fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b) |
(fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 c b) a) b) |
(fma.f64 a (*.f64 #s(literal -2 binary64) (/.f64 c b)) b) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64)) b)) (/.f64 (*.f64 b b) (-.f64 (*.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64)) b))) |
(-.f64 b (*.f64 (/.f64 (neg.f64 c) b) (*.f64 #s(literal -2 binary64) a))) |
(-.f64 b (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 c b) a))) |
(-.f64 b (*.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64)) #s(literal 3 binary64)) (fma.f64 b (fma.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a b) (pow.f64 (*.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (fma.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a b) (pow.f64 (*.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64)) b) |
(+.f64 b (*.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64))) |
(*.f64 (neg.f64 (pow.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)) #s(literal 1/4 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))))) (sqrt.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))))) |
(*.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)) #s(literal 1/4 binary64))) |
(pow.f64 (pow.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))) #s(literal 1 binary64)) |
(pow.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))) |
(fabs.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))))) |
(fabs.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))))) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))))) |
(exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))))) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (*.f64 (neg.f64 c) a) (neg.f64 b)) |
(/.f64 (*.f64 a (neg.f64 c)) (neg.f64 b)) |
(/.f64 (neg.f64 (*.f64 a c)) (neg.f64 b)) |
(/.f64 (*.f64 a c) b) |
Compiled 29 080 to 3 351 computations (88.5% saved)
23 alts after pruning (21 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 682 | 9 | 691 |
| Fresh | 1 | 12 | 13 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 687 | 23 | 710 |
| Status | Accuracy | Program |
|---|---|---|
| 32.4% | (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a))) | |
| ▶ | 20.7% | (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))) |
| 42.2% | (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a)) | |
| 21.4% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a))))) | |
| ✓ | 53.9% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (+.f64 a a)) |
| ▶ | 29.8% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
| 28.3% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64))) b)))) (*.f64 #s(literal 2 binary64) a)) | |
| 33.4% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) | |
| 12.9% | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) (+.f64 a a)) | |
| ▶ | 31.1% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (+.f64 a a)) |
| 31.1% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 45.8% | (*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) a) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 2 binary64))) |
| 20.6% | (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a a #s(literal 0 binary64))) | |
| 21.4% | (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a)))) | |
| ▶ | 12.8% | #s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 a)) #s(approx (/ 0 b) #s(literal 0 binary64))) |
| 17.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 c b) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (neg.f64 (-.f64 (*.f64 (/.f64 c (*.f64 (neg.f64 b) b)) b) (/.f64 b a))))) | |
| 33.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b)) | |
| 37.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)) | |
| ✓ | 38.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
| 32.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+.f64 (/.f64 (*.f64 c b) (*.f64 b b)) (/.f64 (neg.f64 b) a))) | |
| 37.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a))) | |
| 12.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 c b))) | |
| 37.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
Compiled 1 372 to 879 computations (35.9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 6 | (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))) | |
| cost-diff | 7 | (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) | |
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 0 | (*.f64 (/.f64 a b) #s(literal -2 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c) | |
| cost-diff | 0 | #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (+.f64 a a)) | |
| cost-diff | 0 | #s(approx (/ 0 b) #s(literal 0 binary64)) | |
| cost-diff | 0 | #s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 a)) #s(approx (/ 0 b) #s(literal 0 binary64))) | |
| cost-diff | 0 | (/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) a) | |
| cost-diff | 2 | (*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) a) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 2 binary64))) | |
| cost-diff | 7 | (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) | |
| cost-diff | 10 | (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 460 |
| 0 | 83 | 382 |
| 1 | 170 | 380 |
| 2 | 388 | 355 |
| 3 | 1644 | 333 |
| 4 | 7213 | 333 |
| 0 | 8319 | 333 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) a) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 2 binary64))) |
(/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) a) |
(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) |
(fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) |
(neg.f64 b) |
b |
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) |
(*.f64 a c) |
a |
c |
#s(literal -4 binary64) |
(*.f64 b b) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 2 binary64)) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) |
#s(literal 2 binary64) |
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 a)) #s(approx (/ 0 b) #s(literal 0 binary64))) |
#s(approx (/ 0 b) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (+.f64 a a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c) |
(*.f64 (/.f64 a b) #s(literal -2 binary64)) |
(/.f64 a b) |
a |
b |
#s(literal -2 binary64) |
c |
(+.f64 a a) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) |
(neg.f64 b) |
b |
(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) |
#s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
(*.f64 (*.f64 c a) #s(literal -4 binary64)) |
(*.f64 c a) |
c |
a |
#s(literal -4 binary64) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))) |
(fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) |
(neg.f64 b) |
b |
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) |
(*.f64 a c) |
a |
c |
#s(literal -4 binary64) |
(*.f64 b b) |
(*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) a) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 2 binary64))) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) a) #s(literal 1/2 binary64)) |
(/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) a) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) |
#s(literal 1 binary64) |
(fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(neg.f64 b) |
b |
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) |
(*.f64 a c) |
(*.f64 c a) |
a |
c |
#s(literal -4 binary64) |
(*.f64 b b) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 2 binary64)) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) #s(literal 1/2 binary64)) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) |
#s(literal 2 binary64) |
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 a)) #s(approx (/ 0 b) #s(literal 0 binary64))) |
#s(approx (/ 0 b) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (+.f64 a a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 a b)) c)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 a b)) c)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c) |
(*.f64 (*.f64 #s(literal -2 binary64) (/.f64 a b)) c) |
(*.f64 (/.f64 a b) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (/.f64 a b)) |
(/.f64 a b) |
a |
b |
#s(literal -2 binary64) |
c |
(+.f64 a a) |
(*.f64 #s(literal 2 binary64) a) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) |
(+.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (neg.f64 b)) |
(neg.f64 b) |
b |
(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) |
(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) |
#s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
#s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(*.f64 (*.f64 c a) #s(literal -4 binary64)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(*.f64 c a) |
c |
a |
#s(literal -4 binary64) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)) |
(fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(neg.f64 b) |
b |
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) |
(*.f64 a c) |
(*.f64 c a) |
a |
c |
#s(literal -4 binary64) |
(*.f64 b b) |
(*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 14.091308162228623 | (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) | |
| accuracy | 22.533496487358235 | (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))) | |
| accuracy | 24.07528211675048 | (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) | |
| accuracy | 42.44979586740578 | (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) | |
| accuracy | 2.733126593870242 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 15.692707499584403 | (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) | |
| accuracy | 24.07528211675048 | (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) | |
| accuracy | 42.873071018102195 | #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) | |
| accuracy | 0.0 | (*.f64 (/.f64 a b) #s(literal -2 binary64)) | |
| accuracy | 2.733126593870242 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (+.f64 a a)) | |
| accuracy | 5.0814687816774615 | (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c) | |
| accuracy | 39.87845663513082 | #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) | |
| accuracy | 0.0 | #s(approx (/ 0 b) #s(literal 0 binary64)) | |
| accuracy | 55.790183310918 | #s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 a)) #s(approx (/ 0 b) #s(literal 0 binary64))) | |
| accuracy | 15.692707499584403 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) | |
| accuracy | 15.742366318303647 | (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) | |
| accuracy | 24.07528211675048 | (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) | |
| accuracy | 42.44979586740578 | (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) |
| 77.0ms | 80× | 2 | valid |
| 61.0ms | 87× | 1 | valid |
| 44.0ms | 72× | 0 | valid |
| 19.0ms | 17× | 3 | valid |
Compiled 442 to 47 computations (89.4% saved)
ival-mult: 61.0ms (37.6% of total)adjust: 36.0ms (22.2% of total)ival-div: 27.0ms (16.6% of total)ival-add: 19.0ms (11.7% of total)ival-sqrt: 12.0ms (7.4% of total)ival-sub: 5.0ms (3.1% of total)exact: 1.0ms (0.6% of total)ival-neg: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) |
(fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) a) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 2 binary64))) |
(/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) a) |
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 a)) #s(approx (/ 0 b) #s(literal 0 binary64))) |
#s(approx (/ 0 b) #s(literal 0 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (+.f64 a a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c) |
(*.f64 (/.f64 a b) #s(literal -2 binary64)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) |
(neg.f64 b) |
(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) |
(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))) |
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) |
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) |
#s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) |
| Outputs |
|---|
1 |
(+ (* -1 (pow b 2)) (pow b 2)) |
(+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2))) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(/ 1 a) |
(* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))) |
(/ (+ (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* 1/2 (* a (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))))) a) |
(/ (+ (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* c (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow c 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5)))))) (* 1/2 (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)))))))) a) |
(/ (+ (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* a (+ (* 1/2 (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (pow c 2) (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 4))) (+ (* -1 (/ (* (pow c 3) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 7))) (/ (* c (+ (* -1 (/ (* c (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow c 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (* c (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow c 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5)))))))))) a) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* -2 (/ a b)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a)))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 1/2 (/ (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (pow a 2))) (* 1/2 (/ (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (pow a 2))) (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (sqrt -4)))) (* 1/2 (/ (* a (* (pow b 2) (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2))))) (pow a 3))) (* 1/2 (/ (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a))))) a) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) a)) (* 4 c)))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 (/ (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b)))) (* -1/2 (/ (+ (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b)))))))) a))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b)))))))))))) (* -1/8 (/ (* a (* (pow b 2) (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))) c))) a)) (* 1/2 (+ (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b)))))))))) a)) (* -1/2 (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))) a))) a)) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -1/2 (* b (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -1/2 (* b (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))) (* 2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -1/2 (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
0 |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -1 b) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(- (pow b 2) (* 4 (* a c))) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4))) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* 2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6)))))) b) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* 2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* 2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* 2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ 1 a)))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* 2 (/ (* a c) b)) |
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(+ (* -1/2 (* c (+ (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow b 3))) (* 2 (/ 1 b))))) (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b)))) |
(+ (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))) (* c (+ (* -1/2 (* c (+ (* -1/2 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))) (/ (* a (+ (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow b 3))) (* 2 (/ 1 b)))) (pow b 2))))) (* -1/2 (+ (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow b 3))) (* 2 (/ 1 b))))))) |
(+ (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))) (* c (+ (* -1/2 (+ (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow b 3))) (* 2 (/ 1 b)))) (* c (+ (* -1/2 (* c (+ (* -1 (/ (* (pow a 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 7))) (+ (/ (* a (+ (* -1/2 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))) (/ (* a (+ (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow b 3))) (* 2 (/ 1 b)))) (pow b 2)))) (pow b 2)) (/ (* (pow a 2) (+ (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow b 3))) (* 2 (/ 1 b)))) (pow b 4)))))) (* -1/2 (+ (* -1/2 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))) (/ (* a (+ (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow b 3))) (* 2 (/ 1 b)))) (pow b 2))))))))) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* c (+ (* -4 a) (+ (* -1 (/ (pow b 2) c)) (/ (pow b 2) c)))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 1/2 (/ (- (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (pow c 2))) (* 1/2 (/ (- (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (pow c 2))) (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4))))) (sqrt -4)))) (* 1/2 (/ (* (pow b 2) (* c (- (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))))) (* a (pow (sqrt -4) 2))))) (pow c 3))) (* 1/2 (/ (- (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) c)) (* 4 a)))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(+ (* -1/2 (/ (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* 1/2 (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a)))) (* 1/2 (/ (+ (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a)))))))) c))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a)))))))))))) (* -1/8 (/ (* (pow b 2) (* c (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) a))) c))) c)) (* 1/2 (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | c | @ | -inf | ((/ (+ (* (neg b) b) (+ (* (* a c) -4) (* b b))) (+ (* (neg b) b) (+ (* (* a c) -4) (* b b)))) (+ (* (neg b) b) (+ (* (* a c) -4) (* b b))) (* (/ (/ (+ (* (neg b) b) (+ (* (* a c) -4) (* b b))) (+ (* (neg b) b) (+ (* (* a c) -4) (* b b)))) a) (/ (- (sqrt (+ (* (* a c) -4) (* b b))) b) 2)) (/ (/ (+ (* (neg b) b) (+ (* (* a c) -4) (* b b))) (+ (* (neg b) b) (+ (* (* a c) -4) (* b b)))) a) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 a)) (/ 0 b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (+ a a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (* (/ a b) -2) c) (* (/ a b) -2) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c)))) (/ (+ (* (neg b) b) (+ (* (* a c) -4) (* b b))) (* (+ (sqrt (+ (* (* a c) -4) (* b b))) b) (* 2 a))) (+ (* (* a c) -4) (* b b)) (sqrt (+ (* (* a c) -4) (* b b))) (- (sqrt (+ (* (* a c) -4) (* b b))) b) (- (* b b) (* 4 (* a c))) (+ (sqrt (+ (* (* a c) -4) (* b b))) b)) |
| 2.0ms | b | @ | inf | ((/ (+ (* (neg b) b) (+ (* (* a c) -4) (* b b))) (+ (* (neg b) b) (+ (* (* a c) -4) (* b b)))) (+ (* (neg b) b) (+ (* (* a c) -4) (* b b))) (* (/ (/ (+ (* (neg b) b) (+ (* (* a c) -4) (* b b))) (+ (* (neg b) b) (+ (* (* a c) -4) (* b b)))) a) (/ (- (sqrt (+ (* (* a c) -4) (* b b))) b) 2)) (/ (/ (+ (* (neg b) b) (+ (* (* a c) -4) (* b b))) (+ (* (neg b) b) (+ (* (* a c) -4) (* b b)))) a) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 a)) (/ 0 b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (+ a a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (* (/ a b) -2) c) (* (/ a b) -2) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c)))) (/ (+ (* (neg b) b) (+ (* (* a c) -4) (* b b))) (* (+ (sqrt (+ (* (* a c) -4) (* b b))) b) (* 2 a))) (+ (* (* a c) -4) (* b b)) (sqrt (+ (* (* a c) -4) (* b b))) (- (sqrt (+ (* (* a c) -4) (* b b))) b) (- (* b b) (* 4 (* a c))) (+ (sqrt (+ (* (* a c) -4) (* b b))) b)) |
| 2.0ms | a | @ | -inf | ((/ (+ (* (neg b) b) (+ (* (* a c) -4) (* b b))) (+ (* (neg b) b) (+ (* (* a c) -4) (* b b)))) (+ (* (neg b) b) (+ (* (* a c) -4) (* b b))) (* (/ (/ (+ (* (neg b) b) (+ (* (* a c) -4) (* b b))) (+ (* (neg b) b) (+ (* (* a c) -4) (* b b)))) a) (/ (- (sqrt (+ (* (* a c) -4) (* b b))) b) 2)) (/ (/ (+ (* (neg b) b) (+ (* (* a c) -4) (* b b))) (+ (* (neg b) b) (+ (* (* a c) -4) (* b b)))) a) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 a)) (/ 0 b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (+ a a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (* (/ a b) -2) c) (* (/ a b) -2) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c)))) (/ (+ (* (neg b) b) (+ (* (* a c) -4) (* b b))) (* (+ (sqrt (+ (* (* a c) -4) (* b b))) b) (* 2 a))) (+ (* (* a c) -4) (* b b)) (sqrt (+ (* (* a c) -4) (* b b))) (- (sqrt (+ (* (* a c) -4) (* b b))) b) (- (* b b) (* 4 (* a c))) (+ (sqrt (+ (* (* a c) -4) (* b b))) b)) |
| 2.0ms | a | @ | 0 | ((/ (+ (* (neg b) b) (+ (* (* a c) -4) (* b b))) (+ (* (neg b) b) (+ (* (* a c) -4) (* b b)))) (+ (* (neg b) b) (+ (* (* a c) -4) (* b b))) (* (/ (/ (+ (* (neg b) b) (+ (* (* a c) -4) (* b b))) (+ (* (neg b) b) (+ (* (* a c) -4) (* b b)))) a) (/ (- (sqrt (+ (* (* a c) -4) (* b b))) b) 2)) (/ (/ (+ (* (neg b) b) (+ (* (* a c) -4) (* b b))) (+ (* (neg b) b) (+ (* (* a c) -4) (* b b)))) a) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 a)) (/ 0 b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (+ a a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (* (/ a b) -2) c) (* (/ a b) -2) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c)))) (/ (+ (* (neg b) b) (+ (* (* a c) -4) (* b b))) (* (+ (sqrt (+ (* (* a c) -4) (* b b))) b) (* 2 a))) (+ (* (* a c) -4) (* b b)) (sqrt (+ (* (* a c) -4) (* b b))) (- (sqrt (+ (* (* a c) -4) (* b b))) b) (- (* b b) (* 4 (* a c))) (+ (sqrt (+ (* (* a c) -4) (* b b))) b)) |
| 2.0ms | b | @ | -inf | ((/ (+ (* (neg b) b) (+ (* (* a c) -4) (* b b))) (+ (* (neg b) b) (+ (* (* a c) -4) (* b b)))) (+ (* (neg b) b) (+ (* (* a c) -4) (* b b))) (* (/ (/ (+ (* (neg b) b) (+ (* (* a c) -4) (* b b))) (+ (* (neg b) b) (+ (* (* a c) -4) (* b b)))) a) (/ (- (sqrt (+ (* (* a c) -4) (* b b))) b) 2)) (/ (/ (+ (* (neg b) b) (+ (* (* a c) -4) (* b b))) (+ (* (neg b) b) (+ (* (* a c) -4) (* b b)))) a) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 a)) (/ 0 b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (+ a a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (* (/ a b) -2) c) (* (/ a b) -2) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c)))) (/ (+ (* (neg b) b) (+ (* (* a c) -4) (* b b))) (* (+ (sqrt (+ (* (* a c) -4) (* b b))) b) (* 2 a))) (+ (* (* a c) -4) (* b b)) (sqrt (+ (* (* a c) -4) (* b b))) (- (sqrt (+ (* (* a c) -4) (* b b))) b) (- (* b b) (* 4 (* a c))) (+ (sqrt (+ (* (* a c) -4) (* b b))) b)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 945 | 6002 |
| 1 | 3566 | 5903 |
| 0 | 8132 | 5613 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ (* -1 (pow b 2)) (pow b 2)) |
(+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2))) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(/ 1 a) |
(* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))) |
(/ (+ (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* 1/2 (* a (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))))) a) |
(/ (+ (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* c (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow c 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5)))))) (* 1/2 (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)))))))) a) |
(/ (+ (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* a (+ (* 1/2 (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (pow c 2) (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 4))) (+ (* -1 (/ (* (pow c 3) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 7))) (/ (* c (+ (* -1 (/ (* c (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow c 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (* c (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow c 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5)))))))))) a) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* -2 (/ a b)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a)))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 1/2 (/ (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (pow a 2))) (* 1/2 (/ (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (pow a 2))) (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (sqrt -4)))) (* 1/2 (/ (* a (* (pow b 2) (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2))))) (pow a 3))) (* 1/2 (/ (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a))))) a) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) a)) (* 4 c)))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 (/ (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b)))) (* -1/2 (/ (+ (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b)))))))) a))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b)))))))))))) (* -1/8 (/ (* a (* (pow b 2) (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))) c))) a)) (* 1/2 (+ (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b)))))))))) a)) (* -1/2 (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))) a))) a)) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -1/2 (* b (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -1/2 (* b (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))) (* 2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -1/2 (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
0 |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -1 b) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(- (pow b 2) (* 4 (* a c))) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4))) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* 2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6)))))) b) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* 2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* 2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* 2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ 1 a)))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* 2 (/ (* a c) b)) |
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(+ (* -1/2 (* c (+ (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow b 3))) (* 2 (/ 1 b))))) (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b)))) |
(+ (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))) (* c (+ (* -1/2 (* c (+ (* -1/2 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))) (/ (* a (+ (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow b 3))) (* 2 (/ 1 b)))) (pow b 2))))) (* -1/2 (+ (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow b 3))) (* 2 (/ 1 b))))))) |
(+ (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))) (* c (+ (* -1/2 (+ (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow b 3))) (* 2 (/ 1 b)))) (* c (+ (* -1/2 (* c (+ (* -1 (/ (* (pow a 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 7))) (+ (/ (* a (+ (* -1/2 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))) (/ (* a (+ (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow b 3))) (* 2 (/ 1 b)))) (pow b 2)))) (pow b 2)) (/ (* (pow a 2) (+ (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow b 3))) (* 2 (/ 1 b)))) (pow b 4)))))) (* -1/2 (+ (* -1/2 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))) (/ (* a (+ (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow b 3))) (* 2 (/ 1 b)))) (pow b 2))))))))) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* c (+ (* -4 a) (+ (* -1 (/ (pow b 2) c)) (/ (pow b 2) c)))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 1/2 (/ (- (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (pow c 2))) (* 1/2 (/ (- (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (pow c 2))) (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4))))) (sqrt -4)))) (* 1/2 (/ (* (pow b 2) (* c (- (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))))) (* a (pow (sqrt -4) 2))))) (pow c 3))) (* 1/2 (/ (- (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) c)) (* 4 a)))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(+ (* -1/2 (/ (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* 1/2 (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a)))) (* 1/2 (/ (+ (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a)))))))) c))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a)))))))))))) (* -1/8 (/ (* (pow b 2) (* c (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) a))) c))) c)) (* 1/2 (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ (* -1 (pow b 2)) (pow b 2)) |
(*.f64 #s(literal 0 binary64) (*.f64 b b)) |
(+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2))) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 #s(literal 0 binary64) (*.f64 b b))) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal -2 binary64) (/.f64 (neg.f64 (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (neg.f64 (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))) |
(*.f64 (/.f64 #s(literal 1/4 binary64) a) (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) b)) |
(/ (+ (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* 1/2 (* a (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))))) a) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal -2 binary64) (/.f64 c b) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) c) (pow.f64 b #s(literal 3 binary64))))) (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) b) #s(literal 1/4 binary64))) a) |
(/ (+ (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* c (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow c 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5)))))) (* 1/2 (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)))))))) a) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (fma.f64 (neg.f64 c) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 c b) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) c) (pow.f64 b #s(literal 3 binary64))))) (*.f64 b b)) (*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 #s(literal 0 binary64) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64))) #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 c b) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) c) (pow.f64 b #s(literal 3 binary64))))) #s(literal 1/2 binary64))) a (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) b) #s(literal 1/4 binary64))) a) |
(/ (+ (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* a (+ (* 1/2 (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (pow c 2) (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 4))) (+ (* -1 (/ (* (pow c 3) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 7))) (/ (* c (+ (* -1 (/ (* c (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow c 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (* c (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow c 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5)))))))))) a) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 (neg.f64 (fma.f64 (*.f64 c c) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 c b) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) c) (pow.f64 b #s(literal 3 binary64))))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64))))) (*.f64 (/.f64 (fma.f64 (neg.f64 c) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 c b) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) c) (pow.f64 b #s(literal 3 binary64))))) (*.f64 b b)) (*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 #s(literal 0 binary64) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64))) #s(literal -1/2 binary64))) b) (/.f64 c b))) a (fma.f64 (neg.f64 c) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 c b) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) c) (pow.f64 b #s(literal 3 binary64))))) (*.f64 b b)) (*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 #s(literal 0 binary64) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64))) #s(literal -1/2 binary64))))) a (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 c b) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) c) (pow.f64 b #s(literal 3 binary64))))) #s(literal 1/2 binary64))) a (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) b) #s(literal 1/4 binary64))) a) |
(* -2 (/ (* a c) b)) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c b) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))))) a) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a) |
(* -2 (/ a b)) |
(*.f64 (/.f64 a b) #s(literal -2 binary64)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c b) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))))) a b) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a b) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
(* 2 b) |
(*.f64 #s(literal 2 binary64) b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) b)) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c b) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))))) a (*.f64 #s(literal 2 binary64) b)) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a (*.f64 #s(literal 2 binary64) b)) |
(* -4 (* a c)) |
(*.f64 (*.f64 c a) #s(literal -4 binary64)) |
(* a (+ (* -4 c) (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a)))) |
(*.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) a) (*.f64 #s(literal -4 binary64) c)) a) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64)) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64)))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/16 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64))))) |
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) #s(literal -2 binary64)) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 1/2 (/ (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a))) a) |
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 c a))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 a c)) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 a b) #s(literal -4 binary64)))) a) #s(literal 1/2 binary64))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (pow a 2))) (* 1/2 (/ (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)))) a) |
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 c a))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 (/.f64 b #s(literal -4 binary64)) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (*.f64 (*.f64 b (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 a c)) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 a b) #s(literal -4 binary64)))) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 a c)))) (*.f64 a a)) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 a c)) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 a b) #s(literal -4 binary64)))) a) #s(literal 1/2 binary64)))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (pow a 2))) (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (sqrt -4)))) (* 1/2 (/ (* a (* (pow b 2) (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2))))) (pow a 3))) (* 1/2 (/ (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a))))) a) |
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0 |
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(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/512 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64)))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (/.f64 (*.f64 (neg.f64 b) b) c))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(*.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (/.f64 (*.f64 (neg.f64 b) b) c))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64) (/.f64 (neg.f64 b) c))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) b) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) c) #s(literal -1 binary64) b) (neg.f64 c)))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 347 |
| 0 | 83 | 251 |
| 1 | 331 | 234 |
| 2 | 2038 | 234 |
| 0 | 8818 | 234 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) |
(fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) a) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 2 binary64))) |
(/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) a) |
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 a)) #s(approx (/ 0 b) #s(literal 0 binary64))) |
#s(approx (/ 0 b) #s(literal 0 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (+.f64 a a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c) |
(*.f64 (/.f64 a b) #s(literal -2 binary64)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) |
(neg.f64 b) |
(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) |
(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))) |
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) |
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) |
#s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) |
| Outputs |
|---|
#s(literal 1 binary64) |
(*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)) |
(*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 (neg.f64 b) b)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 (neg.f64 b) b)) (*.f64 b b)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (+.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (*.f64 b b)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (*.f64 (neg.f64 b) b)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 (neg.f64 b) b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 (neg.f64 b) b)) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 (neg.f64 b) b)) (*.f64 b b)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 b) b) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (*.f64 (neg.f64 b) b)) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 2 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 b) b) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (*.f64 (-.f64 (*.f64 (neg.f64 b) b) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 (neg.f64 b) b) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (-.f64 (*.f64 (neg.f64 b) b) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) |
(/.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (*.f64 (neg.f64 b) b)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (*.f64 (neg.f64 b) b)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (*.f64 (neg.f64 b) b)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (*.f64 (neg.f64 b) b)) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 2 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 (neg.f64 b) b)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 (neg.f64 b) b)) (*.f64 b b))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (+.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (*.f64 b b))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (*.f64 (neg.f64 b) b))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 (neg.f64 b) b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 (neg.f64 b) b)) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 (neg.f64 b) b)) (*.f64 b b))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (neg.f64 b) b) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 b) b) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (neg.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (*.f64 (neg.f64 b) b)) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 2 binary64))) (-.f64 (*.f64 (neg.f64 b) b) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 b) b) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (*.f64 (neg.f64 b) b)) (pow.f64 b #s(literal 4 binary64)))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 (neg.f64 b) b)) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (*.f64 b b)) |
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 (neg.f64 b) b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (*.f64 b b)) |
(fma.f64 (neg.f64 (neg.f64 (neg.f64 b))) (neg.f64 (neg.f64 (neg.f64 b))) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 (neg.f64 b) b))) |
(fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (*.f64 (neg.f64 b) b)) |
(fma.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (*.f64 (neg.f64 b) b)) |
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 (neg.f64 b) b))) |
(fma.f64 (pow.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal 1/2 binary64)) (*.f64 (neg.f64 b) b)) |
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) #s(literal 1 binary64)) (*.f64 (neg.f64 b) b)) |
(fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (*.f64 (neg.f64 b) b)) |
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 (neg.f64 b) b))) |
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 b) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (fma.f64 b b (*.f64 (neg.f64 b) b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 (neg.f64 b) b))) |
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 (neg.f64 b) b)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (fma.f64 b b (*.f64 (neg.f64 b) b))) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (fma.f64 b b (*.f64 (neg.f64 b) b))) |
(fma.f64 c (*.f64 #s(literal -4 binary64) a) (fma.f64 b b (*.f64 (neg.f64 b) b))) |
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (fma.f64 b b (*.f64 (neg.f64 b) b))) |
(fma.f64 (neg.f64 b) (neg.f64 (neg.f64 b)) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) |
(fma.f64 (neg.f64 b) (neg.f64 b) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 (neg.f64 b) b))) |
(fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) |
(fma.f64 b (neg.f64 b) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) |
(fma.f64 b b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 (neg.f64 b) b))) |
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(fma.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 (neg.f64 b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) |
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) |
(fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) b) |
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) b) |
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) #s(literal 1/2 binary64)) b) |
(fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64)) b) |
(-.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))))) |
(-.f64 (/.f64 (fma.f64 (neg.f64 b) b (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b))) |
(-.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 b) b) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)) (/.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 b) b) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b))) |
(-.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 (neg.f64 b) b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)) (/.f64 (*.f64 (neg.f64 b) b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b))) |
(-.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)) (/.f64 (-.f64 (*.f64 (neg.f64 b) b) (*.f64 (neg.f64 b) b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b))) |
(-.f64 (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)) (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a)) (*.f64 (neg.f64 b) b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b))) |
(-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)) (/.f64 (*.f64 (neg.f64 (neg.f64 b)) b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b))) |
(-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)) (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b))) |
(+.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) |
(+.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) |
Compiled 95 636 to 6 353 computations (93.4% saved)
22 alts after pruning (18 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 762 | 8 | 1 770 |
| Fresh | 6 | 10 | 16 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 771 | 22 | 1 793 |
| Status | Accuracy | Program |
|---|---|---|
| 11.8% | (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a (neg.f64 b))) (*.f64 a (*.f64 #s(literal -2 binary64) a))) | |
| 21.4% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a))))) | |
| ✓ | 53.9% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (+.f64 a a)) |
| ✓ | 29.8% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
| 28.3% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64))) b)))) (*.f64 #s(literal 2 binary64) a)) | |
| 33.4% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) | |
| 12.9% | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) (+.f64 a a)) | |
| 28.7% | (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (fma.f64 b b (*.f64 (neg.f64 b) b))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (fma.f64 b b (*.f64 (neg.f64 b) b))) a) #s(literal 2 binary64))) | |
| 36.6% | (/.f64 #s(approx (+ (* (neg b) b) (+ (* (* a c) -4) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))) | |
| 12.4% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 b)) c)) (+.f64 a a)) | |
| 31.1% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (+.f64 a a)) | |
| 23.3% | (*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) a) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (fma.f64 b b (*.f64 (neg.f64 b) b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)) #s(literal 2 binary64))) | |
| 20.6% | (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a a #s(literal 0 binary64))) | |
| 53.8% | (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) a)) | |
| ✓ | 12.8% | #s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 a)) #s(approx (/ 0 b) #s(literal 0 binary64))) |
| 17.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 c b) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (neg.f64 (-.f64 (*.f64 (/.f64 c (*.f64 (neg.f64 b) b)) b) (/.f64 b a))))) | |
| 33.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b)) | |
| 37.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)) | |
| ✓ | 38.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
| 37.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a))) | |
| 12.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 c b))) | |
| 37.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
Compiled 2 006 to 708 computations (64.7% saved)
| Inputs |
|---|
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 a)) #s(approx (/ 0 b) #s(literal 0 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 c b))) |
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 a)) (/.f64 #s(literal 0 binary64) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (+.f64 a a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (+.f64 a a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+.f64 (/.f64 (*.f64 c b) (*.f64 b b)) (/.f64 (neg.f64 b) a))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 b)) c)) (+.f64 a a)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) (+.f64 a a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (+.f64 a a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64))) b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (* (neg b) b) (+ (* (* a c) -4) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a (neg.f64 b))) (*.f64 a (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a b)) (*.f64 a (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a)))) |
(/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (fma.f64 b b (*.f64 (neg.f64 b) b))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (fma.f64 b b (*.f64 (neg.f64 b) b))) a) #s(literal 2 binary64))) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) a) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 2 binary64))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) a) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (fma.f64 b b (*.f64 (neg.f64 b) b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a a #s(literal 0 binary64))) |
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a a #s(literal 0 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a))))) |
(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) a) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 b (*.f64 #s(literal -2 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 c b) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (neg.f64 (-.f64 (*.f64 (/.f64 c (*.f64 (neg.f64 b) b)) b) (/.f64 b a))))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (+.f64 a a)) |
(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
4 calls:
| 14.0ms | c |
| 11.0ms | b |
| 11.0ms | a |
| 10.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.1% | 5 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| 55.5% | 2 | a |
| 88.3% | 4 | b |
| 53.9% | 1 | c |
Compiled 20 to 23 computations (-15% saved)
| Inputs |
|---|
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 a)) #s(approx (/ 0 b) #s(literal 0 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 c b))) |
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 a)) (/.f64 #s(literal 0 binary64) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (+.f64 a a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (+.f64 a a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+.f64 (/.f64 (*.f64 c b) (*.f64 b b)) (/.f64 (neg.f64 b) a))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 b)) c)) (+.f64 a a)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) (+.f64 a a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (+.f64 a a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64))) b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (* (neg b) b) (+ (* (* a c) -4) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (+.f64 a a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
1 calls:
| 8.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.4% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 a)) #s(approx (/ 0 b) #s(literal 0 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 c b))) |
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 a)) (/.f64 #s(literal 0 binary64) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (+.f64 a a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (+.f64 a a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+.f64 (/.f64 (*.f64 c b) (*.f64 b b)) (/.f64 (neg.f64 b) a))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 b)) c)) (+.f64 a a)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) (+.f64 a a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 2 binary64) a)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
1 calls:
| 5.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.0% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 a)) #s(approx (/ 0 b) #s(literal 0 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 c b))) |
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 a)) (/.f64 #s(literal 0 binary64) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (+.f64 a a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (+.f64 a a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+.f64 (/.f64 (*.f64 c b) (*.f64 b b)) (/.f64 (neg.f64 b) a))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 b)) c)) (+.f64 a a)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) (+.f64 a a)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
1 calls:
| 5.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.1% | 2 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 a)) #s(approx (/ 0 b) #s(literal 0 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 c b))) |
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 a)) (/.f64 #s(literal 0 binary64) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
1 calls:
| 2.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.1% | 2 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 a)) #s(approx (/ 0 b) #s(literal 0 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 c b))) |
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 a)) (/.f64 #s(literal 0 binary64) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 a)) #s(approx (/ 0 b) #s(literal 0 binary64))) |
4 calls:
| 2.0ms | a |
| 2.0ms | b |
| 2.0ms | c |
| 2.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.2% | 1 | c |
| 38.2% | 1 | a |
| 41.7% | 3 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| 48.1% | 2 | b |
Compiled 20 to 23 computations (-15% saved)
Total -0.6b remaining (-1.1%)
Threshold costs -0.6b (-1.1%)
| Inputs |
|---|
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 a)) #s(approx (/ 0 b) #s(literal 0 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 c b))) |
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 a)) (/.f64 #s(literal 0 binary64) b)) |
| Outputs |
|---|
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 a)) #s(approx (/ 0 b) #s(literal 0 binary64))) |
4 calls:
| 1.0ms | a |
| 1.0ms | b |
| 1.0ms | c |
| 1.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 12.8% | 1 | a |
| 12.8% | 1 | c |
| 12.8% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| 12.8% | 1 | b |
Compiled 20 to 23 computations (-15% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 37.0ms | 1.0509756476512393e+25 | 1.6459289654636058e+38 |
| 6.0ms | 1.5550165880670106e-71 | 1.683421187379822e-71 |
| 15.0ms | -1.918475235458485e+168 | -4.692014503633151e+164 |
| 18.0ms | 70× | 2 | valid |
| 15.0ms | 192× | 0 | valid |
| 8.0ms | 52× | 1 | valid |
| 2.0ms | 27× | 0 | invalid |
| 2.0ms | 6× | 3 | valid |
Compiled 1 008 to 774 computations (23.2% saved)
ival-mult: 11.0ms (32.4% of total)adjust: 6.0ms (17.7% of total)ival-add: 5.0ms (14.7% of total)ival-div: 4.0ms (11.8% of total)ival-sqrt: 4.0ms (11.8% of total)ival-sub: 3.0ms (8.8% of total)ival-neg: 2.0ms (5.9% 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 |
|---|---|---|
| 32.0ms | 4.540567290414798e-45 | 9.968050759476188e-28 |
| 1.0ms | -1.918475235458485e+168 | -4.692014503633151e+164 |
| 11.0ms | 48× | 2 | valid |
| 6.0ms | 75× | 0 | valid |
| 6.0ms | 37× | 1 | valid |
| 2.0ms | 29× | 0 | invalid |
Compiled 704 to 578 computations (17.9% saved)
ival-mult: 6.0ms (32.7% of total)adjust: 3.0ms (16.3% of total)ival-div: 2.0ms (10.9% of total)ival-sqrt: 2.0ms (10.9% of total)ival-sub: 1.0ms (5.4% of total)ival-add: 1.0ms (5.4% of total)ival-neg: 1.0ms (5.4% 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 |
|---|---|---|
| 29.0ms | 4.540567290414798e-45 | 9.968050759476188e-28 |
| 17.0ms | -3.8427451661921634e-86 | -1.1529975904870682e-88 |
| 15.0ms | 187× | 0 | valid |
| 9.0ms | 43× | 2 | valid |
| 7.0ms | 26× | 1 | valid |
| 4.0ms | 46× | 0 | invalid |
Compiled 966 to 750 computations (22.4% saved)
ival-mult: 9.0ms (34.3% of total)adjust: 6.0ms (22.9% of total)ival-div: 3.0ms (11.4% of total)ival-sqrt: 3.0ms (11.4% of total)ival-sub: 2.0ms (7.6% of total)ival-add: 2.0ms (7.6% of total)ival-neg: 1.0ms (3.8% 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 |
|---|---|---|
| 30.0ms | -3.658848641385401e-298 | 7.8141929737239185e-292 |
| 14.0ms | 176× | 0 | valid |
| 7.0ms | 94× | 0 | invalid |
Compiled 691 to 504 computations (27.1% saved)
ival-mult: 7.0ms (48.8% of total)ival-div: 2.0ms (13.9% of total)ival-sqrt: 2.0ms (13.9% of total)ival-add: 1.0ms (7% of total)ival-sub: 1.0ms (7% of total)ival-neg: 1.0ms (7% of total)adjust: 0.0ms (0% 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 |
|---|---|---|
| 34.0ms | 1.66662719612913e-222 | 2.885325884833087e-202 |
| 13.0ms | 160× | 0 | valid |
| 7.0ms | 92× | 0 | invalid |
| 3.0ms | 16× | 1 | valid |
Compiled 504 to 416 computations (17.5% saved)
ival-mult: 7.0ms (45.4% of total)ival-div: 2.0ms (13% of total)ival-sqrt: 2.0ms (13% of total)adjust: 1.0ms (6.5% of total)ival-add: 1.0ms (6.5% of total)ival-sub: 1.0ms (6.5% of total)ival-neg: 1.0ms (6.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 4.0100398547992e-136 | 1.9680805866869326e-133 |
| 11.0ms | 88× | 0 | valid |
| 5.0ms | 31× | 1 | valid |
| 3.0ms | 33× | 0 | invalid |
| 2.0ms | 9× | 2 | valid |
Compiled 492 to 348 computations (29.3% saved)
ival-div: 5.0ms (32% of total)ival-mult: 5.0ms (32% of total)adjust: 1.0ms (6.4% of total)ival-sub: 1.0ms (6.4% of total)ival-sqrt: 1.0ms (6.4% of total)ival-add: 1.0ms (6.4% of total)ival-neg: 1.0ms (6.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 477 |
| 1 | 160 | 472 |
| 2 | 350 | 450 |
| 3 | 1063 | 440 |
| 4 | 3151 | 436 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 b #s(literal -480000000000000021314699274673087502852341089461941386365380121065776547939962827698661207365780589299847182810761677724132052498202261200185868691396011130852737024 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 242445077749771/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (+.f64 a a)) (if (<=.f64 b #s(literal 82000000000000003319389097033728 binary64)) (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))))) |
(if (<=.f64 b #s(literal -480000000000000021314699274673087502852341089461941386365380121065776547939962827698661207365780589299847182810761677724132052498202261200185868691396011130852737024 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 4932568025991797/91343852333181432387730302044767688728495783936 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (+.f64 a a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b #s(literal -8958978968711217/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) (if (<=.f64 b #s(literal 6734599544820801/187072209578355573530071658587684226515959365500928 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))) |
(if (<=.f64 b #s(literal 691871614739731/406983302788077043095694079023514269845261128071039316430435657456301100941017582490321789603976702315852655675868728054558642679084433903830771243428395388555612645234009677640568743036609742720273743660637609984234054445646756670603264 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))) |
(if (<=.f64 b #s(literal 5892103094213055/13093562431584567480052758787310396608866568184172259157933165472384535185618698219533080369303616628603546736510240284036869026183541572213314110357504 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 a)) #s(approx (/ 0 b) #s(literal 0 binary64)))) |
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 a)) #s(approx (/ 0 b) #s(literal 0 binary64))) |
| Outputs |
|---|
(if (<=.f64 b #s(literal -480000000000000021314699274673087502852341089461941386365380121065776547939962827698661207365780589299847182810761677724132052498202261200185868691396011130852737024 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 242445077749771/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (+.f64 a a)) (if (<=.f64 b #s(literal 82000000000000003319389097033728 binary64)) (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))))) |
(if (<=.f64 b #s(literal -480000000000000021314699274673087502852341089461941386365380121065776547939962827698661207365780589299847182810761677724132052498202261200185868691396011130852737024 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 4932568025991797/91343852333181432387730302044767688728495783936 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (+.f64 a a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b #s(literal -8958978968711217/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) (if (<=.f64 b #s(literal 6734599544820801/187072209578355573530071658587684226515959365500928 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))) |
(if (<=.f64 b #s(literal 691871614739731/406983302788077043095694079023514269845261128071039316430435657456301100941017582490321789603976702315852655675868728054558642679084433903830771243428395388555612645234009677640568743036609742720273743660637609984234054445646756670603264 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))) |
(if (<=.f64 b #s(literal 5892103094213055/13093562431584567480052758787310396608866568184172259157933165472384535185618698219533080369303616628603546736510240284036869026183541572213314110357504 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 a)) #s(approx (/ 0 b) #s(literal 0 binary64)))) |
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 a)) #s(approx (/ 0 b) #s(literal 0 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1201 | 8214 |
| 1 | 4581 | 7360 |
| 0 | 8645 | 6970 |
| 0 | 545 | 2842 |
| 1 | 1916 | 2807 |
| 2 | 7910 | 2807 |
| 0 | 8090 | 2667 |
| 0 | 920 | 5418 |
| 1 | 3465 | 4976 |
| 0 | 8431 | 4736 |
| 0 | 14 | 51 |
| 0 | 23 | 51 |
| 1 | 74 | 51 |
| 2 | 504 | 50 |
| 3 | 6317 | 49 |
| 0 | 8274 | 45 |
| 0 | 45 | 304 |
| 0 | 75 | 299 |
| 1 | 275 | 273 |
| 2 | 1617 | 273 |
| 0 | 8402 | 273 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 481 to 98 computations (79.6% saved)
Compiled 1 206 to 280 computations (76.8% saved)
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