
Time bar (total: 7.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 40% | 37.4% | 56.2% | 0.1% | 0% | 6.2% | 0% | 7 |
| 48.3% | 45.2% | 48.4% | 0.1% | 0% | 6.2% | 0% | 8 |
| 53% | 48.4% | 42.9% | 0.1% | 0% | 8.6% | 0% | 9 |
| 58.1% | 50.3% | 36.3% | 0.1% | 0% | 13.3% | 0% | 10 |
| 66.1% | 56.8% | 29.1% | 0.1% | 0% | 14% | 0% | 11 |
| 70.4% | 58.8% | 24.7% | 0.1% | 0% | 16.4% | 0% | 12 |
Compiled 19 to 16 computations (15.8% saved)
| 465.0ms | 5 504× | 0 | valid |
| 239.0ms | 1 199× | 2 | valid |
| 234.0ms | 1 350× | 1 | valid |
| 88.0ms | 940× | 0 | invalid |
| 55.0ms | 203× | 3 | valid |
ival-mult: 298.0ms (37.7% of total)ival-sqrt: 105.0ms (13.3% of total)ival-div: 93.0ms (11.8% of total)adjust: 83.0ms (10.5% of total)ival-sub: 74.0ms (9.4% of total)ival-add: 66.0ms (8.3% of total)ival-neg: 52.0ms (6.6% of total)exact: 9.0ms (1.1% of total)ival-true: 7.0ms (0.9% of total)ival-assert: 4.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 97 | 0 | - | 0 | - | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) |
| 74 | 0 | - | 0 | - | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
| 16 | 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)) |
| 2 | 0 | - | 0 | - | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) |
| 0 | 0 | - | 0 | - | a |
| 0 | 1 | (-3.0479563485345502e-205 -4.3622838134186904e-74 7.039524099676486e-120) | 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 | 90 | 0 |
| ↳ | (*.f64 b b) | overflow | 74 | |
| ↳ | (*.f64 #s(literal 4 binary64) (*.f64 a c)) | overflow | 21 | |
| ↳ | (*.f64 a c) | overflow | 21 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) | overflow | 90 | |
+.f64 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) | cancellation | 74 | 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 | 16 | 0 |
| ↳ | (*.f64 b b) | underflow | 40 | |
| ↳ | (*.f64 #s(literal 4 binary64) (*.f64 a c)) | underflow | 42 | |
| ↳ | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) | underflow | 31 | |
| ↳ | (*.f64 a c) | underflow | 43 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) | underflow | 7 | |
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) | uflow-rescue | 7 | 0 |
| ↳ | (*.f64 b b) | underflow | 40 | |
| ↳ | (*.f64 #s(literal 4 binary64) (*.f64 a c)) | underflow | 42 | |
| ↳ | (*.f64 a c) | underflow | 43 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) | underflow | 7 | |
-.f64 | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) | nan-rescue | 2 | 0 |
| ↳ | (*.f64 b b) | overflow | 74 | |
| ↳ | (*.f64 #s(literal 4 binary64) (*.f64 a c)) | overflow | 21 | |
| ↳ | (*.f64 a c) | overflow | 21 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 135 | 0 |
| - | 16 | 105 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 135 | 0 | 0 |
| - | 16 | 0 | 105 |
| number | freq |
|---|---|
| 0 | 105 |
| 1 | 114 |
| 2 | 36 |
| 3 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 28.0ms | 98× | 2 | valid |
| 28.0ms | 304× | 0 | valid |
| 16.0ms | 100× | 1 | valid |
| 3.0ms | 10× | 3 | valid |
Compiled 161 to 46 computations (71.4% saved)
ival-mult: 13.0ms (26.4% of total)adjust: 12.0ms (24.4% of total)ival-sqrt: 7.0ms (14.2% of total)ival-div: 6.0ms (12.2% of total)ival-sub: 4.0ms (8.1% of total)ival-add: 4.0ms (8.1% of total)ival-neg: 2.0ms (4.1% of total)exact: 1.0ms (2% 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 |
|---|---|---|
| ▶ | 49.4% | (/.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 | 0.39843750000000006 | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) | |
| accuracy | 3.89885723779515 | (/.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 | 17.22502824708395 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) | |
| accuracy | 22.582096297476372 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) |
| 16.0ms | 50× | 1 | valid |
| 14.0ms | 152× | 0 | valid |
| 11.0ms | 49× | 2 | valid |
| 1.0ms | 5× | 3 | valid |
Compiled 72 to 16 computations (77.8% saved)
ival-add: 9.0ms (30.9% of total)ival-mult: 6.0ms (20.6% of total)adjust: 4.0ms (13.7% of total)ival-div: 3.0ms (10.3% of total)ival-sqrt: 3.0ms (10.3% of total)ival-sub: 2.0ms (6.9% 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 | |
|---|---|---|---|---|
| 3.0ms | 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 | 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 | 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)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 399 | 13 | 412 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 400 | 13 | 413 |
| Status | Accuracy | Program |
|---|---|---|
| 46.8% | (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))) | |
| 21.3% | (/.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)))) | |
| 31.8% | (/.f64 (fma.f64 b a (*.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) a) a)) | |
| ▶ | 24.7% | (/.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)) |
| ▶ | 49.4% | (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
| 28.5% | (/.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 b b)))) (*.f64 #s(literal 2 binary64) a)) | |
| 32.9% | (/.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)) | |
| 31.3% | (*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)))) | |
| ▶ | 36.9% | #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)) |
| 42.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)) | |
| ▶ | 31.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
| ▶ | 31.9% | #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 722 to 440 computations (39.1% 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 c c) b) (/.f64 a b) c) | |
| cost-diff | 0 | (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) | |
| cost-diff | 0 | (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b) | |
| cost-diff | 0 | #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)) | |
| 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 | (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 | (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) | |
| cost-diff | 0 | (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) | |
| cost-diff | 0 | (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 344 |
| 0 | 73 | 341 |
| 1 | 148 | 341 |
| 2 | 387 | 320 |
| 3 | 1333 | 306 |
| 4 | 4629 | 306 |
| 0 | 8053 | 306 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
(-.f64 b (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))) |
(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 #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 |
#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 |
#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 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b) |
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) |
(fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) |
(/.f64 (*.f64 c c) b) |
(*.f64 c c) |
c |
b |
(/.f64 a b) |
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 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) |
(-.f64 b (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))) |
(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 #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 |
#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 c b) (/.f64 (neg.f64 b) a))) |
(neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))) |
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a)) |
(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 (/.f64 c b) (neg.f64 b)) |
(neg.f64 c) |
c |
(*.f64 b b) |
b |
(/.f64 b 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)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (fma.f64 (/.f64 (/.f64 a b) b) c #s(literal 1 binary64)) (/.f64 (neg.f64 c) b))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b) |
(*.f64 (fma.f64 (/.f64 (/.f64 a b) b) c #s(literal 1 binary64)) (/.f64 (neg.f64 c) b)) |
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) |
(*.f64 (fma.f64 (/.f64 (/.f64 a b) b) c #s(literal 1 binary64)) (neg.f64 c)) |
(fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) |
(fma.f64 (/.f64 a b) (/.f64 (*.f64 c c) b) c) |
(/.f64 (*.f64 c c) b) |
(*.f64 c c) |
c |
b |
(/.f64 a b) |
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 c #s(literal -4 binary64)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.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 | 12.584254531853224 | (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) | |
| accuracy | 13.563904173835642 | (/.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 | 22.582096297476372 | (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) | |
| accuracy | 41.658236773572476 | (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) | |
| accuracy | 0.26626646142772303 | (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b) | |
| accuracy | 3.041695657426102 | (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) | |
| accuracy | 8.589537593334006 | (/.f64 (*.f64 c c) b) | |
| accuracy | 36.87954382207893 | #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)) | |
| accuracy | 0.0 | (neg.f64 c) | |
| accuracy | 4.261669084098629 | (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)) | |
| accuracy | 7.093610917530581 | (/.f64 (neg.f64 c) (*.f64 b b)) | |
| accuracy | 43.51292329425057 | #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 (neg.f64 b) a) | |
| accuracy | 0.0 | (neg.f64 b) | |
| accuracy | 43.64408551081589 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) | |
| accuracy | 0.39843750000000006 | (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) | |
| accuracy | 3.89885723779515 | (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) | |
| accuracy | 17.22502824708395 | (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) | |
| accuracy | 22.582096297476372 | (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
| 83.0ms | 86× | 2 | valid |
| 45.0ms | 82× | 1 | valid |
| 21.0ms | 78× | 0 | valid |
| 8.0ms | 10× | 3 | valid |
Compiled 334 to 44 computations (86.8% saved)
ival-mult: 46.0ms (40.1% of total)ival-div: 23.0ms (20% of total)adjust: 16.0ms (13.9% of total)ival-add: 12.0ms (10.5% of total)ival-sqrt: 7.0ms (6.1% of total)ival-sub: 5.0ms (4.4% of total)ival-neg: 5.0ms (4.4% of total)exact: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
(-.f64 b (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))) |
(fma.f64 #s(literal -4 binary64) (*.f64 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) |
(neg.f64 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)) |
#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 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b) |
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) |
(fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) |
(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)) |
(neg.f64 c) |
(/.f64 (*.f64 c c) 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 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) |
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) |
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c 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)) |
(* -1 (/ b a)) |
(/ b a) |
(/ (+ b (* -1 (/ (* a c) b))) a) |
(/ (- (/ (* a c) b) b) a) |
(* -1 c) |
(- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) |
c |
(+ c (/ (* a (pow c 2)) (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)))))) |
(* 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)))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* 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)))))) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(+ (* -1 (/ c b)) (/ b a)) |
(/ c b) |
(- (* -1 (/ b a)) (* -1 (/ c b))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))) |
(* -1 (/ (* a (pow c 2)) (pow b 2))) |
(* a (- (* -1 (/ c a)) (/ (pow c 2) (pow b 2)))) |
(/ (* a (pow c 2)) (pow b 2)) |
(* a (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(* 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 (+ (* (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 (- (* -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)))))) |
(* -2 (* (sqrt (* a c)) (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 (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))) |
(* -1 (* a (- (/ c a) (* -1 (/ (pow c 2) (pow b 2)))))) |
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2)))))) |
(* -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)) |
(+ (* -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 (/ 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))))) |
(- 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))) |
(+ (* 1/2 (* (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))))))))) |
(* -1 b) |
(/ (+ (* -1 c) (/ (pow b 2) a)) b) |
(/ (- (* -1 (/ (pow b 2) a)) (* -1 c)) b) |
(* -1 (/ c (pow b 2))) |
(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3)) |
(/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 2)) |
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (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)))))) |
(/ (pow c 2) b) |
(+ 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 2)) (pow b 2))) (* -2 (* a c))) 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) |
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) 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 (+ (* -1 (/ c (pow b 2))) (/ 1 a))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(/ (+ (* -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) 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))) (* 4 (/ (+ (* -2 (* (pow a 4) (pow c 4))) (* -1/2 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* 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 (/ (* a c) (pow b 2))) 2))) |
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -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 (- (/ c (pow b 2)) (/ 1 a)))) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -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))) (* 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 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) |
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a 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 b) (/ b a)) |
(* c (- (* -1 (/ (* a c) (pow b 2))) 1)) |
(* c (+ 1 (/ (* a c) (pow b 2)))) |
(+ (* -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 (- (/ b c) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* 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 (- (/ b (* a c)) (/ 1 b))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))) |
(* -1 (* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))) |
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))) |
(* 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 (+ (* (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 (- (* -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)))))) |
(* -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 (/ b (* a c))) (/ 1 b)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -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 (/ 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 | |
|---|---|---|---|---|
| 21.0ms | a | @ | 0 | ((/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (neg b) (+ (* (/ (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 (+ (* (/ (* c c) b) (/ a b)) c)) b) (neg (+ (* (/ (* c c) b) (/ a b)) c)) (+ (* (/ (* c c) b) (/ a b)) c) (+ (* (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)) (neg c) (/ (* c c) b) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) |
| 10.0ms | b | @ | -inf | ((/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (neg b) (+ (* (/ (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 (+ (* (/ (* c c) b) (/ a b)) c)) b) (neg (+ (* (/ (* c c) b) (/ a b)) c)) (+ (* (/ (* c c) b) (/ a b)) c) (+ (* (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)) (neg c) (/ (* c c) b) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) |
| 9.0ms | c | @ | inf | ((/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (neg b) (+ (* (/ (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 (+ (* (/ (* c c) b) (/ a b)) c)) b) (neg (+ (* (/ (* c c) b) (/ a b)) c)) (+ (* (/ (* c c) b) (/ a b)) c) (+ (* (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)) (neg c) (/ (* c c) b) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) |
| 7.0ms | b | @ | inf | ((/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (neg b) (+ (* (/ (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 (+ (* (/ (* c c) b) (/ a b)) c)) b) (neg (+ (* (/ (* c c) b) (/ a b)) c)) (+ (* (/ (* c c) b) (/ a b)) c) (+ (* (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)) (neg c) (/ (* c c) b) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) |
| 7.0ms | c | @ | -inf | ((/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (neg b) (+ (* (/ (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 (+ (* (/ (* c c) b) (/ a b)) c)) b) (neg (+ (* (/ (* c c) b) (/ a b)) c)) (+ (* (/ (* c c) b) (/ a b)) c) (+ (* (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)) (neg c) (/ (* c c) b) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1281 | 8536 |
| 1 | 4755 | 7688 |
| 0 | 8416 | 7306 |
| 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 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) |
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) |
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c 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)) |
(* -1 (/ b a)) |
(/ b a) |
(/ (+ b (* -1 (/ (* a c) b))) a) |
(/ (- (/ (* a c) b) b) a) |
(* -1 c) |
(- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) |
c |
(+ c (/ (* a (pow c 2)) (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)))))) |
(* 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)))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* 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)))))) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(+ (* -1 (/ c b)) (/ b a)) |
(/ c b) |
(- (* -1 (/ b a)) (* -1 (/ c b))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))) |
(* -1 (/ (* a (pow c 2)) (pow b 2))) |
(* a (- (* -1 (/ c a)) (/ (pow c 2) (pow b 2)))) |
(/ (* a (pow c 2)) (pow b 2)) |
(* a (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(* 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 (+ (* (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 (- (* -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)))))) |
(* -2 (* (sqrt (* a c)) (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 (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))) |
(* -1 (* a (- (/ c a) (* -1 (/ (pow c 2) (pow b 2)))))) |
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2)))))) |
(* -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)) |
(+ (* -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 (/ 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))))) |
(- 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))) |
(+ (* 1/2 (* (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))))))))) |
(* -1 b) |
(/ (+ (* -1 c) (/ (pow b 2) a)) b) |
(/ (- (* -1 (/ (pow b 2) a)) (* -1 c)) b) |
(* -1 (/ c (pow b 2))) |
(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3)) |
(/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 2)) |
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (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)))))) |
(/ (pow c 2) b) |
(+ 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 2)) (pow b 2))) (* -2 (* a c))) 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) |
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) 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 (+ (* -1 (/ c (pow b 2))) (/ 1 a))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(/ (+ (* -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) 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))) (* 4 (/ (+ (* -2 (* (pow a 4) (pow c 4))) (* -1/2 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* 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 (/ (* a c) (pow b 2))) 2))) |
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -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 (- (/ c (pow b 2)) (/ 1 a)))) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -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))) (* 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 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) |
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a 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 b) (/ b a)) |
(* c (- (* -1 (/ (* a c) (pow b 2))) 1)) |
(* c (+ 1 (/ (* a c) (pow b 2)))) |
(+ (* -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 (- (/ b c) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* 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 (- (/ b (* a c)) (/ 1 b))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))) |
(* -1 (* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))) |
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))) |
(* 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 (+ (* (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 (- (* -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)))))) |
(* -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 (/ b (* a c))) (/ 1 b)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -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 (/ 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 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) |
(*.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 (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (*.f64 #s(literal 2 binary64) (/.f64 c b))) a) |
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c 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 #s(literal 4 binary64) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))))) a (*.f64 #s(literal 2 binary64) (/.f64 (*.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) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) |
(* -1 (/ b a)) |
(/.f64 (neg.f64 b) a) |
(/ b a) |
(/.f64 b a) |
(/ (+ b (* -1 (/ (* a c) b))) a) |
(/.f64 (-.f64 b (*.f64 a (/.f64 c b))) a) |
(/ (- (/ (* a c) b) b) a) |
(/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a) |
(* -1 c) |
(neg.f64 c) |
(- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) |
(-.f64 (*.f64 (/.f64 (neg.f64 a) b) (/.f64 (*.f64 c c) b)) c) |
c |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(fma.f64 (/.f64 a b) (/.f64 (*.f64 c c) b) c) |
(+ (* -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 (+.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 (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))) 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 #s(literal -2 binary64) (/.f64 c b) (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)))) (*.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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(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b c))) 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))))) |
(*.f64 (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 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b c)))) c) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal 1/2 binary64) c) (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))))) |
(* -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))))) |
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) (neg.f64 c)))) |
(* -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))))) |
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 #s(literal -1/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 c))) (neg.f64 c)))) |
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (-.f64 (/.f64 (neg.f64 b) c) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64)))) |
(* -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 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) b) c) #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a 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 (-.f64 b (/.f64 (fma.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))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))))) c)) c) #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))) |
(* -1 (* c (+ (* 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 (*.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)))) (+ (* 1/4 (* (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 (*.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 (/ 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 (/ (+ (* -1 (pow b 2)) (pow b 2)) c)) (* 4 a)))) |
(*.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a #s(literal 0 binary64))) |
(+ (* -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 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 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 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 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 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 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 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 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 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 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 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 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 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 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 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 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 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64) (*.f64 c b))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))))) (*.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 #s(literal 1 binary64) (*.f64 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 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64) (*.f64 c b)))))) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 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 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64) (*.f64 c b)))))) c) #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64) (*.f64 c b))) (neg.f64 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 #s(literal 1 binary64) (*.f64 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 -1/64 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))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) c)) (neg.f64 c)))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 277 |
| 0 | 73 | 274 |
| 1 | 271 | 248 |
| 2 | 2039 | 248 |
| 0 | 8588 | 248 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
(-.f64 b (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))) |
(fma.f64 #s(literal -4 binary64) (*.f64 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) |
(neg.f64 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)) |
#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 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b) |
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) |
(fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) |
(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)) |
(neg.f64 c) |
(/.f64 (*.f64 c c) b) |
(+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) |
| Outputs |
|---|
(/.f64 (neg.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) a)) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) #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 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) #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 (/.f64 b a) #s(literal -2 binary64)) #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 (/.f64 b a) #s(literal -2 binary64)) (/.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 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) #s(literal -2 binary64)))) (neg.f64 (neg.f64 a))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.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 (*.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 (-.f64 (*.f64 (/.f64 b #s(literal -2 binary64)) #s(literal -2 binary64)) (*.f64 a (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) a))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (-.f64 (*.f64 (/.f64 b #s(literal -2 binary64)) a) (*.f64 a (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) #s(literal -2 binary64)))) (*.f64 a a)) |
(/.f64 (-.f64 (*.f64 (/.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 a (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))) (*.f64 a (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (-.f64 (*.f64 (/.f64 b #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) a)) (*.f64 a (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))) (*.f64 a (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (-.f64 (*.f64 (/.f64 b a) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) a))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 b a) a) (*.f64 #s(literal -2 binary64) (/.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 (-.f64 (*.f64 (/.f64 b a) (*.f64 #s(literal 2 binary64) a)) (*.f64 #s(literal -2 binary64) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (-.f64 (*.f64 (/.f64 b a) (*.f64 #s(literal -2 binary64) a)) (*.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b) a) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) a))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b) a) a) (*.f64 #s(literal 2 binary64) (/.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 (-.f64 (*.f64 (/.f64 (neg.f64 b) a) (*.f64 #s(literal 2 binary64) a)) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b) a) (*.f64 #s(literal -2 binary64) a)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (-.f64 (*.f64 (neg.f64 b) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) a))) (*.f64 (*.f64 #s(literal 2 binary64) a) #s(literal -2 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 b) a) (*.f64 (*.f64 #s(literal 2 binary64) a) (/.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) a)) |
(/.f64 (-.f64 (*.f64 (neg.f64 b) (*.f64 #s(literal 2 binary64) a)) (*.f64 (*.f64 #s(literal 2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))) (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.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))))) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (-.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) a))) (*.f64 (*.f64 #s(literal -2 binary64) a) #s(literal -2 binary64))) |
(/.f64 (-.f64 (*.f64 b a) (*.f64 (*.f64 #s(literal -2 binary64) a) (/.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) a)) |
(/.f64 (-.f64 (*.f64 b (*.f64 #s(literal 2 binary64) a)) (*.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))) (*.f64 (*.f64 #s(literal -2 binary64) a) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (-.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) a) #s(literal -2 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) #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))) (/.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 (pow.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) #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))) (+.f64 (pow.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) #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 (/.f64 b a) #s(literal -2 binary64)) (/.f64 (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 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64)))) (neg.f64 (*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)))) |
(/.f64 (neg.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) #s(literal -2 binary64))) (neg.f64 a)) |
(/.f64 (neg.f64 (neg.f64 (-.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 (*.f64 b b) (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (neg.f64 (*.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 (*.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))))) (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64))) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) #s(literal -2 binary64)) a) |
(/.f64 (-.f64 (*.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 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64))) (*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (neg.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 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
(neg.f64 (/.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 (pow.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) #s(literal 2 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 (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 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) #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 (/.f64 b a) #s(literal -2 binary64)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a)))))) (/.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)) (+.f64 (pow.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) #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 (/.f64 b a) #s(literal -2 binary64)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a))))))) |
(-.f64 (/.f64 (*.f64 b (*.f64 #s(literal -2 binary64) a)) (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (*.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 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 (pow.f64 b #s(literal 3 binary64)) (*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a))) (/.f64 (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))) (*.f64 #s(literal -2 binary64) a)) (/.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))) (*.f64 #s(literal -2 binary64) a))) |
(-.f64 (/.f64 (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) (*.f64 #s(literal -2 binary64) a)) (/.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 #s(literal -2 binary64) a))) |
(-.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a))) |
(*.f64 (/.f64 (-.f64 (*.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 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) |
(*.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (+.f64 (pow.f64 b #s(literal 3 binary64)) (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 (neg.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))) (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))) (*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64)))) (*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 b b) (neg.f64 (+.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))) b) (neg.f64 (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) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)))) |
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(/.f64 (neg.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (neg.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64)))) (neg.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))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64)))) (neg.f64 (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) (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 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64))) (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 (pow.f64 b #s(literal 3 binary64)) (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 (fma.f64 b b (neg.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))) |
(/.f64 (fma.f64 (neg.f64 b) b (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 (neg.f64 (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal 1/4 binary64))) b) |
(fma.f64 (fabs.f64 (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal 1/4 binary64))) b) |
(fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))) b) |
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) b) |
(fma.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 (neg.f64 b)) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) |
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) |
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) #s(literal 1/2 binary64)) b) |
(fma.f64 (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal 1/4 binary64)) b) |
(-.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.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 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 #s(literal 4 binary64) (*.f64 a c)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))) |
(-.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 b) b) (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 (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 b) b) (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 (fma.f64 (neg.f64 b) b (*.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 (neg.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 (-.f64 (*.f64 (neg.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 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)) (*.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) (-.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 3/2 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 (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 51 712 to 4 918 computations (90.5% saved)
21 alts after pruning (18 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 085 | 14 | 1 099 |
| Fresh | 4 | 4 | 8 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 091 | 21 | 1 112 |
| Status | Accuracy | Program |
|---|---|---|
| 46.8% | (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))) | |
| 21.3% | (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (*.f64 (*.f64 #s(literal 2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))) | |
| 31.8% | (/.f64 (fma.f64 b a (*.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) a) a)) | |
| ▶ | 47.0% | (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) #s(literal 0 binary64))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | 49.4% | (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
| ▶ | 35.0% | (/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 b b))))) (*.f64 #s(literal -2 binary64) a)) |
| 28.5% | (/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 #s(literal -2 binary64) a)) | |
| ▶ | 36.7% | (/.f64 #s(approx (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) a)) |
| 32.9% | (/.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)) | |
| 31.3% | (*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)))) | |
| 11.2% | #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)) | |
| 42.6% | #s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 c) b)) | |
| ✓ | 36.9% | #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)) |
| 37.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 #s(approx (+ (* (/ (* c c) b) (/ a b)) c) (*.f64 (fma.f64 (/.f64 c b) (/.f64 c b) (/.f64 c a)) a))) b)) | |
| ✓ | 31.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
| 40.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(approx (neg (+ (* (/ (* c c) b) (/ a b)) c)) (*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) c)) b)) | |
| 31.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (fma.f64 (neg.f64 c) (/.f64 b (*.f64 b b)) (/.f64 b a)))) | |
| ▶ | 32.0% | #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))) |
| ▶ | 10.8% | #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))) |
| 32.0% | #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)))) | |
| 31.8% | #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 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b))) |
Compiled 1 330 to 816 computations (38.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 b b)))) | |
| cost-diff | 0 | (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 b b))))) | |
| cost-diff | 0 | (/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 b b))))) (*.f64 #s(literal -2 binary64) a)) | |
| cost-diff | 6 | (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 b b)) | |
| cost-diff | 0 | (*.f64 a (/.f64 c b)) | |
| cost-diff | 0 | (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 0 | (-.f64 (*.f64 a (/.f64 c b)) b) | |
| cost-diff | 0 | #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)) | |
| cost-diff | 0 | #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))) | |
| cost-diff | 2 | (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a) | |
| cost-diff | 0 | (/.f64 c b) | |
| cost-diff | 0 | #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 c b)) | |
| cost-diff | 0 | #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))) | |
| cost-diff | 0 | #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) #s(literal 0 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) #s(literal 0 binary64))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) #s(literal 0 binary64))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 1 | (fma.f64 #s(literal -4 binary64) (*.f64 a c) #s(literal 0 binary64)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 532 |
| 0 | 92 | 520 |
| 1 | 174 | 511 |
| 2 | 433 | 468 |
| 3 | 1450 | 430 |
| 4 | 6765 | 430 |
| 0 | 8302 | 430 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) #s(literal 0 binary64))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) #s(literal 0 binary64))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) |
#s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) #s(literal 0 binary64))) |
(fma.f64 #s(literal -4 binary64) (*.f64 a c) #s(literal 0 binary64)) |
#s(literal -4 binary64) |
(*.f64 a c) |
a |
c |
#s(literal 0 binary64) |
(+.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))) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(*.f64 c a) |
(*.f64 b b) |
b |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 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 (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 c b)) |
(/.f64 c b) |
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 (*.f64 a (/.f64 c b)) b) a))) |
#s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)) |
(/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a) |
(-.f64 (*.f64 a (/.f64 c b)) b) |
(*.f64 a (/.f64 c b)) |
a |
(/.f64 c b) |
c |
b |
(/.f64 #s(approx (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) |
(*.f64 a (/.f64 c b)) |
a |
(/.f64 c b) |
c |
b |
#s(literal -2 binary64) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 b b))))) (*.f64 #s(literal -2 binary64) a)) |
(-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 b b))))) |
b |
(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 b b)))) |
#s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 b b))) |
(*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 b b)) |
(fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
a |
(/.f64 c (*.f64 b b)) |
c |
(*.f64 b b) |
#s(literal -4 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(literal -2 binary64) a) |
#s(literal -2 binary64) |
| Outputs |
|---|
(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) #s(literal 0 binary64))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 #s(literal 2 binary64) a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))) b)) |
(/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) #s(literal 0 binary64))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) |
(/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))) b)) |
#s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) #s(literal 0 binary64))) |
#s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 a c) #s(literal -4 binary64))) |
(fma.f64 #s(literal -4 binary64) (*.f64 a c) #s(literal 0 binary64)) |
(*.f64 (*.f64 a c) #s(literal -4 binary64)) |
#s(literal -4 binary64) |
(*.f64 a c) |
a |
c |
#s(literal 0 binary64) |
(+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)) |
(*.f64 c a) |
(*.f64 a c) |
(*.f64 b b) |
b |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 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 (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 c b)) |
(/.f64 c b) |
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 (*.f64 a (/.f64 c b)) 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 c b) (/.f64 b a)))) |
#s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)) |
#s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a))) |
(/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(-.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 |
(/.f64 #s(approx (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 c b) a))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))) |
#s(approx (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 c b) a))) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (*.f64 (/.f64 c b) a)) |
(*.f64 a (/.f64 c b)) |
(*.f64 (/.f64 c b) a) |
a |
(/.f64 c b) |
c |
b |
#s(literal -2 binary64) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 b b))))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))))) (*.f64 #s(literal -2 binary64) a)) |
(-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 b b))))) |
(-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))))) |
b |
(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 b b)))) |
(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)))) |
#s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 b b))) |
#s(approx (+ (* -4 (* c a)) (* b b)) (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))) |
(*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 b b)) |
(fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)) |
(fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -4 binary64) #s(literal 1 binary64)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(*.f64 (/.f64 (/.f64 c b) b) a) |
a |
(/.f64 c (*.f64 b b)) |
(/.f64 (/.f64 c b) b) |
c |
(*.f64 b b) |
#s(literal -4 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(literal -2 binary64) a) |
#s(literal -2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 7.093610917530581 | (/.f64 c (*.f64 b b)) | |
| accuracy | 8.845604888007266 | (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 b b)) | |
| accuracy | 17.22502824708395 | (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 b b))))) | |
| accuracy | 22.582096297476372 | (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 b b)))) | |
| accuracy | 0.00390625 | (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) | |
| accuracy | 3.89885723779515 | (/.f64 #s(approx (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 5.27838072231254 | (*.f64 a (/.f64 c b)) | |
| accuracy | 36.693763618036 | #s(approx (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))) | |
| accuracy | 0.00390625 | (-.f64 (*.f64 a (/.f64 c b)) b) | |
| accuracy | 2.871561908179615 | (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a) | |
| accuracy | 5.27838072231254 | (*.f64 a (/.f64 c b)) | |
| accuracy | 43.51292329425057 | #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))) | |
| accuracy | 0.0 | (/.f64 c b) | |
| accuracy | 43.51292329425057 | #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))) | |
| accuracy | 44.22598324216873 | #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 c b)) | |
| accuracy | 3.89885723779515 | (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) #s(literal 0 binary64))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 12.584254531853224 | (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) | |
| accuracy | 13.563904173835642 | (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) #s(literal 0 binary64))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) | |
| accuracy | 22.582096297476372 | (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
| 76.0ms | 78× | 0 | valid |
| 75.0ms | 86× | 2 | valid |
| 46.0ms | 82× | 1 | valid |
| 9.0ms | 10× | 3 | valid |
Compiled 400 to 50 computations (87.5% saved)
ival-mult: 81.0ms (51.3% of total)ival-div: 23.0ms (14.6% of total)adjust: 22.0ms (13.9% of total)ival-add: 14.0ms (8.9% of total)ival-sqrt: 7.0ms (4.4% of total)ival-sub: 5.0ms (3.2% of total)ival-neg: 4.0ms (2.5% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 #s(literal -4 binary64) (*.f64 a c) #s(literal 0 binary64)) |
(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) #s(literal 0 binary64))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) #s(literal 0 binary64))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) |
#s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) #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 (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 c b)) |
(/.f64 c b) |
(/.f64 (-.f64 (*.f64 a (/.f64 c b)) 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))) |
#s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)) |
(-.f64 (*.f64 a (/.f64 c b)) b) |
(/.f64 #s(approx (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) |
(*.f64 a (/.f64 c b)) |
(*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 b b)) |
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 b b))))) (*.f64 #s(literal -2 binary64) a)) |
(-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 b b))))) |
(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 b 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) |
(/.f64 c (*.f64 b b)) |
| Outputs |
|---|
(* -4 (* a c)) |
(* 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)))))) |
(+ (* -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 (/ b a)) |
(/ (- (/ (* a c) b) b) a) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(* -1 b) |
(- (/ (* a c) b) b) |
(* -2 (/ (* a c) b)) |
(/ (* a c) b) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(* 2 (/ (* a c) b)) |
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) |
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) |
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c 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)))))))) |
(* 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)))))))) |
(* -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) (+ (* -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)))))) |
(/ c b) |
(- (* -1 (/ b a)) (* -1 (/ c b))) |
(+ (* -1 (/ b a)) (/ c b)) |
(* a (+ (* -1 (/ b a)) (/ c b))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* 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 (+ (* (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))))) |
(* (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 (/ (+ (* -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))) |
(* -1 (* a (+ (* -1 (/ c b)) (/ b a)))) |
(* -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)))))) |
(* -2 (* (sqrt (* a c)) (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 (/ 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)))))) |
(+ (* -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)))))) |
(+ (* 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 (/ (pow b 2) a)) (* -1 c)) b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ (+ (* -1 (pow b 2)) (* a c)) b) |
(- 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))) |
(+ (* 1/2 (* (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))))))))) |
(+ 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))) |
(/ 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))) (* 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))) (* 4 (/ (+ (* -2 (* (pow a 4) (pow c 4))) (* -1/2 (* (pow a 4) (pow c 4)))) (pow b 6)))))) 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) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (/ (* a c) (pow b 2)) 1)) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) 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) |
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) 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 (* -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))) (+ (* 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))) (* 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 (* 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 (* -1 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2))) |
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -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 (/ (+ (* -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)) |
(+ (* -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)))))) |
(* 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 b) (/ b a)) |
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) |
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a 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)))))))) |
(+ (* -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) (+ (* -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))))))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -1 (/ b c)) (/ a b))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* 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 (+ (* (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))))) |
(+ (* -1/2 (/ (- (* 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 (/ (+ (* -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 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (+ (* -1 (/ a b)) (/ b c)))) |
(* -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)))))) |
(* -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 (/ 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 | |
|---|---|---|---|---|
| 44.0ms | b | @ | inf | ((+ (* -4 (* a c)) 0) (/ (/ (+ (* (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)) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/ c b) (/ (- (* a (/ c b)) b) a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (- (* a (/ c 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)) (* (* a (/ c b)) -2) (* a (/ c b)) (* (+ (* (* a (/ c (* b b))) -4) 1) (* b b)) (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b) (/ c (* b b))) |
| 4.0ms | c | @ | -inf | ((+ (* -4 (* a c)) 0) (/ (/ (+ (* (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)) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/ c b) (/ (- (* a (/ c b)) b) a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (- (* a (/ c 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)) (* (* a (/ c b)) -2) (* a (/ c b)) (* (+ (* (* a (/ c (* b b))) -4) 1) (* b b)) (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b) (/ c (* b b))) |
| 4.0ms | c | @ | inf | ((+ (* -4 (* a c)) 0) (/ (/ (+ (* (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)) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/ c b) (/ (- (* a (/ c b)) b) a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (- (* a (/ c 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)) (* (* a (/ c b)) -2) (* a (/ c b)) (* (+ (* (* a (/ c (* b b))) -4) 1) (* b b)) (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b) (/ c (* b b))) |
| 4.0ms | a | @ | -inf | ((+ (* -4 (* a c)) 0) (/ (/ (+ (* (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)) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/ c b) (/ (- (* a (/ c b)) b) a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (- (* a (/ c 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)) (* (* a (/ c b)) -2) (* a (/ c b)) (* (+ (* (* a (/ c (* b b))) -4) 1) (* b b)) (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b) (/ c (* b b))) |
| 3.0ms | c | @ | 0 | ((+ (* -4 (* a c)) 0) (/ (/ (+ (* (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)) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/ c b) (/ (- (* a (/ c b)) b) a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (- (* a (/ c 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)) (* (* a (/ c b)) -2) (* a (/ c b)) (* (+ (* (* a (/ c (* b b))) -4) 1) (* b b)) (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b) (/ c (* b b))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1250 | 8296 |
| 1 | 4661 | 7441 |
| 0 | 8813 | 7059 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -4 (* a c)) |
(* 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)))))) |
(+ (* -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 (/ b a)) |
(/ (- (/ (* a c) b) b) a) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(* -1 b) |
(- (/ (* a c) b) b) |
(* -2 (/ (* a c) b)) |
(/ (* a c) b) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(* 2 (/ (* a c) b)) |
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) |
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) |
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c 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)))))))) |
(* 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)))))))) |
(* -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) (+ (* -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)))))) |
(/ c b) |
(- (* -1 (/ b a)) (* -1 (/ c b))) |
(+ (* -1 (/ b a)) (/ c b)) |
(* a (+ (* -1 (/ b a)) (/ c b))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* 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 (+ (* (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))))) |
(* (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 (/ (+ (* -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))) |
(* -1 (* a (+ (* -1 (/ c b)) (/ b a)))) |
(* -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)))))) |
(* -2 (* (sqrt (* a c)) (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 (/ 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)))))) |
(+ (* -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)))))) |
(+ (* 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 (/ (pow b 2) a)) (* -1 c)) b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ (+ (* -1 (pow b 2)) (* a c)) b) |
(- 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))) |
(+ (* 1/2 (* (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))))))))) |
(+ 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))) |
(/ 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))) (* 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))) (* 4 (/ (+ (* -2 (* (pow a 4) (pow c 4))) (* -1/2 (* (pow a 4) (pow c 4)))) (pow b 6)))))) 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) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (/ (* a c) (pow b 2)) 1)) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) 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) |
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) 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 (* -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))) (+ (* 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))) (* 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 (* 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 (* -1 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2))) |
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -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 (/ (+ (* -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)) |
(+ (* -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)))))) |
(* 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 b) (/ b a)) |
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) |
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a 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)))))))) |
(+ (* -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) (+ (* -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))))))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -1 (/ b c)) (/ a b))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* 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 (+ (* (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))))) |
(+ (* -1/2 (/ (- (* 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 (/ (+ (* -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 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (+ (* -1 (/ a b)) (/ b c)))) |
(* -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)))))) |
(* -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 (/ 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 |
|---|
(* -4 (* a c)) |
(*.f64 (*.f64 c a) #s(literal -4 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 (/.f64 c b) #s(literal -2 binary64) (*.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 (/.f64 c b) #s(literal -2 binary64) (*.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 (*.f64 c c) #s(literal 0 binary64))) (pow.f64 b #s(literal 5 binary64)))) a) (fma.f64 (/.f64 c b) #s(literal -2 binary64) (*.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) |
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(*.f64 (neg.f64 c) (fma.f64 (/.f64 (-.f64 b (/.f64 (fma.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))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))))) c)) c) #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))) |
(* -1 (* c (+ (* 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 (*.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)))) (+ (* 1/4 (* (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 (*.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 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 (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 (/ 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 #s(literal 1 binary64) (*.f64 c a)))) (*.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: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 430 |
| 0 | 92 | 424 |
| 1 | 329 | 389 |
| 2 | 2371 | 389 |
| 0 | 8824 | 385 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 #s(literal -4 binary64) (*.f64 a c) #s(literal 0 binary64)) |
(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) #s(literal 0 binary64))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) #s(literal 0 binary64))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) |
#s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) #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 (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 c b)) |
(/.f64 c b) |
(/.f64 (-.f64 (*.f64 a (/.f64 c b)) 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))) |
#s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)) |
(-.f64 (*.f64 a (/.f64 c b)) b) |
(/.f64 #s(approx (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) |
(*.f64 a (/.f64 c b)) |
(*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 b b)) |
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 b b))))) (*.f64 #s(literal -2 binary64) a)) |
(-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 b b))))) |
(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 b 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) |
(/.f64 c (*.f64 b b)) |
| Outputs |
|---|
(*.f64 (*.f64 c #s(literal -4 binary64)) a) |
(*.f64 (*.f64 a #s(literal -4 binary64)) c) |
(*.f64 (*.f64 c a) #s(literal -4 binary64)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64))) (neg.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 c a) #s(literal -4 binary64))) #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) |
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))) (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 (neg.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) #s(literal 0 binary64))) (*.f64 (neg.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64))) (*.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))) (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 3 binary64))) |
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 c a) #s(literal -4 binary64))) #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))) (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 4 binary64))) |
(/.f64 (fma.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) #s(literal 0 binary64))) (*.f64 (neg.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 3 binary64))) (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64))) (*.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal 0 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 3 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 5 binary64)) (*.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))) (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 4 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 3 binary64))) (neg.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64)))) |
(/.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
(/.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64))) |
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 c #s(literal -4 binary64)) a #s(literal 0 binary64)) |
(fma.f64 (*.f64 a #s(literal -4 binary64)) c (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 a #s(literal -4 binary64)) c #s(literal 0 binary64)) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) #s(literal 0 binary64)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64)))) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) #s(literal 0 binary64)) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64)))) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64)))) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) #s(literal 0 binary64)) |
(-.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) |
(-.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (*.f64 c #s(literal -4 binary64))) a)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (*.f64 a #s(literal -4 binary64))) c)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (*.f64 c a)) #s(literal -4 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (*.f64 c a))) |
(+.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
(/.f64 (neg.f64 (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) a)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 a))) |
(/.f64 (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) a) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (neg.f64 (*.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a)))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))))) |
(/.f64 (neg.f64 (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) #s(literal 2 binary64))) (neg.f64 a)) |
(/.f64 (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) #s(literal 2 binary64)) a) |
(/.f64 (neg.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (*.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (neg.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)))) |
(/.f64 (/.f64 (neg.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) (*.f64 #s(literal -2 binary64) a)) |
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(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a)) (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))) |
(/.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 #s(literal 16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) (*.f64 (neg.f64 b) b)))))) |
(/.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)))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (neg.f64 b) b (*.f64 (*.f64 c a) #s(literal -4 binary64))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a)) (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) b) b))))) |
(/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)))))) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) |
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) |
(fabs.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (sinh.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))) |
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))) |
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (*.f64 b b))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) |
(/.f64 (neg.f64 (fma.f64 b b (neg.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (neg.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (neg.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 b b (-.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) |
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64))) (fma.f64 b b (-.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)))) |
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) |
(/.f64 (fma.f64 b b (neg.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) |
(/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (fma.f64 b b (*.f64 (neg.f64 b) b))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) |
(fma.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64))) b) |
(fma.f64 (fabs.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64))) b) |
(fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) b) |
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) b) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 b))) (sqrt.f64 (neg.f64 (neg.f64 b))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) |
(fma.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 (neg.f64 b)) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) |
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) |
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) #s(literal 1/2 binary64)) b) |
(fma.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64)) b) |
(-.f64 (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) |
(+.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) |
(+.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) |
(/.f64 (/.f64 (neg.f64 c) b) (neg.f64 b)) |
(/.f64 (/.f64 c b) (neg.f64 (neg.f64 b))) |
(/.f64 (/.f64 c b) b) |
(/.f64 (neg.f64 c) (*.f64 (neg.f64 b) b)) |
(/.f64 c (*.f64 b b)) |
(neg.f64 (/.f64 c (*.f64 (neg.f64 b) b))) |
Compiled 28 722 to 2 907 computations (89.9% saved)
22 alts after pruning (16 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 530 | 5 | 535 |
| Fresh | 2 | 11 | 13 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 534 | 22 | 556 |
| Status | Accuracy | Program |
|---|---|---|
| 46.8% | (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))) | |
| 31.8% | (/.f64 (fma.f64 b a (*.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) a) a)) | |
| ▶ | 47.0% | (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | 49.4% | (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
| 28.5% | (/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 #s(literal -2 binary64) a)) | |
| 29.5% | (/.f64 (*.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64)))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) | |
| 33.1% | (/.f64 #s(approx (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a)) | |
| 32.9% | (/.f64 #s(approx (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (*.f64 c (/.f64 a b)) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) a)) | |
| ✓ | 36.7% | (/.f64 #s(approx (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) a)) |
| 42.8% | (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) | |
| ▶ | 31.3% | (*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)))) |
| ▶ | 11.2% | #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)) |
| 42.6% | #s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 c) b)) | |
| ✓ | 36.9% | #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)) |
| 37.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 #s(approx (+ (* (/ (* c c) b) (/ a b)) c) (*.f64 (fma.f64 (/.f64 c b) (/.f64 c b) (/.f64 c a)) a))) b)) | |
| ✓ | 31.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
| ▶ | 40.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(approx (neg (+ (* (/ (* c c) b) (/ a b)) c)) (*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) c)) b)) |
| ▶ | 31.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (fma.f64 (neg.f64 c) (/.f64 b (*.f64 b b)) (/.f64 b a)))) |
| ✓ | 32.0% | #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))) |
| ✓ | 10.8% | #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))) |
| 32.0% | #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)))) | |
| 31.8% | #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 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b))) |
Compiled 1 395 to 831 computations (40.4% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) | |
| cost-diff | 1 | (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) | |
| cost-diff | 1 | (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) | |
| cost-diff | 42 | (*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)))) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) c) | |
| cost-diff | 0 | #s(approx (neg (+ (* (/ (* c c) b) (/ a b)) c)) (*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) c)) | |
| cost-diff | 0 | (/.f64 #s(approx (neg (+ (* (/ (* c c) b) (/ a b)) c)) (*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) c)) b) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(approx (neg (+ (* (/ (* c c) b) (/ a b)) c)) (*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) c)) b)) | |
| cost-diff | 0 | (neg.f64 (fma.f64 (neg.f64 c) (/.f64 b (*.f64 b b)) (/.f64 b a))) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (fma.f64 (neg.f64 c) (/.f64 b (*.f64 b b)) (/.f64 b a)))) | |
| cost-diff | 2 | (/.f64 b (*.f64 b b)) | |
| cost-diff | 2 | (fma.f64 (neg.f64 c) (/.f64 b (*.f64 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 | (*.f64 (*.f64 c a) #s(literal -4 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 591 |
| 0 | 106 | 585 |
| 1 | 214 | 573 |
| 2 | 594 | 498 |
| 3 | 2447 | 490 |
| 0 | 8306 | 483 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) |
#s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.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 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) |
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) |
(*.f64 c #s(literal -4 binary64)) |
(*.f64 b b) |
b |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
#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 (neg.f64 c) (/.f64 b (*.f64 b b)) (/.f64 b a)))) |
(neg.f64 (fma.f64 (neg.f64 c) (/.f64 b (*.f64 b b)) (/.f64 b a))) |
(fma.f64 (neg.f64 c) (/.f64 b (*.f64 b b)) (/.f64 b a)) |
(neg.f64 c) |
c |
(/.f64 b (*.f64 b b)) |
b |
(*.f64 b b) |
(/.f64 b a) |
a |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(approx (neg (+ (* (/ (* c c) b) (/ a b)) c)) (*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) c)) b)) |
(/.f64 #s(approx (neg (+ (* (/ (* c c) b) (/ a b)) c)) (*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) c)) b) |
#s(approx (neg (+ (* (/ (* c c) b) (/ a b)) c)) (*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) c)) |
(*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) c) |
(-.f64 (*.f64 (neg.f64 a) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) |
(*.f64 (neg.f64 a) (/.f64 c (*.f64 b b))) |
(neg.f64 a) |
a |
(/.f64 c (*.f64 b b)) |
c |
(*.f64 b b) |
b |
#s(literal 1 binary64) |
(*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)))) |
(fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) |
b |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (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))) |
(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 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a))) |
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) |
(*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
(*.f64 #s(literal -2 binary64) a) |
#s(literal -2 binary64) |
| Outputs |
|---|
(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) (*.f64 #s(literal 2 binary64) a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) |
(/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) |
(/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) |
#s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
#s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) |
(*.f64 (*.f64 c a) #s(literal -4 binary64)) |
(*.f64 (*.f64 c #s(literal -4 binary64)) a) |
(*.f64 c a) |
(*.f64 a c) |
c |
a |
#s(literal -4 binary64) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) |
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) |
(*.f64 c #s(literal -4 binary64)) |
(*.f64 b b) |
b |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
#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 (neg.f64 c) (/.f64 b (*.f64 b b)) (/.f64 b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))) |
(neg.f64 (fma.f64 (neg.f64 c) (/.f64 b (*.f64 b b)) (/.f64 b a))) |
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a)) |
(fma.f64 (neg.f64 c) (/.f64 b (*.f64 b b)) (/.f64 b a)) |
(-.f64 (/.f64 b a) (/.f64 c b)) |
(neg.f64 c) |
c |
(/.f64 b (*.f64 b b)) |
(/.f64 #s(literal 1 binary64) b) |
b |
(*.f64 b b) |
(/.f64 b a) |
a |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(approx (neg (+ (* (/ (* c c) b) (/ a b)) c)) (*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(approx (neg (+ (* (/ (* c c) b) (/ a b)) c)) (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 (neg.f64 c) b) b) a) #s(literal 1 binary64)) c)) b)) |
(/.f64 #s(approx (neg (+ (* (/ (* c c) b) (/ a b)) c)) (*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) c)) b) |
(/.f64 #s(approx (neg (+ (* (/ (* c c) b) (/ a b)) c)) (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 (neg.f64 c) b) b) a) #s(literal 1 binary64)) c)) b) |
#s(approx (neg (+ (* (/ (* c c) b) (/ a b)) c)) (*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) c)) |
#s(approx (neg (+ (* (/ (* c c) b) (/ a b)) c)) (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 (neg.f64 c) b) b) a) #s(literal 1 binary64)) c)) |
(*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) c) |
(*.f64 (-.f64 (*.f64 (/.f64 (/.f64 (neg.f64 c) b) b) a) #s(literal 1 binary64)) c) |
(-.f64 (*.f64 (neg.f64 a) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) |
(-.f64 (*.f64 (/.f64 (/.f64 (neg.f64 c) b) b) a) #s(literal 1 binary64)) |
(*.f64 (neg.f64 a) (/.f64 c (*.f64 b b))) |
(*.f64 (/.f64 (/.f64 (neg.f64 c) b) b) a) |
(neg.f64 a) |
a |
(/.f64 c (*.f64 b b)) |
c |
(*.f64 b b) |
b |
#s(literal 1 binary64) |
(*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)))) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) a)) |
(fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) |
(fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) b)) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) |
b |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) b (*.f64 (*.f64 c #s(literal -4 binary64)) a)) |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) |
#s(literal -4 binary64) |
(*.f64 c a) |
(*.f64 a c) |
c |
a |
(*.f64 b b) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 (*.f64 #s(literal -2 binary64) a) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) b)) (*.f64 (*.f64 c #s(literal -4 binary64)) a)))) |
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) |
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) |
(*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
(*.f64 (*.f64 #s(literal -2 binary64) a) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) b)) (*.f64 (*.f64 c #s(literal -4 binary64)) a))) |
(*.f64 #s(literal -2 binary64) a) |
#s(literal -2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 17.22502824708395 | (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) | |
| accuracy | 18.08714904157386 | (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) | |
| accuracy | 22.582096297476372 | (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) | |
| accuracy | 26.229204346491898 | (*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)))) | |
| accuracy | 1.2086191191584206 | (*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) c) | |
| accuracy | 5.911838828158778 | (*.f64 (neg.f64 a) (/.f64 c (*.f64 b b))) | |
| accuracy | 7.093610917530581 | (/.f64 c (*.f64 b b)) | |
| accuracy | 36.87954382207893 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(approx (neg (+ (* (/ (* c c) b) (/ a b)) c)) (*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) c)) b)) | |
| accuracy | 0.0 | (neg.f64 c) | |
| accuracy | 0.05859375 | (fma.f64 (neg.f64 c) (/.f64 b (*.f64 b b)) (/.f64 b a)) | |
| accuracy | 26.667469262899452 | (/.f64 b (*.f64 b b)) | |
| accuracy | 43.51292329425057 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (fma.f64 (neg.f64 c) (/.f64 b (*.f64 b b)) (/.f64 b a)))) | |
| accuracy | 0.0 | (/.f64 #s(literal 0 binary64) b) | |
| accuracy | 56.85933844469595 | #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 | 3.89885723779515 | (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 12.584254531853224 | (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) | |
| accuracy | 13.563904173835642 | (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) | |
| accuracy | 22.582096297476372 | (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) |
| 82.0ms | 86× | 2 | valid |
| 54.0ms | 82× | 1 | valid |
| 42.0ms | 78× | 0 | valid |
| 13.0ms | 10× | 3 | valid |
Compiled 544 to 64 computations (88.2% saved)
ival-div: 40.0ms (26.7% of total)ival-mult: 34.0ms (22.7% of total)ival-add: 25.0ms (16.7% of total)adjust: 24.0ms (16% of total)ival-sqrt: 13.0ms (8.7% of total)ival-neg: 7.0ms (4.7% of total)ival-sub: 5.0ms (3.3% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) |
#s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
(*.f64 (*.f64 c a) #s(literal -4 binary64)) |
(/.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 (neg.f64 c) (/.f64 b (*.f64 b b)) (/.f64 b a)) |
(/.f64 b (*.f64 b b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (fma.f64 (neg.f64 c) (/.f64 b (*.f64 b b)) (/.f64 b a)))) |
(neg.f64 (fma.f64 (neg.f64 c) (/.f64 b (*.f64 b b)) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(approx (neg (+ (* (/ (* c c) b) (/ a b)) c)) (*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) c)) b)) |
(/.f64 #s(approx (neg (+ (* (/ (* c c) b) (/ a b)) c)) (*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) c)) b) |
#s(approx (neg (+ (* (/ (* c c) b) (/ a b)) c)) (*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) c)) |
(*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) c) |
(*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)))) |
(fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (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))) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) |
(neg.f64 c) |
(/.f64 c (*.f64 b b)) |
(*.f64 (neg.f64 a) (/.f64 c (*.f64 b b))) |
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) |
| Outputs |
|---|
(* 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)))))) |
(+ (* -1 (pow b 2)) (pow b 2)) |
(+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2))) |
(* -4 (* a c)) |
(/ b a) |
(/ (+ b (* -1 (/ (* a c) b))) a) |
(* -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 (/ b a)) |
(/ (- (/ (* a c) b) b) a) |
(* -1 c) |
(- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) |
(+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* 2 (pow b 2)) (pow b 2)) |
(+ (* 2 (pow b 2)) (+ (* a (+ (* -4 c) (* -2 c))) (pow b 2))) |
(+ (* 2 (pow b 2)) (+ (* a (+ (* -4 c) (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2)))))) (pow b 2))) |
(+ (* 2 (pow b 2)) (+ (* a (+ (* -4 c) (+ (* -2 c) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 4))) (* -2 (/ (pow c 2) (pow b 2)))))))) (pow b 2))) |
(* 2 (pow b 2)) |
(+ (* 2 (pow b 2)) (* a (+ (* -4 c) (* -2 c)))) |
(+ (* 2 (pow b 2)) (* a (+ (* -4 c) (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2))))))) |
(+ (* 2 (pow b 2)) (* a (+ (* -4 c) (+ (* -2 c) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 4))) (* -2 (/ (pow c 2) (pow b 2))))))))) |
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)))))))) |
(* 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 (/ (* a c) (pow b 2))) |
(* 2 (/ (* a c) b)) |
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) |
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) |
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) |
(* -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) (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a)))) |
(+ (* -1 (/ c b)) (/ b 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)))))) |
(/ c b) |
(- (* -1 (/ b a)) (* -1 (/ c b))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))) |
(* -1 (/ (* a (pow c 2)) (pow b 2))) |
(* a (- (* -1 (/ c a)) (/ (pow c 2) (pow b 2)))) |
(* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2))))) |
(* a (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4))))) |
(* a (+ (* -4 c) (+ (* 2 (/ (pow b 2) a)) (* (sqrt (/ c a)) (* b (sqrt -4)))))) |
(* a (+ (* -4 c) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -4)))) (+ (* 2 (/ (pow b 2) a)) (* (sqrt (/ c a)) (* b (sqrt -4))))))) |
(* a (+ (* -4 c) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -4)))) (+ (* 2 (/ (pow b 2) a)) (* (sqrt (/ c a)) (* b (sqrt -4)))))))) |
(* a (+ (* -4 c) (+ (* (sqrt (/ c a)) (* b (sqrt -4))) (/ (pow b 2) a)))) |
(* a (+ (* -4 c) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -4)))) (+ (* (sqrt (/ c a)) (* b (sqrt -4))) (/ (pow b 2) a))))) |
(* a (+ (* -4 c) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -4)))) (+ (* (sqrt (/ c a)) (* b (sqrt -4))) (/ (pow b 2) a)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* 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 (+ (* (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 (* a c)) (sqrt -4))) |
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* (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 (/ (+ (* -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))) |
(* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))) |
(* -1 (* a (- (/ c a) (* -1 (/ (pow c 2) (pow b 2)))))) |
(* -1 (* a (+ (/ c a) (/ (pow c 2) (pow b 2))))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) |
(* -1 (* a (+ (* -2 (/ (pow b 2) a)) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 3) (sqrt -1)))) (* 2 (pow b 2))) a)) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 5) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 3) (sqrt -1))))) a)) (* 2 (pow b 2))) a)) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 3) (sqrt -1)))) (pow b 2)) a)) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 5) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 3) (sqrt -1))))) a)) (pow b 2)) a)) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) |
(* -2 (* (sqrt (* a c)) (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 (/ 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 (* 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)))))) |
(+ (* -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)))))) |
0 |
(/ (+ (* -1 c) (/ (pow b 2) a)) b) |
(/ 1 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 (/ (pow b 2) a)) (* -1 c)) b) |
(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3)) |
(/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 2)) |
(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 2)) |
(+ (* -4 (* a c)) (* (sqrt (* a c)) (* b (sqrt -4)))) |
(+ (* -4 (* a c)) (* b (+ (* 2 b) (* (sqrt (* a c)) (sqrt -4))))) |
(+ (* -4 (* a c)) (* b (+ (* b (+ 2 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))))) |
(+ (* -4 (* a c)) (* b (+ b (* (sqrt (* a c)) (sqrt -4))))) |
(+ (* -4 (* a c)) (* b (+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))))) |
(+ (* 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))))))))) |
(+ 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))) |
(/ c (pow b 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))) (* 2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6)))))) b) |
(* -2 (/ (* a c) 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))) (* 4 (/ (+ (* -2 (* (pow a 4) (pow c 4))) (* -1/2 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))) |
(/ (+ (* -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) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* 3 (pow b 2)) |
(* (pow b 2) (+ 3 (+ (* -4 (/ (* a c) (pow b 2))) (* -2 (/ (* a c) (pow b 2)))))) |
(* (pow b 2) (+ 3 (+ (* -4 (/ (* a c) (pow b 2))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* (pow b 2) (+ 3 (+ (* -4 (/ (* a c) (pow 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)))))))) |
(* (pow b 2) (+ 2 (+ (* -4 (/ (* a c) (pow b 2))) (* -2 (/ (* a c) (pow b 2)))))) |
(* (pow b 2) (+ 2 (+ (* -4 (/ (* a c) (pow b 2))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* (pow b 2) (+ 2 (+ (* -4 (/ (* a c) (pow 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)))))))) |
(* 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 (* -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))))))) |
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) 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) |
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -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 (* b (+ (* -1 (/ c (pow b 2))) (/ 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))) (* 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 (* b (- (/ 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 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(pow b 2) |
(* (pow b 2) (+ 1 (+ (* -4 (/ (* a c) (pow b 2))) (* 2 (/ (* a c) (pow b 2)))))) |
(* (pow b 2) (+ 1 (+ (* -4 (/ (* a c) (pow b 2))) (+ (* 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))) (+ (* 2 (/ (* a c) (pow b 2))) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6)))))))) |
(+ (* -4 (* a c)) (* 2 (* a c))) |
(+ (* -4 (* a c)) (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) |
(+ (* -4 (* a c)) (+ (* 2 (* a c)) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) |
(+ (* -4 (* a c)) (+ (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 2 (* a c)) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))))))) |
(* -1 b) |
(* -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 (/ (+ (* -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)) |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2))) |
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(+ (* -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)))))) |
(* 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 b) (/ b a)) |
(* c (- (* -1 (/ (* a c) (pow b 2))) 1)) |
(+ (* 2 (pow b 2)) (+ (* c (+ (* -4 a) (* -2 a))) (pow b 2))) |
(+ (* 2 (pow b 2)) (+ (* c (+ (* -4 a) (+ (* -2 a) (* -2 (/ (* (pow a 2) c) (pow b 2)))))) (pow b 2))) |
(+ (* 2 (pow b 2)) (+ (* c (+ (* -4 a) (+ (* -2 a) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 4))) (* -2 (/ (pow a 2) (pow b 2)))))))) (pow b 2))) |
(+ (* 2 (pow b 2)) (* c (+ (* -4 a) (* -2 a)))) |
(+ (* 2 (pow b 2)) (* c (+ (* -4 a) (+ (* -2 a) (* -2 (/ (* (pow a 2) c) (pow b 2))))))) |
(+ (* 2 (pow b 2)) (* c (+ (* -4 a) (+ (* -2 a) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 4))) (* -2 (/ (pow a 2) (pow b 2))))))))) |
(+ 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 (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) |
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
(+ (* -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) (+ (* -1 (/ (pow b 2) c)) (/ (pow b 2) c)))) |
(* c (- (/ b (* a c)) (/ 1 b))) |
(* 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 (* a c))) (/ 1 b))) |
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))) |
(* -1 (* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))) |
(* (pow c 2) (- (* -1 (/ a (pow b 2))) (/ 1 c))) |
(* c (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4))))) |
(* c (+ (* -4 a) (+ (* 2 (/ (pow b 2) c)) (* (sqrt (/ a c)) (* b (sqrt -4)))))) |
(* c (+ (* -4 a) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (+ (* 2 (/ (pow b 2) c)) (* (sqrt (/ a c)) (* b (sqrt -4))))))) |
(* c (+ (* -4 a) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (+ (* 2 (/ (pow b 2) c)) (* (sqrt (/ a c)) (* b (sqrt -4)))))))) |
(* c (+ (* -4 a) (+ (* (sqrt (/ a c)) (* b (sqrt -4))) (/ (pow b 2) c)))) |
(* c (+ (* -4 a) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (+ (* (sqrt (/ a c)) (* b (sqrt -4))) (/ (pow b 2) c))))) |
(* c (+ (* -4 a) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (+ (* (sqrt (/ a c)) (* b (sqrt -4))) (/ (pow b 2) 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 (+ (* (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))))) |
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(+ (* -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 (/ (+ (* -1 (pow b 2)) (pow b 2)) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))) |
(* -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 (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))) |
(* -1 (* c (+ (* -2 (/ (pow b 2) c)) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 3) (sqrt -1)))) (* 2 (pow b 2))) c)) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 5) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 3) (sqrt -1))))) c)) (* 2 (pow b 2))) c)) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 3) (sqrt -1)))) (pow b 2)) c)) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 5) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 3) (sqrt -1))))) c)) (pow b 2)) c)) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) |
(* -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 (/ 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)))))) |
(* -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 | |
|---|---|---|---|---|
| 7.0ms | a | @ | inf | ((/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* (* c -4) a) (* b b))) b)) (* 2 a)) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* (* c -4) a) (* b b))) b)) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (* (* c a) -4) (/ 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)) (/ b (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (+ (* (neg c) (/ b (* b b))) (/ b a))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg (+ (* (/ (* c c) b) (/ a b)) c)) b) (neg (+ (* (/ (* c c) b) (/ a b)) c)) (* (- (* (neg a) (/ c (* b b))) 1) c) (* (+ (* b b) (+ (* (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ (* -4 (* c a)) (* b b)))) (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* (+ (* b b) (+ (* (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ (* -4 (* c a)) (* b b)))) (* -2 a)))) (+ (* b b) (+ (* (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ (* -4 (* c a)) (* b b)))) (+ (* (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ (* -4 (* c a)) (* b b))) (sqrt (+ (* -4 (* c a)) (* b b))) (sqrt (+ (* (* c -4) a) (* b b))) (+ (sqrt (+ (* (* c -4) a) (* b b))) b) (neg c) (/ c (* b b)) (* (neg a) (/ c (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) |
| 5.0ms | c | @ | -inf | ((/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* (* c -4) a) (* b b))) b)) (* 2 a)) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* (* c -4) a) (* b b))) b)) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (* (* c a) -4) (/ 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)) (/ b (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (+ (* (neg c) (/ b (* b b))) (/ b a))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg (+ (* (/ (* c c) b) (/ a b)) c)) b) (neg (+ (* (/ (* c c) b) (/ a b)) c)) (* (- (* (neg a) (/ c (* b b))) 1) c) (* (+ (* b b) (+ (* (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ (* -4 (* c a)) (* b b)))) (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* (+ (* b b) (+ (* (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ (* -4 (* c a)) (* b b)))) (* -2 a)))) (+ (* b b) (+ (* (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ (* -4 (* c a)) (* b b)))) (+ (* (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ (* -4 (* c a)) (* b b))) (sqrt (+ (* -4 (* c a)) (* b b))) (sqrt (+ (* (* c -4) a) (* b b))) (+ (sqrt (+ (* (* c -4) a) (* b b))) b) (neg c) (/ c (* b b)) (* (neg a) (/ c (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) |
| 4.0ms | c | @ | inf | ((/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* (* c -4) a) (* b b))) b)) (* 2 a)) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* (* c -4) a) (* b b))) b)) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (* (* c a) -4) (/ 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)) (/ b (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (+ (* (neg c) (/ b (* b b))) (/ b a))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg (+ (* (/ (* c c) b) (/ a b)) c)) b) (neg (+ (* (/ (* c c) b) (/ a b)) c)) (* (- (* (neg a) (/ c (* b b))) 1) c) (* (+ (* b b) (+ (* (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ (* -4 (* c a)) (* b b)))) (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* (+ (* b b) (+ (* (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ (* -4 (* c a)) (* b b)))) (* -2 a)))) (+ (* b b) (+ (* (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ (* -4 (* c a)) (* b b)))) (+ (* (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ (* -4 (* c a)) (* b b))) (sqrt (+ (* -4 (* c a)) (* b b))) (sqrt (+ (* (* c -4) a) (* b b))) (+ (sqrt (+ (* (* c -4) a) (* b b))) b) (neg c) (/ c (* b b)) (* (neg a) (/ c (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) |
| 4.0ms | a | @ | -inf | ((/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* (* c -4) a) (* b b))) b)) (* 2 a)) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* (* c -4) a) (* b b))) b)) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (* (* c a) -4) (/ 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)) (/ b (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (+ (* (neg c) (/ b (* b b))) (/ b a))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg (+ (* (/ (* c c) b) (/ a b)) c)) b) (neg (+ (* (/ (* c c) b) (/ a b)) c)) (* (- (* (neg a) (/ c (* b b))) 1) c) (* (+ (* b b) (+ (* (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ (* -4 (* c a)) (* b b)))) (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* (+ (* b b) (+ (* (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ (* -4 (* c a)) (* b b)))) (* -2 a)))) (+ (* b b) (+ (* (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ (* -4 (* c a)) (* b b)))) (+ (* (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ (* -4 (* c a)) (* b b))) (sqrt (+ (* -4 (* c a)) (* b b))) (sqrt (+ (* (* c -4) a) (* b b))) (+ (sqrt (+ (* (* c -4) a) (* b b))) b) (neg c) (/ c (* b b)) (* (neg a) (/ c (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) |
| 4.0ms | a | @ | 0 | ((/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* (* c -4) a) (* b b))) b)) (* 2 a)) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* (* c -4) a) (* b b))) b)) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (* (* c a) -4) (/ 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)) (/ b (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (+ (* (neg c) (/ b (* b b))) (/ b a))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg (+ (* (/ (* c c) b) (/ a b)) c)) b) (neg (+ (* (/ (* c c) b) (/ a b)) c)) (* (- (* (neg a) (/ c (* b b))) 1) c) (* (+ (* b b) (+ (* (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ (* -4 (* c a)) (* b b)))) (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* (+ (* b b) (+ (* (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ (* -4 (* c a)) (* b b)))) (* -2 a)))) (+ (* b b) (+ (* (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ (* -4 (* c a)) (* b b)))) (+ (* (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ (* -4 (* c a)) (* b b))) (sqrt (+ (* -4 (* c a)) (* b b))) (sqrt (+ (* (* c -4) a) (* b b))) (+ (sqrt (+ (* (* c -4) a) (* b b))) b) (neg c) (/ c (* b b)) (* (neg a) (/ c (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1515 | 10334 |
| 1 | 5700 | 10169 |
| 0 | 8114 | 9659 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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)))))) |
(+ (* -1 (pow b 2)) (pow b 2)) |
(+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2))) |
(* -4 (* a c)) |
(/ b a) |
(/ (+ b (* -1 (/ (* a c) b))) a) |
(* -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 (/ b a)) |
(/ (- (/ (* a c) b) b) a) |
(* -1 c) |
(- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) |
(+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* 2 (pow b 2)) (pow b 2)) |
(+ (* 2 (pow b 2)) (+ (* a (+ (* -4 c) (* -2 c))) (pow b 2))) |
(+ (* 2 (pow b 2)) (+ (* a (+ (* -4 c) (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2)))))) (pow b 2))) |
(+ (* 2 (pow b 2)) (+ (* a (+ (* -4 c) (+ (* -2 c) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 4))) (* -2 (/ (pow c 2) (pow b 2)))))))) (pow b 2))) |
(* 2 (pow b 2)) |
(+ (* 2 (pow b 2)) (* a (+ (* -4 c) (* -2 c)))) |
(+ (* 2 (pow b 2)) (* a (+ (* -4 c) (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2))))))) |
(+ (* 2 (pow b 2)) (* a (+ (* -4 c) (+ (* -2 c) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 4))) (* -2 (/ (pow c 2) (pow b 2))))))))) |
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)))))))) |
(* 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 (/ (* a c) (pow b 2))) |
(* 2 (/ (* a c) b)) |
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) |
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) |
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) |
(* -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) (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a)))) |
(+ (* -1 (/ c b)) (/ b 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)))))) |
(/ c b) |
(- (* -1 (/ b a)) (* -1 (/ c b))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))) |
(* -1 (/ (* a (pow c 2)) (pow b 2))) |
(* a (- (* -1 (/ c a)) (/ (pow c 2) (pow b 2)))) |
(* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2))))) |
(* a (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4))))) |
(* a (+ (* -4 c) (+ (* 2 (/ (pow b 2) a)) (* (sqrt (/ c a)) (* b (sqrt -4)))))) |
(* a (+ (* -4 c) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -4)))) (+ (* 2 (/ (pow b 2) a)) (* (sqrt (/ c a)) (* b (sqrt -4))))))) |
(* a (+ (* -4 c) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -4)))) (+ (* 2 (/ (pow b 2) a)) (* (sqrt (/ c a)) (* b (sqrt -4)))))))) |
(* a (+ (* -4 c) (+ (* (sqrt (/ c a)) (* b (sqrt -4))) (/ (pow b 2) a)))) |
(* a (+ (* -4 c) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -4)))) (+ (* (sqrt (/ c a)) (* b (sqrt -4))) (/ (pow b 2) a))))) |
(* a (+ (* -4 c) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -4)))) (+ (* (sqrt (/ c a)) (* b (sqrt -4))) (/ (pow b 2) a)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* 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 (+ (* (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 (* a c)) (sqrt -4))) |
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* (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 (/ (+ (* -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))) |
(* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))) |
(* -1 (* a (- (/ c a) (* -1 (/ (pow c 2) (pow b 2)))))) |
(* -1 (* a (+ (/ c a) (/ (pow c 2) (pow b 2))))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) |
(* -1 (* a (+ (* -2 (/ (pow b 2) a)) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 3) (sqrt -1)))) (* 2 (pow b 2))) a)) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 5) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 3) (sqrt -1))))) a)) (* 2 (pow b 2))) a)) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 3) (sqrt -1)))) (pow b 2)) a)) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 5) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 3) (sqrt -1))))) a)) (pow b 2)) a)) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) |
(* -2 (* (sqrt (* a c)) (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 (/ 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 (* 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)))))) |
(+ (* -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)))))) |
0 |
(/ (+ (* -1 c) (/ (pow b 2) a)) b) |
(/ 1 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 (/ (pow b 2) a)) (* -1 c)) b) |
(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3)) |
(/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 2)) |
(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 2)) |
(+ (* -4 (* a c)) (* (sqrt (* a c)) (* b (sqrt -4)))) |
(+ (* -4 (* a c)) (* b (+ (* 2 b) (* (sqrt (* a c)) (sqrt -4))))) |
(+ (* -4 (* a c)) (* b (+ (* b (+ 2 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))))) |
(+ (* -4 (* a c)) (* b (+ b (* (sqrt (* a c)) (sqrt -4))))) |
(+ (* -4 (* a c)) (* b (+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))))) |
(+ (* 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))))))))) |
(+ 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))) |
(/ c (pow b 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))) (* 2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6)))))) b) |
(* -2 (/ (* a c) 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))) (* 4 (/ (+ (* -2 (* (pow a 4) (pow c 4))) (* -1/2 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))) |
(/ (+ (* -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) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* 3 (pow b 2)) |
(* (pow b 2) (+ 3 (+ (* -4 (/ (* a c) (pow b 2))) (* -2 (/ (* a c) (pow b 2)))))) |
(* (pow b 2) (+ 3 (+ (* -4 (/ (* a c) (pow b 2))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* (pow b 2) (+ 3 (+ (* -4 (/ (* a c) (pow 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)))))))) |
(* (pow b 2) (+ 2 (+ (* -4 (/ (* a c) (pow b 2))) (* -2 (/ (* a c) (pow b 2)))))) |
(* (pow b 2) (+ 2 (+ (* -4 (/ (* a c) (pow b 2))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* (pow b 2) (+ 2 (+ (* -4 (/ (* a c) (pow 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)))))))) |
(* 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 (* -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))))))) |
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) 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) |
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -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 (* b (+ (* -1 (/ c (pow b 2))) (/ 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))) (* 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 (* b (- (/ 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 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(pow b 2) |
(* (pow b 2) (+ 1 (+ (* -4 (/ (* a c) (pow b 2))) (* 2 (/ (* a c) (pow b 2)))))) |
(* (pow b 2) (+ 1 (+ (* -4 (/ (* a c) (pow b 2))) (+ (* 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))) (+ (* 2 (/ (* a c) (pow b 2))) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6)))))))) |
(+ (* -4 (* a c)) (* 2 (* a c))) |
(+ (* -4 (* a c)) (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) |
(+ (* -4 (* a c)) (+ (* 2 (* a c)) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) |
(+ (* -4 (* a c)) (+ (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 2 (* a c)) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))))))) |
(* -1 b) |
(* -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 (/ (+ (* -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)) |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2))) |
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(+ (* -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)))))) |
(* 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 b) (/ b a)) |
(* c (- (* -1 (/ (* a c) (pow b 2))) 1)) |
(+ (* 2 (pow b 2)) (+ (* c (+ (* -4 a) (* -2 a))) (pow b 2))) |
(+ (* 2 (pow b 2)) (+ (* c (+ (* -4 a) (+ (* -2 a) (* -2 (/ (* (pow a 2) c) (pow b 2)))))) (pow b 2))) |
(+ (* 2 (pow b 2)) (+ (* c (+ (* -4 a) (+ (* -2 a) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 4))) (* -2 (/ (pow a 2) (pow b 2)))))))) (pow b 2))) |
(+ (* 2 (pow b 2)) (* c (+ (* -4 a) (* -2 a)))) |
(+ (* 2 (pow b 2)) (* c (+ (* -4 a) (+ (* -2 a) (* -2 (/ (* (pow a 2) c) (pow b 2))))))) |
(+ (* 2 (pow b 2)) (* c (+ (* -4 a) (+ (* -2 a) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 4))) (* -2 (/ (pow a 2) (pow b 2))))))))) |
(+ 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 (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) |
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
(+ (* -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) (+ (* -1 (/ (pow b 2) c)) (/ (pow b 2) c)))) |
(* c (- (/ b (* a c)) (/ 1 b))) |
(* 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 (* a c))) (/ 1 b))) |
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))) |
(* -1 (* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))) |
(* (pow c 2) (- (* -1 (/ a (pow b 2))) (/ 1 c))) |
(* c (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4))))) |
(* c (+ (* -4 a) (+ (* 2 (/ (pow b 2) c)) (* (sqrt (/ a c)) (* b (sqrt -4)))))) |
(* c (+ (* -4 a) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (+ (* 2 (/ (pow b 2) c)) (* (sqrt (/ a c)) (* b (sqrt -4))))))) |
(* c (+ (* -4 a) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (+ (* 2 (/ (pow b 2) c)) (* (sqrt (/ a c)) (* b (sqrt -4)))))))) |
(* c (+ (* -4 a) (+ (* (sqrt (/ a c)) (* b (sqrt -4))) (/ (pow b 2) c)))) |
(* c (+ (* -4 a) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (+ (* (sqrt (/ a c)) (* b (sqrt -4))) (/ (pow b 2) c))))) |
(* c (+ (* -4 a) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (+ (* (sqrt (/ a c)) (* b (sqrt -4))) (/ (pow b 2) 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 (+ (* (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))))) |
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(+ (* -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 (/ (+ (* -1 (pow b 2)) (pow b 2)) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))) |
(* -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 (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))) |
(* -1 (* c (+ (* -2 (/ (pow b 2) c)) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 3) (sqrt -1)))) (* 2 (pow b 2))) c)) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 5) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 3) (sqrt -1))))) c)) (* 2 (pow b 2))) c)) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 3) (sqrt -1)))) (pow b 2)) c)) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 5) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 3) (sqrt -1))))) c)) (pow b 2)) c)) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) |
(* -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 (/ 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)))))) |
(* -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 |
|---|
(* 1/4 (/ (+ (* -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 (/.f64 c b) #s(literal -2 binary64) (*.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 (/.f64 c b) #s(literal -2 binary64) (*.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 (/.f64 c b) #s(literal -2 binary64) (*.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 (fma.f64 (neg.f64 (*.f64 c c)) (/.f64 (fma.f64 (/.f64 c b) #s(literal -2 binary64) (*.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))) (fma.f64 (/.f64 (fma.f64 (neg.f64 c) (/.f64 (fma.f64 (/.f64 c b) #s(literal -2 binary64) (*.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) (*.f64 (neg.f64 (pow.f64 c #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) (pow.f64 b #s(literal 7 binary64)))))) a (fma.f64 (neg.f64 c) (/.f64 (fma.f64 (/.f64 c b) #s(literal -2 binary64) (*.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 (/.f64 c b) #s(literal -2 binary64) (*.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) |
(* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) 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 (/.f64 c b) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) c) (pow.f64 b #s(literal 3 binary64))))) a (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) 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 (/.f64 c b) #s(literal -2 binary64) (fma.f64 (neg.f64 a) (fma.f64 (neg.f64 c) (/.f64 (fma.f64 (/.f64 c b) #s(literal -2 binary64) (*.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 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) c) (pow.f64 b #s(literal 3 binary64)))))) a (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) 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)))))) |
(fma.f64 (fma.f64 (/.f64 c b) #s(literal -2 binary64) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (neg.f64 (*.f64 c c)) (/.f64 (fma.f64 (/.f64 c b) #s(literal -2 binary64) (*.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))) (fma.f64 (/.f64 (fma.f64 (neg.f64 c) (/.f64 (fma.f64 (/.f64 c b) #s(literal -2 binary64) (*.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) (*.f64 (neg.f64 (pow.f64 c #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) (pow.f64 b #s(literal 7 binary64))))))) (fma.f64 (neg.f64 c) (/.f64 (fma.f64 (/.f64 c b) #s(literal -2 binary64) (*.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 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) c) (pow.f64 b #s(literal 3 binary64)))))) a (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) b))) |
(+ (* -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 #s(literal 0 binary64) (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) |
(* -4 (* a c)) |
(*.f64 (*.f64 a c) #s(literal -4 binary64)) |
(/ b a) |
(/.f64 b a) |
(/ (+ b (* -1 (/ (* a c) b))) a) |
(/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) b) a) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(fma.f64 (neg.f64 a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 (neg.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) (neg.f64 (/.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 (neg.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)) |
(* -1 (/ b a)) |
(/.f64 (neg.f64 b) a) |
(/ (- (/ (* a c) b) b) a) |
(/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a) |
(* -1 c) |
(neg.f64 c) |
(- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) |
(-.f64 (*.f64 (neg.f64 a) (*.f64 (/.f64 c b) (/.f64 c b))) c) |
(+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) |
(fma.f64 (neg.f64 a) (*.f64 (/.f64 c b) (/.f64 c b)) (neg.f64 c)) |
(+ (* 2 (pow b 2)) (pow b 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 b b)) |
(+ (* 2 (pow b 2)) (+ (* a (+ (* -4 c) (* -2 c))) (pow b 2))) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (fma.f64 (*.f64 c #s(literal -6 binary64)) a (*.f64 b b))) |
(+ (* 2 (pow b 2)) (+ (* a (+ (* -4 c) (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2)))))) (pow b 2))) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (fma.f64 (fma.f64 c #s(literal -6 binary64) (*.f64 (/.f64 #s(literal -2 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b))) a (*.f64 b b))) |
(+ (* 2 (pow b 2)) (+ (* a (+ (* -4 c) (+ (* -2 c) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 4))) (* -2 (/ (pow c 2) (pow b 2)))))))) (pow b 2))) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (fma.f64 (fma.f64 c #s(literal -6 binary64) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (/.f64 (*.f64 c c) b) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 4 binary64)))) a)) a (*.f64 b b))) |
(* 2 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 2 binary64)) |
(+ (* 2 (pow b 2)) (* a (+ (* -4 c) (* -2 c)))) |
(fma.f64 (*.f64 c #s(literal -6 binary64)) a (*.f64 (*.f64 b b) #s(literal 2 binary64))) |
(+ (* 2 (pow b 2)) (* a (+ (* -4 c) (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2))))))) |
(fma.f64 (fma.f64 c #s(literal -6 binary64) (*.f64 (/.f64 #s(literal -2 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b))) a (*.f64 (*.f64 b b) #s(literal 2 binary64))) |
(+ (* 2 (pow b 2)) (* a (+ (* -4 c) (+ (* -2 c) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 4))) (* -2 (/ (pow c 2) (pow b 2))))))))) |
(fma.f64 (fma.f64 c #s(literal -6 binary64) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (/.f64 (*.f64 c c) b) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 4 binary64)))) a)) a (*.f64 (*.f64 b 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 (/.f64 c b) #s(literal -2 binary64))) a 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 (/.f64 c b) #s(literal -2 binary64))) a (*.f64 #s(literal 2 binary64) b)) |
(* -1 (/ (* a c) (pow b 2))) |
(*.f64 (neg.f64 a) (/.f64 c (*.f64 b b))) |
(* 2 (/ (* a c) b)) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) |
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 c b))) a) |
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (*.f64 #s(literal 2 binary64) (/.f64 c b))) a) |
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) |
(*.f64 (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 1/2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))))) a (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (*.f64 #s(literal 2 binary64) (/.f64 c b))) a) |
(* -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 a c))) (/.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) |
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(* -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)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) b) 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)) (neg.f64 (/.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) c)))) |
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (-.f64 (/.f64 (neg.f64 b) c) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64)))) |
(* -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 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) b) c) #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a 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 (fma.f64 (/.f64 (fma.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))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))))) c) #s(literal -1 binary64) b) c) #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 450 |
| 0 | 106 | 444 |
| 1 | 403 | 373 |
| 2 | 2894 | 373 |
| 0 | 8715 | 366 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) |
#s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
(*.f64 (*.f64 c a) #s(literal -4 binary64)) |
(/.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 (neg.f64 c) (/.f64 b (*.f64 b b)) (/.f64 b a)) |
(/.f64 b (*.f64 b b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (fma.f64 (neg.f64 c) (/.f64 b (*.f64 b b)) (/.f64 b a)))) |
(neg.f64 (fma.f64 (neg.f64 c) (/.f64 b (*.f64 b b)) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(approx (neg (+ (* (/ (* c c) b) (/ a b)) c)) (*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) c)) b)) |
(/.f64 #s(approx (neg (+ (* (/ (* c c) b) (/ a b)) c)) (*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) c)) b) |
#s(approx (neg (+ (* (/ (* c c) b) (/ a b)) c)) (*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) c)) |
(*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) c) |
(*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)))) |
(fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (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))) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) |
(neg.f64 c) |
(/.f64 c (*.f64 b b)) |
(*.f64 (neg.f64 a) (/.f64 c (*.f64 b b))) |
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) |
| Outputs |
|---|
(/.f64 (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) a) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) #s(literal 2 binary64))) (neg.f64 a)) |
(/.f64 (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) #s(literal 2 binary64)) a) |
(/.f64 (neg.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a))) (*.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (neg.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)))) |
(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) (neg.f64 (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) (*.f64 (*.f64 #s(literal 2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) |
(neg.f64 (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) (*.f64 #s(literal -2 binary64) a))) |
(*.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) (fma.f64 (*.f64 a #s(literal -4 binary64)) c (fma.f64 b b (*.f64 (neg.f64 b) b)))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) |
(*.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64)))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a)))) (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)))) |
(/.f64 (neg.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a))) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) |
(/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) |
(neg.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)))) |
#s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) |
(*.f64 (*.f64 a #s(literal -4 binary64)) c) |
(*.f64 (*.f64 c #s(literal -4 binary64)) a) |
(*.f64 (*.f64 a c) #s(literal -4 binary64)) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
#s(literal 0 binary64) |
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 a)) #s(literal 0 binary64)) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 b #s(literal -1 binary64)) c) #s(literal 3 binary64)) (fma.f64 (/.f64 b a) (-.f64 (/.f64 b a) (*.f64 (/.f64 (neg.f64 c) b) #s(literal 1 binary64))) (pow.f64 (*.f64 (pow.f64 b #s(literal -1 binary64)) c) #s(literal 2 binary64))) (*.f64 (fma.f64 (/.f64 b a) (-.f64 (/.f64 b a) (*.f64 (/.f64 (neg.f64 c) b) #s(literal 1 binary64))) (pow.f64 (*.f64 (pow.f64 b #s(literal -1 binary64)) c) #s(literal 2 binary64))) (pow.f64 (/.f64 b a) #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 b a) (-.f64 (/.f64 b a) (*.f64 (/.f64 (neg.f64 c) b) #s(literal 1 binary64))) (pow.f64 (*.f64 (pow.f64 b #s(literal -1 binary64)) c) #s(literal 2 binary64))) (fma.f64 (/.f64 b a) (-.f64 (/.f64 b a) (*.f64 (/.f64 (neg.f64 c) b) #s(literal 1 binary64))) (pow.f64 (*.f64 (pow.f64 b #s(literal -1 binary64)) c) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 c) b) b) (neg.f64 (neg.f64 a)) (*.f64 b (neg.f64 (neg.f64 b)))) (*.f64 b (neg.f64 (neg.f64 a)))) |
(/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 c) b) b) (neg.f64 a) (*.f64 (neg.f64 b) b)) (*.f64 b (neg.f64 a))) |
(/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 c) b) b) a (*.f64 b b)) (*.f64 b a)) |
(/.f64 (fma.f64 (/.f64 (*.f64 c b) b) (neg.f64 (neg.f64 a)) (*.f64 (neg.f64 b) b)) (*.f64 (neg.f64 b) (neg.f64 (neg.f64 a)))) |
(/.f64 (fma.f64 (/.f64 (*.f64 c b) b) (neg.f64 a) (*.f64 b b)) (*.f64 (neg.f64 b) (neg.f64 a))) |
(/.f64 (fma.f64 (/.f64 (*.f64 c b) b) a (*.f64 (neg.f64 b) b)) (*.f64 (neg.f64 b) a)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 c)) (neg.f64 (neg.f64 a)) (*.f64 b (neg.f64 (neg.f64 b)))) (*.f64 b (neg.f64 (neg.f64 a)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 c)) (neg.f64 a) (*.f64 (neg.f64 b) b)) (*.f64 b (neg.f64 a))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 c)) a (*.f64 b b)) (*.f64 b a)) |
(/.f64 (fma.f64 (*.f64 (neg.f64 b) (neg.f64 c)) (neg.f64 (neg.f64 a)) (*.f64 (*.f64 (neg.f64 b) b) (neg.f64 (neg.f64 b)))) (*.f64 (*.f64 (neg.f64 b) b) (neg.f64 (neg.f64 a)))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 b) (neg.f64 c)) (neg.f64 a) (*.f64 (*.f64 (neg.f64 b) b) (neg.f64 b))) (*.f64 (*.f64 (neg.f64 b) b) (neg.f64 a))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 b) (neg.f64 c)) a (*.f64 (*.f64 (neg.f64 b) b) b)) (*.f64 (*.f64 (neg.f64 b) b) a)) |
(/.f64 (fma.f64 (*.f64 (neg.f64 c) #s(literal 1 binary64)) (neg.f64 (neg.f64 a)) (*.f64 b (neg.f64 (neg.f64 b)))) (*.f64 b (neg.f64 (neg.f64 a)))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 c) #s(literal 1 binary64)) (neg.f64 a) (*.f64 (neg.f64 b) b)) (*.f64 b (neg.f64 a))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 c) #s(literal 1 binary64)) a (*.f64 b b)) (*.f64 b a)) |
(/.f64 (fma.f64 (*.f64 (neg.f64 c) (neg.f64 b)) (neg.f64 (neg.f64 a)) (*.f64 (*.f64 (neg.f64 b) b) (neg.f64 (neg.f64 b)))) (*.f64 (*.f64 (neg.f64 b) b) (neg.f64 (neg.f64 a)))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 c) (neg.f64 b)) (neg.f64 a) (*.f64 (*.f64 (neg.f64 b) b) (neg.f64 b))) (*.f64 (*.f64 (neg.f64 b) b) (neg.f64 a))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 c) (neg.f64 b)) a (*.f64 (*.f64 (neg.f64 b) b) b)) (*.f64 (*.f64 (neg.f64 b) b) a)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (neg.f64 c) b)) (neg.f64 (neg.f64 a)) (*.f64 (*.f64 (neg.f64 b) b) (neg.f64 (neg.f64 b)))) (*.f64 (*.f64 (neg.f64 b) b) (neg.f64 (neg.f64 a)))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (neg.f64 c) b)) (neg.f64 a) (*.f64 (*.f64 (neg.f64 b) b) (neg.f64 b))) (*.f64 (*.f64 (neg.f64 b) b) (neg.f64 a))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (neg.f64 c) b)) a (*.f64 (*.f64 (neg.f64 b) b) b)) (*.f64 (*.f64 (neg.f64 b) b) a)) |
(/.f64 (fma.f64 (*.f64 (neg.f64 c) b) (neg.f64 (neg.f64 a)) (*.f64 (*.f64 b b) (neg.f64 (neg.f64 b)))) (*.f64 (*.f64 b b) (neg.f64 (neg.f64 a)))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 c) b) (neg.f64 a) (pow.f64 b #s(literal 3 binary64))) (*.f64 (*.f64 b b) (neg.f64 a))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 b)) b (*.f64 (neg.f64 (neg.f64 a)) (/.f64 (*.f64 (neg.f64 c) b) b))) (*.f64 (neg.f64 (neg.f64 a)) b)) |
(/.f64 (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 (neg.f64 a)) (/.f64 (*.f64 c b) b))) (*.f64 (neg.f64 (neg.f64 a)) (neg.f64 b))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 b)) b (*.f64 (neg.f64 (neg.f64 a)) (*.f64 #s(literal 1 binary64) (neg.f64 c)))) (*.f64 (neg.f64 (neg.f64 a)) b)) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 b)) (*.f64 (neg.f64 b) b) (*.f64 (neg.f64 (neg.f64 a)) (*.f64 (neg.f64 b) (neg.f64 c)))) (*.f64 (neg.f64 (neg.f64 a)) (*.f64 (neg.f64 b) b))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 b)) b (*.f64 (neg.f64 (neg.f64 a)) (*.f64 (neg.f64 c) #s(literal 1 binary64)))) (*.f64 (neg.f64 (neg.f64 a)) b)) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 b)) (*.f64 (neg.f64 b) b) (*.f64 (neg.f64 (neg.f64 a)) (*.f64 (neg.f64 c) (neg.f64 b)))) (*.f64 (neg.f64 (neg.f64 a)) (*.f64 (neg.f64 b) b))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 b)) (*.f64 (neg.f64 b) b) (*.f64 (neg.f64 (neg.f64 a)) (neg.f64 (*.f64 (neg.f64 c) b)))) (*.f64 (neg.f64 (neg.f64 a)) (*.f64 (neg.f64 b) b))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 b)) (*.f64 b b) (*.f64 (neg.f64 (neg.f64 a)) (*.f64 (neg.f64 c) b))) (*.f64 (neg.f64 (neg.f64 a)) (*.f64 b b))) |
(/.f64 (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) (/.f64 (*.f64 (neg.f64 c) b) b))) (*.f64 (neg.f64 a) b)) |
(/.f64 (fma.f64 b b (*.f64 (neg.f64 a) (/.f64 (*.f64 c b) b))) (*.f64 (neg.f64 a) (neg.f64 b))) |
(/.f64 (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) (*.f64 #s(literal 1 binary64) (neg.f64 c)))) (*.f64 (neg.f64 a) b)) |
(/.f64 (fma.f64 (neg.f64 b) (*.f64 (neg.f64 b) b) (*.f64 (neg.f64 a) (*.f64 (neg.f64 b) (neg.f64 c)))) (*.f64 (neg.f64 a) (*.f64 (neg.f64 b) b))) |
(/.f64 (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) (*.f64 (neg.f64 c) #s(literal 1 binary64)))) (*.f64 (neg.f64 a) b)) |
(/.f64 (fma.f64 (neg.f64 b) (*.f64 (neg.f64 b) b) (*.f64 (neg.f64 a) (*.f64 (neg.f64 c) (neg.f64 b)))) (*.f64 (neg.f64 a) (*.f64 (neg.f64 b) b))) |
(/.f64 (fma.f64 (neg.f64 b) (*.f64 (neg.f64 b) b) (*.f64 (neg.f64 a) (neg.f64 (*.f64 (neg.f64 c) b)))) (*.f64 (neg.f64 a) (*.f64 (neg.f64 b) b))) |
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 (neg.f64 a) (*.f64 (neg.f64 c) b))) (*.f64 (neg.f64 a) (*.f64 b b))) |
(/.f64 (fma.f64 b b (*.f64 a (/.f64 (*.f64 (neg.f64 c) b) b))) (*.f64 a b)) |
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(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (sinh.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))) |
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) |
(*.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64))) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/2 binary64)) |
(/.f64 (fabs.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) #s(literal 2 binary64))))) (fabs.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))))) |
(/.f64 (fabs.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))) (fabs.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 (neg.f64 b) b))))) |
(/.f64 (fabs.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) #s(literal 3 binary64))))) (fabs.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 (fabs.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fabs.f64 (sqrt.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (*.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) #s(literal 2 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 (neg.f64 b) b))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) #s(literal 3 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (*.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) (*.f64 (neg.f64 b) b)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 (neg.f64 b) b)))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) b) b))))) |
(/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (*.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)))))) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) |
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) |
(fabs.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (sinh.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))) |
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) |
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64))) (fma.f64 b b (-.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)))) |
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) |
(/.f64 (fma.f64 b b (neg.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) |
(/.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (fma.f64 b b (*.f64 (neg.f64 b) b))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) |
(fma.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64))) b) |
(fma.f64 (fabs.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64))) b) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 b))) (sqrt.f64 (neg.f64 (neg.f64 b))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) |
(fma.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 (neg.f64 b)) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) |
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) |
(fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) b) |
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) b) |
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) #s(literal 1/2 binary64)) b) |
(fma.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64)) b) |
(-.f64 (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) |
(+.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) |
(+.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) |
(neg.f64 c) |
(/.f64 (/.f64 (neg.f64 c) b) (neg.f64 b)) |
(/.f64 (/.f64 c (neg.f64 b)) (neg.f64 b)) |
(/.f64 (neg.f64 (/.f64 c b)) (neg.f64 b)) |
(/.f64 (neg.f64 (neg.f64 c)) (*.f64 b b)) |
(/.f64 (/.f64 c b) b) |
(/.f64 (neg.f64 c) (*.f64 (neg.f64 b) b)) |
(/.f64 c (*.f64 b b)) |
(neg.f64 (/.f64 c (*.f64 (neg.f64 b) b))) |
(*.f64 (/.f64 (neg.f64 a) b) (/.f64 c b)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 a) b) (/.f64 c b))) |
(*.f64 (*.f64 (/.f64 (neg.f64 a) b) (/.f64 c b)) #s(literal 1 binary64)) |
(*.f64 (/.f64 c (*.f64 b b)) (*.f64 (neg.f64 a) #s(literal 1 binary64))) |
(*.f64 (/.f64 c (*.f64 b b)) (neg.f64 a)) |
(*.f64 (neg.f64 a) (*.f64 (/.f64 c (*.f64 b b)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 a) (/.f64 c (*.f64 b b))) |
(*.f64 (/.f64 a b) (/.f64 c (neg.f64 b))) |
(*.f64 a (neg.f64 (/.f64 c (*.f64 b b)))) |
(/.f64 (/.f64 (*.f64 (neg.f64 a) c) b) b) |
(/.f64 (/.f64 (*.f64 a c) b) (neg.f64 b)) |
(/.f64 (*.f64 (/.f64 c b) (neg.f64 a)) b) |
(/.f64 (*.f64 (neg.f64 c) (neg.f64 a)) (*.f64 (neg.f64 b) b)) |
(/.f64 (*.f64 (*.f64 (neg.f64 a) c) #s(literal 1 binary64)) (*.f64 b b)) |
(/.f64 (*.f64 (neg.f64 a) (/.f64 c b)) b) |
(/.f64 (*.f64 (neg.f64 a) (neg.f64 c)) (*.f64 (neg.f64 b) b)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 a) c)) (*.f64 (neg.f64 b) b)) |
(/.f64 (*.f64 (neg.f64 a) c) (*.f64 b b)) |
(/.f64 (*.f64 a c) (*.f64 (neg.f64 b) b)) |
(neg.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) a) #s(literal 1 binary64))) |
(neg.f64 (*.f64 (/.f64 c (*.f64 b b)) a)) |
(*.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 a #s(literal -4 binary64)) c (fma.f64 b b (*.f64 (neg.f64 b) b)))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) |
(*.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64)))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) |
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64))) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) |
(-.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (/.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) |
(-.f64 (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) |
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) |
Compiled 79 357 to 4 645 computations (94.1% saved)
22 alts after pruning (13 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 016 | 3 | 1 019 |
| Fresh | 1 | 10 | 11 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1 019 | 22 | 1 041 |
| Status | Accuracy | Program |
|---|---|---|
| 31.8% | (/.f64 (fma.f64 b a (*.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) a) a)) | |
| ✓ | 47.0% | (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | 49.4% | (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
| 28.5% | (/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 #s(literal -2 binary64) a)) | |
| 29.5% | (/.f64 (*.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64)))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) | |
| 33.1% | (/.f64 #s(approx (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a)) | |
| 32.9% | (/.f64 #s(approx (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (*.f64 c (/.f64 a b)) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) a)) | |
| ✓ | 36.7% | (/.f64 #s(approx (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) a)) |
| 42.8% | (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) | |
| 30.5% | (*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 (fma.f64 b b (fma.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)))) | |
| 40.0% | (*.f64 (/.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 #s(literal -2 binary64) a)) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) | |
| 11.2% | #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))) | |
| 42.6% | #s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 c) b)) | |
| ✓ | 36.9% | #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)) |
| 37.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 #s(approx (+ (* (/ (* c c) b) (/ a b)) c) (*.f64 (fma.f64 (/.f64 c b) (/.f64 c b) (/.f64 c a)) a))) b)) | |
| ✓ | 31.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
| ✓ | 40.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(approx (neg (+ (* (/ (* c c) b) (/ a b)) c)) (*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) c)) b)) |
| ✓ | 31.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (fma.f64 (neg.f64 c) (/.f64 b (*.f64 b b)) (/.f64 b a)))) |
| ✓ | 32.0% | #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))) |
| ✓ | 10.8% | #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))) |
| 32.0% | #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)))) | |
| 31.8% | #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 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b))) |
Compiled 2 065 to 706 computations (65.8% 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 (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -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))) |
#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 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b))) |
(/.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 (neg.f64 c) (/.f64 b (*.f64 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)))) |
(/.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) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (*.f64 c (/.f64 a b)) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.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)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(approx (neg (+ (* (/ (* c c) b) (/ a b)) c)) (*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) c)) b)) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) 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 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 #s(approx (+ (* (/ (* c c) b) (/ a b)) c) (*.f64 (fma.f64 (/.f64 c b) (/.f64 c b) (/.f64 c a)) a))) b)) |
(/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) |
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 b b))))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) #s(literal 0 binary64))) (+.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 b a (*.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) a) a)) |
(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (*.f64 (*.f64 #s(literal 2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))) |
(/.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 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 (fma.f64 b b (fma.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)))) |
(*.f64 (/.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 #s(literal -2 binary64) a)) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) |
(*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) 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))) |
(/.f64 (*.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64)))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 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 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) 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:
| 13.0ms | (/.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)) |
| 10.0ms | c |
| 10.0ms | b |
| 10.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.1% | 4 | a |
| 87.5% | 4 | b |
| 54.4% | 3 | c |
| 79.3% | 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)) |
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 (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -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))) |
#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 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b))) |
(/.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 (neg.f64 c) (/.f64 b (*.f64 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)))) |
(/.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) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (*.f64 c (/.f64 a b)) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.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)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(approx (neg (+ (* (/ (* c c) b) (/ a b)) c)) (*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) c)) b)) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) 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 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 #s(approx (+ (* (/ (* c c) b) (/ a b)) c) (*.f64 (fma.f64 (/.f64 c b) (/.f64 c b) (/.f64 c a)) a))) b)) |
(/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) |
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 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 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
1 calls:
| 7.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.8% | 4 | 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 (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -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))) |
#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 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b))) |
(/.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 (neg.f64 c) (/.f64 b (*.f64 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)))) |
(/.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) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (*.f64 c (/.f64 a b)) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.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)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(approx (neg (+ (* (/ (* c c) b) (/ a b)) c)) (*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) c)) b)) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) 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 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 #s(approx (+ (* (/ (* c c) b) (/ a b)) c) (*.f64 (fma.f64 (/.f64 c b) (/.f64 c b) (/.f64 c a)) a))) b)) |
| 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 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 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)) |
1 calls:
| 7.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.2% | 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 (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -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))) |
#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 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b))) |
(/.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 (neg.f64 c) (/.f64 b (*.f64 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)))) |
(/.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) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (*.f64 c (/.f64 a b)) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.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)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(approx (neg (+ (* (/ (* c c) b) (/ a b)) c)) (*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) c)) b)) |
| 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 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.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:
| 6.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.1% | 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 (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -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))) |
#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 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b))) |
(/.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 (neg.f64 c) (/.f64 b (*.f64 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)))) |
(/.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) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (*.f64 c (/.f64 a b)) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) 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)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
2 calls:
| 6.0ms | (/.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)) |
| 5.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.4% | 4 | (/.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)) |
| 72.5% | 2 | b |
Compiled 18 to 17 computations (5.6% 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 (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -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:
| 3.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.1% | 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 |
|---|---|---|
| 31.8% | 1 | c |
| 31.8% | 1 | a |
| 31.8% | 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)) |
| 40.4% | 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:
| 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)) |
| 2.0ms | b |
| 2.0ms | c |
| 2.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 11.2% | 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)) |
| 11.2% | 1 | a |
| 11.2% | 1 | c |
| 11.2% | 1 | b |
Compiled 20 to 23 computations (-15% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 1.2988526775066703e-31 | 2.2695160380295264e-31 |
| 42.0ms | 2.4366644671728616e-205 | 1.6658170860655242e-191 |
| 18.0ms | -9.441883626108983e+104 | -2.4270212445749655e+102 |
| 25.0ms | 286× | 0 | valid |
| 6.0ms | 45× | 1 | valid |
| 6.0ms | 75× | 0 | invalid |
| 4.0ms | 21× | 2 | valid |
Compiled 1 194 to 884 computations (26% saved)
ival-mult: 10.0ms (38.4% of total)ival-div: 3.0ms (11.5% of total)ival-sqrt: 3.0ms (11.5% of total)adjust: 2.0ms (7.7% of total)ival-sub: 2.0ms (7.7% of total)ival-add: 2.0ms (7.7% of total)ival-neg: 2.0ms (7.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 1.2988526775066703e-31 | 2.2695160380295264e-31 |
| 33.0ms | 9.384151921223504e-107 | 1.3089874996339306e-101 |
| 1.0ms | -9.441883626108983e+104 | -2.4270212445749655e+102 |
| 14.0ms | 36× | 2 | valid |
| 9.0ms | 112× | 0 | valid |
| 6.0ms | 44× | 1 | valid |
| 3.0ms | 39× | 0 | invalid |
Compiled 1 143 to 846 computations (26% saved)
ival-mult: 6.0ms (34.2% of total)ival-div: 2.0ms (11.4% of total)adjust: 2.0ms (11.4% of total)ival-sub: 2.0ms (11.4% of total)ival-sqrt: 2.0ms (11.4% of total)ival-add: 2.0ms (11.4% of total)ival-neg: 1.0ms (5.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 32.0ms | 5.0666603550249806e-95 | 1.3406313343210844e-90 |
| 1.0ms | -9.441883626108983e+104 | -2.4270212445749655e+102 |
| 15.0ms | 73× | 0 | valid |
| 6.0ms | 39× | 1 | valid |
| 3.0ms | 16× | 2 | valid |
| 3.0ms | 32× | 0 | invalid |
Compiled 748 to 580 computations (22.5% saved)
ival-add: 10.0ms (47.5% of total)ival-mult: 4.0ms (19% of total)ival-div: 2.0ms (9.5% of total)ival-sqrt: 2.0ms (9.5% of total)adjust: 1.0ms (4.7% of total)ival-sub: 1.0ms (4.7% of total)ival-neg: 1.0ms (4.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 5.0666603550249806e-95 | 1.3406313343210844e-90 |
| 21.0ms | -4.296863951034219e-83 | -7.880059207881838e-84 |
| 14.0ms | 96× | 0 | valid |
| 2.0ms | 23× | 0 | invalid |
Compiled 738 to 572 computations (22.5% saved)
ival-mult: 10.0ms (75.6% of total)ival-div: 1.0ms (7.6% of total)ival-add: 1.0ms (7.6% of total)ival-sub: 1.0ms (7.6% of total)ival-sqrt: 1.0ms (7.6% of total)ival-neg: 1.0ms (7.6% 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 |
|---|---|---|
| 33.0ms | -1.6525943861868365e-301 | 2.4157968092155093e-298 |
| 12.0ms | 86× | 0 | invalid |
| 12.0ms | 160× | 0 | valid |
Compiled 630 to 460 computations (27% saved)
ival-mult: 5.0ms (40.2% of total)ival-div: 2.0ms (16.1% of total)ival-sqrt: 2.0ms (16.1% of total)ival-add: 1.0ms (8% of total)ival-sub: 1.0ms (8% of total)ival-neg: 1.0ms (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 |
|---|---|---|
| 1.0ms | -1.6525943861868365e-301 | 2.4157968092155093e-298 |
Compiled 460 to 380 computations (17.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -1.6525943861868365e-301 | 2.4157968092155093e-298 |
Compiled 610 to 430 computations (29.5% saved)
| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 99 | 632 |
| 1 | 166 | 623 |
| 2 | 362 | 589 |
| 3 | 1069 | 571 |
| 4 | 3167 | 567 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 b #s(literal -599999999999999937492030790988111045840645313566047673833294806699119762143004211252326069460636125888512 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 92463326394405/10273702932711667006330058365000251299903007427389011444332579888806117488861485980690754953667164943802701111047223081470741078613640241920171513223929454785068796232672743355843093277117817807170494632296448 binary64)) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) (if (<=.f64 b #s(literal 35681192317649/178405961588244985132285746181186892047843328 binary64)) (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) 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 -599999999999999937492030790988111045840645313566047673833294806699119762143004211252326069460636125888512 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 5083804447483601/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168 binary64)) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) (if (<=.f64 b #s(literal 3311214647077827/22835963083295358096932575511191922182123945984 binary64)) (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))))) |
(if (<=.f64 b #s(literal -599999999999999937492030790988111045840645313566047673833294806699119762143004211252326069460636125888512 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 3816381697007479/293567822846729153486185074598667128421960318613539983838411371441526128139326055432962374798096087878991872 binary64)) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 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 -3827688768370271/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728 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 3816381697007479/293567822846729153486185074598667128421960318613539983838411371441526128139326055432962374798096087878991872 binary64)) (/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.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 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 -599999999999999937492030790988111045840645313566047673833294806699119762143004211252326069460636125888512 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 92463326394405/10273702932711667006330058365000251299903007427389011444332579888806117488861485980690754953667164943802701111047223081470741078613640241920171513223929454785068796232672743355843093277117817807170494632296448 binary64)) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) (if (<=.f64 b #s(literal 35681192317649/178405961588244985132285746181186892047843328 binary64)) (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) 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 -599999999999999937492030790988111045840645313566047673833294806699119762143004211252326069460636125888512 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 5083804447483601/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168 binary64)) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) (if (<=.f64 b #s(literal 3311214647077827/22835963083295358096932575511191922182123945984 binary64)) (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))))) |
(if (<=.f64 b #s(literal -599999999999999937492030790988111045840645313566047673833294806699119762143004211252326069460636125888512 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 3816381697007479/293567822846729153486185074598667128421960318613539983838411371441526128139326055432962374798096087878991872 binary64)) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 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 -3827688768370271/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728 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 3816381697007479/293567822846729153486185074598667128421960318613539983838411371441526128139326055432962374798096087878991872 binary64)) (/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.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 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 | 545 | 2842 |
| 1 | 1916 | 2807 |
| 2 | 7910 | 2807 |
| 0 | 8090 | 2667 |
| 0 | 14 | 51 |
| 0 | 23 | 51 |
| 1 | 74 | 51 |
| 2 | 504 | 50 |
| 3 | 6317 | 49 |
| 0 | 8274 | 45 |
| 0 | 1515 | 10334 |
| 1 | 5700 | 10169 |
| 0 | 8114 | 9659 |
| 0 | 63 | 430 |
| 0 | 92 | 424 |
| 1 | 329 | 389 |
| 2 | 2371 | 389 |
| 0 | 8824 | 385 |
| 0 | 1281 | 8536 |
| 1 | 4755 | 7688 |
| 0 | 8416 | 7306 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 930 to 343 computations (63.1% saved)
Compiled 1 516 to 288 computations (81% saved)
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