
Time bar (total: 7.9s)
| 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)
| 446.0ms | 5 551× | 0 | valid |
| 235.0ms | 1 218× | 2 | valid |
| 200.0ms | 1 305× | 1 | valid |
| 72.0ms | 943× | 0 | invalid |
| 42.0ms | 182× | 3 | valid |
ival-mult: 231.0ms (31.4% of total)ival-sqrt: 105.0ms (14.3% of total)ival-div: 93.0ms (12.7% of total)ival-sub: 87.0ms (11.8% of total)adjust: 82.0ms (11.2% of total)ival-add: 62.0ms (8.4% of total)ival-neg: 55.0ms (7.5% of total)exact: 10.0ms (1.4% of total)ival-true: 7.0ms (1% of total)ival-assert: 4.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 113 | 0 | - | 2 | (-3.07046296423305e-201 1.2091148446223392e-160 4.853367385524828e-190) | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) |
| 62 | 0 | - | 0 | - | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
| 8 | 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)) |
| 4 | 0 | - | 0 | - | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 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 | 103 | 0 |
| ↳ | (*.f64 b b) | overflow | 81 | |
| ↳ | (*.f64 #s(literal 4 binary64) (*.f64 a c)) | overflow | 29 | |
| ↳ | (*.f64 a c) | overflow | 29 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) | overflow | 103 | |
+.f64 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) | cancellation | 62 | 0 |
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) | uflow-rescue | 8 | 0 |
| ↳ | (*.f64 b b) | underflow | 43 | |
| ↳ | (*.f64 #s(literal 4 binary64) (*.f64 a c)) | underflow | 47 | |
| ↳ | (*.f64 a c) | underflow | 47 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) | underflow | 8 | |
/.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 | 8 | 0 |
| ↳ | (*.f64 b b) | underflow | 43 | |
| ↳ | (*.f64 #s(literal 4 binary64) (*.f64 a c)) | underflow | 47 | |
| ↳ | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) | underflow | 18 | |
| ↳ | (*.f64 a c) | underflow | 47 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) | underflow | 8 | |
-.f64 | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) | nan-rescue | 4 | 0 |
| ↳ | (*.f64 b b) | overflow | 81 | |
| ↳ | (*.f64 #s(literal 4 binary64) (*.f64 a c)) | overflow | 29 | |
| ↳ | (*.f64 a c) | overflow | 29 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 131 | 0 |
| - | 24 | 101 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 131 | 0 | 0 |
| - | 24 | 0 | 101 |
| number | freq |
|---|---|
| 0 | 101 |
| 1 | 127 |
| 2 | 26 |
| 3 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 34.0ms | 356× | 0 | valid |
| 18.0ms | 98× | 1 | valid |
| 11.0ms | 50× | 2 | valid |
| 2.0ms | 8× | 3 | valid |
Compiled 231 to 60 computations (74% saved)
ival-mult: 13.0ms (30.9% of total)ival-div: 7.0ms (16.6% of total)ival-sqrt: 6.0ms (14.2% of total)ival-neg: 5.0ms (11.9% of total)adjust: 4.0ms (9.5% of total)ival-sub: 3.0ms (7.1% of total)ival-add: 3.0ms (7.1% of total)exact: 1.0ms (2.4% 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 | 161 | 144 |
| 2 | 421 | 144 |
| 3 | 1255 | 144 |
| 4 | 3247 | 144 |
| 5 | 6134 | 144 |
| 6 | 7900 | 144 |
| 0 | 14 | 17 |
| 0 | 23 | 17 |
| 1 | 41 | 16 |
| 2 | 74 | 16 |
| 3 | 156 | 16 |
| 4 | 232 | 16 |
| 5 | 370 | 16 |
| 6 | 657 | 16 |
| 7 | 1131 | 16 |
| 8 | 2291 | 16 |
| 9 | 2611 | 16 |
| 10 | 2731 | 16 |
| 11 | 2786 | 16 |
| 12 | 2787 | 16 |
| 13 | 2787 | 16 |
| 14 | 2793 | 16 |
| 0 | 2793 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #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 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) |
Compiled 17 to 14 computations (17.6% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 51.7% | (/.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 (+.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 | 128 | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) | |
| cost-diff | 128 | (+.f64 (neg.f64 b) (sqrt.f64 (-.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 | 41 | 68 |
| 2 | 74 | 68 |
| 3 | 156 | 68 |
| 4 | 232 | 68 |
| 5 | 370 | 68 |
| 6 | 657 | 68 |
| 7 | 1131 | 68 |
| 8 | 2291 | 68 |
| 9 | 2611 | 68 |
| 10 | 2731 | 68 |
| 11 | 2786 | 68 |
| 12 | 2787 | 68 |
| 13 | 2787 | 68 |
| 14 | 2793 | 68 |
| 0 | 2793 | 64 |
| 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 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) |
(+.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))) 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 a) #s(literal 4 binary64)) |
#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 | 0.8046875000000001 | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) | |
| accuracy | 2.023778290242288 | (/.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 | 14.187871277436622 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) | |
| accuracy | 26.17667057714975 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) |
| 26.0ms | 178× | 0 | valid |
| 8.0ms | 49× | 1 | valid |
| 6.0ms | 25× | 2 | valid |
| 1.0ms | 4× | 3 | valid |
Compiled 142 to 30 computations (78.9% saved)
ival-mult: 16.0ms (56.3% of total)ival-sqrt: 3.0ms (10.6% of total)ival-sub: 2.0ms (7% of total)adjust: 2.0ms (7% of total)ival-div: 2.0ms (7% of total)ival-add: 2.0ms (7% of total)ival-neg: 1.0ms (3.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
(-.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)) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) |
| Outputs |
|---|
(* -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)))))))) |
(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))))))) |
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)))))))) |
(* (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))) |
(* -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)))))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -2 (* (sqrt (* 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 (/ (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 (+ (* 1/4 (* (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 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))) |
(- (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) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(/ (+ (* -2 (* 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) |
(* (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) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -2 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 a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -1 (* b (+ 1 (* -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 (+ (* -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)))))))) |
(* 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))) |
(+ 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 (+ (* -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 (- (/ (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 (+ (* 1/2 (* (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 (+ (* 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 (/ (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 (+ (* 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 | |
|---|---|---|---|---|
| 7.0ms | a | @ | -inf | ((+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (- (* b b) (* 4 (* a c))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg b) (sqrt (- (* b b) (* 4 (* a c))))) |
| 3.0ms | b | @ | inf | ((+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (- (* b b) (* 4 (* a c))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg b) (sqrt (- (* b b) (* 4 (* a c))))) |
| 3.0ms | a | @ | inf | ((+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (- (* b b) (* 4 (* a c))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg b) (sqrt (- (* b b) (* 4 (* a c))))) |
| 3.0ms | c | @ | -inf | ((+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (- (* b b) (* 4 (* a c))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg b) (sqrt (- (* b b) (* 4 (* a c))))) |
| 2.0ms | b | @ | 0 | ((+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (- (* b b) (* 4 (* a c))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg b) (sqrt (- (* b b) (* 4 (* a c))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 545 | 2858 |
| 1 | 1738 | 2817 |
| 2 | 6121 | 2789 |
| 0 | 8386 | 2654 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -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)))))))) |
(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))))))) |
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)))))))) |
(* (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))) |
(* -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)))))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -2 (* (sqrt (* 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 (/ (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 (+ (* 1/4 (* (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 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))) |
(- (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) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(/ (+ (* -2 (* 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) |
(* (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) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -2 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 a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -1 (* b (+ 1 (* -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 (+ (* -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)))))))) |
(* 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))) |
(+ 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 (+ (* -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 (- (/ (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 (+ (* 1/2 (* (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 (+ (* 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 (/ (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 (+ (* 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 |
|---|
(* -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 #s(literal -2 binary64) a) (fma.f64 (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) a (/.f64 c b))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (fma.f64 (*.f64 a (*.f64 (pow.f64 c #s(literal 3 binary64)) (/.f64 a (pow.f64 b #s(literal 5 binary64))))) #s(literal -4 binary64) (*.f64 (fma.f64 (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) a (/.f64 c b)) #s(literal -2 binary64))) a) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -4 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) c) c) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
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b |
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(*.f64 (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))))) (neg.f64 c)) |
(* -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 (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)))))) (neg.f64 c)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 51 |
| 0 | 23 | 51 |
| 1 | 77 | 49 |
| 2 | 534 | 48 |
| 3 | 6896 | 48 |
| 0 | 8189 | 44 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (neg.f64 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 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 b b (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64)))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (fma.f64 b b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))))) (pow.f64 b #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 b b (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (fma.f64 b b (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) |
(*.f64 (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1 binary64)) (fma.f64 b b (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))))) #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) |
(*.f64 (fma.f64 b b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))))))) |
(*.f64 (fma.f64 b b (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (*.f64 (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 b b (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) |
(*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) |
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))))) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))))))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 2 binary64))) (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1 binary64))) (fma.f64 b b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3 binary64))) (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1 binary64))) (fma.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (fma.f64 b b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))))) #s(literal -1 binary64))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 9/2 binary64)) (pow.f64 b #s(literal 9 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))))) #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) (*.f64 (/.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) (/.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)))) (fma.f64 b (/.f64 b (-.f64 b (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 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (fma.f64 (/.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) (/.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) (*.f64 (/.f64 (*.f64 b b) (-.f64 b (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 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (fma.f64 b b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64)))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (fma.f64 b b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 9/2 binary64)) (pow.f64 b #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))))))) |
(/.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 b b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) b)) |
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(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))))) (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) #s(literal -1 binary64)) a)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (/.f64 #s(literal 1/2 binary64) a)))) |
(neg.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (/.f64 #s(literal 1/2 binary64) a))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) b)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) b (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (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))) (/.f64 #s(literal 1/2 binary64) a) (*.f64 b (/.f64 #s(literal 1/2 binary64) a))) |
(fma.f64 b (/.f64 #s(literal 1/2 binary64) a) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))) |
(-.f64 (/.f64 (*.f64 b b) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))) (/.f64 (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 #s(literal 2 binary64) a)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) a)) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (/.f64 #s(literal 1/2 binary64) a))) |
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (/.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.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 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) a)) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (/.f64 #s(literal 1/2 binary64) a))) |
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (/.f64 #s(literal 1/2 binary64) a))) |
(+.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 b (/.f64 #s(literal 1/2 binary64) a))) |
(+.f64 (*.f64 b (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) b)) |
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) b) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1 binary64) b) |
(*.f64 #s(literal 1 binary64) b) |
(*.f64 (pow.f64 b #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 b #s(literal -1 binary64)) |
(*.f64 b #s(literal 1 binary64)) |
(pow.f64 b #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 b b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (pow.f64 b #s(literal 3 binary64)))) |
(/.f64 (pow.f64 b #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) #s(literal 0 binary64)))) |
(/.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 b b)) |
(/.f64 (*.f64 b b) b) |
(neg.f64 b) |
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) b #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) b #s(literal 0 binary64)) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) #s(literal 0 binary64)) |
(fma.f64 b #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 b #s(literal 1 binary64) #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) b) b) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b b)) b) |
(-.f64 #s(literal 0 binary64) b) |
(+.f64 #s(literal 0 binary64) b) |
(+.f64 b #s(literal 0 binary64)) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64))) |
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))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (hypot.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) |
(*.f64 (sqrt.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 (pow.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))) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (pow.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal 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 -1 binary64)) #s(literal 1/2 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 (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 (-.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 0 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 0 binary64))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64)) #s(literal 0 binary64)) (+.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 0 binary64))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))))) |
(/.f64 (neg.f64 (sqrt.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 (hypot.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) |
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (-.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 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (hypot.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) (sqrt.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) |
(/.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 (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)))) #s(literal 0 binary64)) |
(fma.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)) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) #s(literal -1 binary64))) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (hypot.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal 0 binary64)) |
(fma.f64 (sqrt.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 (pow.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))) #s(literal -1 binary64))) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (pow.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal 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 -1 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(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 #s(literal 0 binary64) (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))) #s(literal 0 binary64)) |
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) |
Compiled 18 889 to 2 134 computations (88.7% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 517 | 13 | 530 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 518 | 13 | 531 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 17.9% | (/.f64 (fma.f64 b b (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))) b) (*.f64 #s(literal -2 binary64) a))) |
| 11.8% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 51.6% | (/.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) #s(literal -1 binary64))) |
| 51.5% | (/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a)) | |
| 33.0% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) | |
| 27.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) | |
| 51.6% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))) | |
| 51.6% | (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) #s(literal -1 binary64)) a)) | |
| 51.6% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) | |
| ▶ | 37.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))) |
| 32.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)) | |
| ▶ | 37.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
| ▶ | 31.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))) |
Compiled 620 to 438 computations (29.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 b b) | |
| cost-diff | 0 | (*.f64 c a) | |
| cost-diff | 0 | (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) | |
| cost-diff | 64 | (fma.f64 b b (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) | |
| cost-diff | 0 | (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) | |
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b) | |
| cost-diff | 0 | (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))) | |
| cost-diff | 0 | (/.f64 c b) | |
| cost-diff | 0 | (/.f64 (/.f64 c b) b) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))) | |
| cost-diff | 1024 | (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.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 | (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) | |
| cost-diff | 0 | (pow.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) a) | |
| cost-diff | 6848 | (/.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 344 |
| 0 | 69 | 338 |
| 1 | 129 | 338 |
| 2 | 252 | 332 |
| 3 | 472 | 328 |
| 4 | 1120 | 328 |
| 5 | 2886 | 328 |
| 6 | 5075 | 328 |
| 7 | 6989 | 328 |
| 0 | 8035 | 326 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) #s(literal -1 binary64))) |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
(pow.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) #s(literal -1 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)) |
#s(literal -4 binary64) |
(*.f64 c a) |
c |
(*.f64 b b) |
b |
#s(literal -1 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)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))) |
(fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)) |
(/.f64 (/.f64 c b) b) |
(/.f64 c b) |
c |
b |
(/.f64 (neg.f64 b) a) |
(neg.f64 b) |
a |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))) |
(neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)) |
(/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b) |
(fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) |
(/.f64 c b) |
c |
b |
(/.f64 (*.f64 c a) b) |
(*.f64 c a) |
a |
(/.f64 (fma.f64 b b (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))) b) (*.f64 #s(literal -2 binary64) a))) |
(fma.f64 b b (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) |
b |
(fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) |
(*.f64 c a) |
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))) b) (*.f64 #s(literal -2 binary64) a)) |
(-.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)) |
#s(literal -4 binary64) |
(*.f64 #s(literal -2 binary64) a) |
#s(literal -2 binary64) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) #s(literal -1 binary64))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) (/.f64 #s(literal 1/2 binary64) a)) |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
(pow.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) #s(literal -1 binary64)) |
(pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal -1 binary64)) |
(-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #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 c a) #s(literal -4 binary64) (*.f64 b b))) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
#s(literal -4 binary64) |
(*.f64 c a) |
c |
(*.f64 b b) |
b |
#s(literal -1 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)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 (/.f64 c b) b) |
(/.f64 c b) |
c |
b |
(/.f64 (neg.f64 b) a) |
(neg.f64 b) |
a |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 (fma.f64 (/.f64 (/.f64 a b) b) c #s(literal 1 binary64)) b) (neg.f64 c))) |
(neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)) |
(*.f64 (/.f64 (fma.f64 (/.f64 (/.f64 a b) b) c #s(literal 1 binary64)) b) (neg.f64 c)) |
(/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b) |
(/.f64 (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) b) |
(fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) |
(fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) |
(/.f64 c b) |
c |
b |
(/.f64 (*.f64 c a) b) |
(*.f64 (/.f64 c b) a) |
(*.f64 c a) |
a |
(/.f64 (fma.f64 b b (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))) b) (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) b) b (*.f64 (*.f64 c a) #s(literal -4 binary64))) a) #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) |
(fma.f64 b b (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 #s(literal 4 binary64) (*.f64 c a))) |
b |
(fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) |
(fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) |
(*.f64 c a) |
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))) b) (*.f64 #s(literal -2 binary64) a)) |
(*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) |
(-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #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 c a) #s(literal -4 binary64) (*.f64 b b))) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
#s(literal -4 binary64) |
(*.f64 #s(literal -2 binary64) a) |
#s(literal -2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.8046875000000001 | (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) | |
| accuracy | 14.187871277436622 | (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) | |
| accuracy | 21.378667000913 | (/.f64 (fma.f64 b b (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))) b) (*.f64 #s(literal -2 binary64) a))) | |
| accuracy | 26.17667057714975 | (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) | |
| accuracy | 0.046875 | (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) | |
| accuracy | 0.26226536895700536 | (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b) | |
| accuracy | 5.597551189625987 | (/.f64 (*.f64 c a) b) | |
| accuracy | 42.997914264200524 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))) | |
| accuracy | 0.0 | (neg.f64 b) | |
| accuracy | 0.1484375 | (/.f64 (/.f64 c b) b) | |
| accuracy | 5.406471481493644 | (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)) | |
| accuracy | 40.29659517945619 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))) | |
| accuracy | 0.0 | (/.f64 (neg.f64 b) a) | |
| accuracy | 0.0 | (neg.f64 b) | |
| accuracy | 40.288541060277524 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) | |
| accuracy | 0.8046875000000001 | (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) | |
| accuracy | 2.148778290242288 | (/.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) #s(literal -1 binary64))) | |
| accuracy | 14.187871277436622 | (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) | |
| accuracy | 26.17667057714975 | (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
| 95.0ms | 178× | 0 | valid |
| 27.0ms | 22× | 2 | valid |
| 24.0ms | 49× | 1 | valid |
| 6.0ms | 7× | 3 | valid |
Compiled 678 to 88 computations (87% saved)
ival-div: 63.0ms (50.4% of total)ival-sub: 16.0ms (12.8% of total)ival-mult: 16.0ms (12.8% of total)ival-add: 8.0ms (6.4% of total)ival-pow: 8.0ms (6.4% of total)adjust: 7.0ms (5.6% of total)ival-sqrt: 5.0ms (4% of total)ival-neg: 2.0ms (1.6% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) #s(literal -1 binary64))) |
(/.f64 #s(literal 1/2 binary64) a) |
(pow.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) #s(literal -1 binary64)) |
(-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b 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 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))) |
(/.f64 (/.f64 c b) b) |
(/.f64 c b) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))) |
(neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)) |
(/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b) |
(fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) |
(fma.f64 b b (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 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)) |
(/.f64 (*.f64 c a) b) |
(/.f64 (fma.f64 b b (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))) b) (*.f64 #s(literal -2 binary64) a))) |
| 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))))))) |
(/ 1/2 a) |
(* -1/2 (/ b (* a c))) |
(/ (+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) a) |
(/ (+ (* -1/2 (/ b c)) (* a (+ (* -1 (* a (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a) |
(/ (+ (* -1/2 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (/ (pow c 2) (pow b 5)))))) (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(- (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b)) |
(/ c b) |
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3))) |
c |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(* 2 (pow b 2)) |
(+ (* 2 (pow b 2)) (* 4 (* a c))) |
(pow b 2) |
(+ (* 4 (* a c)) (pow b 2)) |
(* a c) |
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)) (pow b 2)) |
(/ (* a c) b) |
(* 1/2 (/ (pow b 3) (* (pow a 2) c))) |
(/ (+ (* -1/2 (* a (- (* -2 b) (* -1 b)))) (* 1/2 (/ (pow b 3) c))) (pow a 2)) |
(/ (+ (* 1/2 (/ (pow b 3) c)) (* a (+ (* -1/2 (- (* -2 b) (* -1 b))) (* 1/2 (* a (+ (* -2 (/ c b)) (/ (* c (- (* -2 b) (* -1 b))) (pow b 2)))))))) (pow a 2)) |
(/ (+ (* 1/2 (/ (pow b 3) c)) (* a (+ (* -1/2 (- (* -2 b) (* -1 b))) (* a (+ (* 1/2 (* a (+ (* -1 (/ (* c (+ (* -2 (/ c b)) (/ (* c (- (* -2 b) (* -1 b))) (pow b 2)))) (pow b 2))) (+ (* -1/4 (/ (* (pow b 3) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* -2 b) (* -1 b))) (pow b 4))))))) (* 1/2 (+ (* -2 (/ c b)) (/ (* c (- (* -2 b) (* -1 b))) (pow b 2))))))))) (pow a 2)) |
(* 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 (/ 1 (* a c))) (/ 1 (sqrt -4))) |
(/ (+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2)))) a) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (* c (pow (sqrt -4) 2))))) a) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))) a) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(+ (* -1 (/ b a)) (/ c b)) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* a (- (* -1 (/ c (* a b))) (/ (pow c 2) (pow b 3)))) |
(/ (* a (pow c 2)) (pow b 3)) |
(* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))) |
(/ (* a (pow c 2)) (pow b 2)) |
(* a (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(* 4 (* a c)) |
(* a (+ (* 2 (/ (pow b 2) a)) (* 4 c))) |
(* a (+ (* 4 c) (/ (pow b 2) 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)))))) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (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 (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (+ (* 1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* 1/2 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3)))))) 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))) |
(* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(* -1 (/ (+ (* 1/4 (/ b c)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* 1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) 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 (- (/ c (* a b)) (* -1 (/ (pow c 2) (pow b 3)))))) |
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2)))))) |
(* -1 (* a (+ (* -4 c) (* -2 (/ (pow b 2) a))))) |
(* -1 (* a (+ (* -4 c) (* -1 (/ (pow b 2) a))))) |
(* -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)))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1/2 (/ (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* -1 (* a b))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* 1/2 (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* -1 (* a b)))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 1/2 (/ (+ (* -1/8 (/ (* a (* (pow b 2) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* -1 (* a b))))) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* 1/2 (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* -1 (* a b))))) a))) a)) |
(+ (* 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))))) |
(+ (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))) (/ b (* a (* c (pow (sqrt -4) 2))))) |
(+ (* b (+ (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* a (* c (pow (sqrt -4) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) |
(+ (* b (+ (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* a (* c (pow (sqrt -4) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) |
(+ (* -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) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ c (pow b 2)) |
(/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 3)) |
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3)) |
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(+ (* -2 (* (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 (sqrt -4)))) (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (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 (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 1/2 (* b (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))) (sqrt -4)))) (* 2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 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) |
(* b (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c))))) |
(* b (- (+ (* -1 (/ (+ (* -1 (* a c)) (* 1/2 (* a c))) (pow b 4))) (* 1/2 (/ 1 (pow b 2)))) (* 1/2 (/ 1 (* a c))))) |
(* b (- (+ (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* a c)) (* 1/2 (* a c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* (pow a 2) (pow c 2)))) (pow b 6))) (* 1/2 (/ 1 (pow b 2)))) (+ (* -1 (/ (* a c) (pow b 4))) (+ (* 1/2 (/ (* a c) (pow b 4))) (* 1/2 (/ 1 (* a c))))))) |
(/ (+ (* -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 (- (/ c (pow b 2)) (/ 1 a))) |
(/ (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) b) |
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b) |
(* (pow b 2) (+ 2 (* 4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* 4 (/ (* a c) (pow b 2))))) |
(* 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))))) |
(* (pow b 3) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/2 (/ 1 (* (pow a 2) c))))) |
(* (pow b 3) (+ (* 1/2 (/ (+ (* -2 c) (* -1 c)) (pow b 4))) (+ (/ 1/2 (* a (pow b 2))) (* 1/2 (/ 1 (* (pow a 2) c)))))) |
(* (pow b 3) (+ (* 1/2 (/ (+ (* -2 c) (* -1 c)) (pow b 4))) (+ (* 1/2 (/ (+ (* -2 (* a (pow c 2))) (+ (* -1 (* a (* c (+ (* -2 c) (* -1 c))))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))))) (pow b 6))) (+ (/ 1/2 (* a (pow b 2))) (* 1/2 (/ 1 (* (pow a 2) c))))))) |
(* -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)))))) |
(/ -1/2 b) |
(* -1 (/ (+ 1/2 (* 1/2 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (- (+ 1/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1/2 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (- (+ 1/2 (* -1 (/ (+ (* -2 (* (pow a 3) (pow c 3))) (* -1/2 (* (pow a 3) (pow c 3)))) (pow b 6)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1/2 (/ (* a c) (pow b 2))))) b)) |
(* -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 (/ (- (/ (* a (pow c 2)) (pow b 2)) (* -1 c)) b)) |
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) 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 (/ b a)) |
(* -1 (* b (- (* -1/2 (/ (- (* 2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a))))) |
(* -1 (* b (- (+ (* -1/2 (/ (- (* 2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ (+ (* -1 (* a (* c (- (* 2 c) (* -1 c))))) (* -1 (* a (pow c 2)))) (pow b 4)))) (* 1/2 (/ 1 a))))) |
(* -1 (* b (- (+ (* -1/2 (/ (- (* 2 c) (* -1 c)) (pow b 2))) (+ (* 1/2 (/ (+ (* -2 (* (pow a 2) (pow c 3))) (+ (* -1 (* (pow a 2) (* (pow c 2) (- (* 2 c) (* -1 c))))) (* a (* c (+ (* -1 (* a (* c (- (* 2 c) (* -1 c))))) (* -1 (* a (pow c 2)))))))) (pow b 6))) (* 1/2 (/ (+ (* -1 (* a (* c (- (* 2 c) (* -1 c))))) (* -1 (* a (pow c 2)))) (pow b 4))))) (* 1/2 (/ 1 a))))) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(/ (+ (* -1/2 (/ b a)) (* 1/2 (/ c b))) c) |
(/ (+ (* -1/2 (/ b a)) (* c (+ (* -1 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c) |
(/ (+ (* -1/2 (/ b a)) (* c (+ (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c) |
(* 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)))))))) |
(* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) |
(* c (+ 1 (/ (* a c) (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)))))))) |
(/ (+ (* -1/2 (* c (- (* -2 (/ b a)) (* -1 (/ b a))))) (* 1/2 (/ (pow b 3) (pow a 2)))) c) |
(/ (+ (* 1/2 (/ (pow b 3) (pow a 2))) (* c (+ (* -1/2 (* c (- (* 2 (/ 1 b)) (/ (* a (- (* -2 (/ b a)) (* -1 (/ b a)))) (pow b 2))))) (* -1/2 (- (* -2 (/ b a)) (* -1 (/ b a))))))) c) |
(/ (+ (* 1/2 (/ (pow b 3) (pow a 2))) (* c (+ (* -1/2 (- (* -2 (/ b a)) (* -1 (/ b a)))) (* c (+ (* -1/2 (- (* 2 (/ 1 b)) (/ (* a (- (* -2 (/ b a)) (* -1 (/ b a)))) (pow b 2)))) (* 1/2 (* c (+ (* -1/4 (/ (* (pow b 3) (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 3))) (+ (* 2 (/ (* (pow a 2) (- (* -2 (/ b a)) (* -1 (/ b a)))) (pow b 4))) (/ (* a (- (* 2 (/ 1 b)) (/ (* a (- (* -2 (/ b a)) (* -1 (/ b a)))) (pow b 2)))) (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))))))) |
(/ (+ (* (sqrt (/ c a)) (/ 1 (sqrt -4))) (/ b (* a (pow (sqrt -4) 2)))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ b (* a (pow (sqrt -4) 2))))) c) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* a (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) c) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))) |
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))) |
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))) |
(* c (+ (* 2 (/ (pow b 2) c)) (* 4 a))) |
(* c (+ (* 4 a) (/ (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 (+ (* -4 a) (/ (pow b 2) c))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1/2 (/ (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (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 (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 1/2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (+ (* 1/2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* 1/2 (/ (+ (* 1/2 (/ (* (pow b 2) (* c (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))))) (* a (pow (sqrt -4) 2)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3)))))) |
(* -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 (/ (+ (* 1/4 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* b c) a))) c)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* 1/4 (/ (* b c) a))) c)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c)) |
(* -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 (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (+ (* -4 a) (* -2 (/ (pow b 2) c))))) |
(* -1 (* c (+ (* -4 a) (* -1 (/ (pow b 2) c))))) |
(* -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)))) |
(+ (* 1/2 (/ (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (* -1 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/2 (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (* -1 (/ (* b c) a)))) (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (* (pow b 2) (* c (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (* -1 (/ (* b c) a))))) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) c)) (* 1/2 (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))))) c)) (* -1/2 (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (* -1 (/ (* b c) a))))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 48.0ms | c | @ | 0 | ((/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1) (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (neg b) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (/ c b) b) (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (/ (+ (* (/ c b) (/ (* c a) b)) c) b)) (/ (+ (* (/ c b) (/ (* c a) b)) c) b) (+ (* (/ c b) (/ (* c a) b)) c) (+ (* b b) (+ (* (* c a) 4) (* b b))) (+ (* (* c a) 4) (* b b)) (* c a) (* b b) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (/ (* c a) b) (/ (+ (* b b) (+ (* (* c a) 4) (* b b))) (* (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (* -2 a)))) |
| 10.0ms | a | @ | inf | ((/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1) (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (neg b) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (/ c b) b) (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (/ (+ (* (/ c b) (/ (* c a) b)) c) b)) (/ (+ (* (/ c b) (/ (* c a) b)) c) b) (+ (* (/ c b) (/ (* c a) b)) c) (+ (* b b) (+ (* (* c a) 4) (* b b))) (+ (* (* c a) 4) (* b b)) (* c a) (* b b) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (/ (* c a) b) (/ (+ (* b b) (+ (* (* c a) 4) (* b b))) (* (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (* -2 a)))) |
| 7.0ms | a | @ | 0 | ((/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1) (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (neg b) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (/ c b) b) (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (/ (+ (* (/ c b) (/ (* c a) b)) c) b)) (/ (+ (* (/ c b) (/ (* c a) b)) c) b) (+ (* (/ c b) (/ (* c a) b)) c) (+ (* b b) (+ (* (* c a) 4) (* b b))) (+ (* (* c a) 4) (* b b)) (* c a) (* b b) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (/ (* c a) b) (/ (+ (* b b) (+ (* (* c a) 4) (* b b))) (* (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (* -2 a)))) |
| 7.0ms | c | @ | inf | ((/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1) (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (neg b) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (/ c b) b) (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (/ (+ (* (/ c b) (/ (* c a) b)) c) b)) (/ (+ (* (/ c b) (/ (* c a) b)) c) b) (+ (* (/ c b) (/ (* c a) b)) c) (+ (* b b) (+ (* (* c a) 4) (* b b))) (+ (* (* c a) 4) (* b b)) (* c a) (* b b) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (/ (* c a) b) (/ (+ (* b b) (+ (* (* c a) 4) (* b b))) (* (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (* -2 a)))) |
| 7.0ms | c | @ | -inf | ((/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1) (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (neg b) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (/ c b) b) (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (/ (+ (* (/ c b) (/ (* c a) b)) c) b)) (/ (+ (* (/ c b) (/ (* c a) b)) c) b) (+ (* (/ c b) (/ (* c a) b)) c) (+ (* b b) (+ (* (* c a) 4) (* b b))) (+ (* (* c a) 4) (* b b)) (* c a) (* b b) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (/ (* c a) b) (/ (+ (* b b) (+ (* (* c a) 4) (* b b))) (* (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (* -2 a)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1250 | 6796 |
| 1 | 4191 | 6515 |
| 0 | 8206 | 6265 |
| 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))))))) |
(/ 1/2 a) |
(* -1/2 (/ b (* a c))) |
(/ (+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) a) |
(/ (+ (* -1/2 (/ b c)) (* a (+ (* -1 (* a (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a) |
(/ (+ (* -1/2 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (/ (pow c 2) (pow b 5)))))) (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(- (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b)) |
(/ c b) |
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3))) |
c |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(* 2 (pow b 2)) |
(+ (* 2 (pow b 2)) (* 4 (* a c))) |
(pow b 2) |
(+ (* 4 (* a c)) (pow b 2)) |
(* a c) |
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)) (pow b 2)) |
(/ (* a c) b) |
(* 1/2 (/ (pow b 3) (* (pow a 2) c))) |
(/ (+ (* -1/2 (* a (- (* -2 b) (* -1 b)))) (* 1/2 (/ (pow b 3) c))) (pow a 2)) |
(/ (+ (* 1/2 (/ (pow b 3) c)) (* a (+ (* -1/2 (- (* -2 b) (* -1 b))) (* 1/2 (* a (+ (* -2 (/ c b)) (/ (* c (- (* -2 b) (* -1 b))) (pow b 2)))))))) (pow a 2)) |
(/ (+ (* 1/2 (/ (pow b 3) c)) (* a (+ (* -1/2 (- (* -2 b) (* -1 b))) (* a (+ (* 1/2 (* a (+ (* -1 (/ (* c (+ (* -2 (/ c b)) (/ (* c (- (* -2 b) (* -1 b))) (pow b 2)))) (pow b 2))) (+ (* -1/4 (/ (* (pow b 3) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* -2 b) (* -1 b))) (pow b 4))))))) (* 1/2 (+ (* -2 (/ c b)) (/ (* c (- (* -2 b) (* -1 b))) (pow b 2))))))))) (pow a 2)) |
(* 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 (/ 1 (* a c))) (/ 1 (sqrt -4))) |
(/ (+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2)))) a) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (* c (pow (sqrt -4) 2))))) a) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))) a) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(+ (* -1 (/ b a)) (/ c b)) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* a (- (* -1 (/ c (* a b))) (/ (pow c 2) (pow b 3)))) |
(/ (* a (pow c 2)) (pow b 3)) |
(* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))) |
(/ (* a (pow c 2)) (pow b 2)) |
(* a (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(* 4 (* a c)) |
(* a (+ (* 2 (/ (pow b 2) a)) (* 4 c))) |
(* a (+ (* 4 c) (/ (pow b 2) 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)))))) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (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 (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (+ (* 1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* 1/2 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3)))))) 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))) |
(* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(* -1 (/ (+ (* 1/4 (/ b c)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* 1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) 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 (- (/ c (* a b)) (* -1 (/ (pow c 2) (pow b 3)))))) |
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2)))))) |
(* -1 (* a (+ (* -4 c) (* -2 (/ (pow b 2) a))))) |
(* -1 (* a (+ (* -4 c) (* -1 (/ (pow b 2) a))))) |
(* -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)))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1/2 (/ (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* -1 (* a b))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* 1/2 (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* -1 (* a b)))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 1/2 (/ (+ (* -1/8 (/ (* a (* (pow b 2) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* -1 (* a b))))) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* 1/2 (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* -1 (* a b))))) a))) a)) |
(+ (* 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))))) |
(+ (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))) (/ b (* a (* c (pow (sqrt -4) 2))))) |
(+ (* b (+ (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* a (* c (pow (sqrt -4) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) |
(+ (* b (+ (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* a (* c (pow (sqrt -4) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) |
(+ (* -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) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ c (pow b 2)) |
(/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 3)) |
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3)) |
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(+ (* -2 (* (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 (sqrt -4)))) (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (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 (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 1/2 (* b (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))) (sqrt -4)))) (* 2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 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) |
(* b (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c))))) |
(* b (- (+ (* -1 (/ (+ (* -1 (* a c)) (* 1/2 (* a c))) (pow b 4))) (* 1/2 (/ 1 (pow b 2)))) (* 1/2 (/ 1 (* a c))))) |
(* b (- (+ (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* a c)) (* 1/2 (* a c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* (pow a 2) (pow c 2)))) (pow b 6))) (* 1/2 (/ 1 (pow b 2)))) (+ (* -1 (/ (* a c) (pow b 4))) (+ (* 1/2 (/ (* a c) (pow b 4))) (* 1/2 (/ 1 (* a c))))))) |
(/ (+ (* -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 (- (/ c (pow b 2)) (/ 1 a))) |
(/ (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) b) |
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b) |
(* (pow b 2) (+ 2 (* 4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* 4 (/ (* a c) (pow b 2))))) |
(* 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))))) |
(* (pow b 3) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/2 (/ 1 (* (pow a 2) c))))) |
(* (pow b 3) (+ (* 1/2 (/ (+ (* -2 c) (* -1 c)) (pow b 4))) (+ (/ 1/2 (* a (pow b 2))) (* 1/2 (/ 1 (* (pow a 2) c)))))) |
(* (pow b 3) (+ (* 1/2 (/ (+ (* -2 c) (* -1 c)) (pow b 4))) (+ (* 1/2 (/ (+ (* -2 (* a (pow c 2))) (+ (* -1 (* a (* c (+ (* -2 c) (* -1 c))))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))))) (pow b 6))) (+ (/ 1/2 (* a (pow b 2))) (* 1/2 (/ 1 (* (pow a 2) c))))))) |
(* -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)))))) |
(/ -1/2 b) |
(* -1 (/ (+ 1/2 (* 1/2 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (- (+ 1/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1/2 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (- (+ 1/2 (* -1 (/ (+ (* -2 (* (pow a 3) (pow c 3))) (* -1/2 (* (pow a 3) (pow c 3)))) (pow b 6)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1/2 (/ (* a c) (pow b 2))))) b)) |
(* -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 (/ (- (/ (* a (pow c 2)) (pow b 2)) (* -1 c)) b)) |
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) 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 (/ b a)) |
(* -1 (* b (- (* -1/2 (/ (- (* 2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a))))) |
(* -1 (* b (- (+ (* -1/2 (/ (- (* 2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ (+ (* -1 (* a (* c (- (* 2 c) (* -1 c))))) (* -1 (* a (pow c 2)))) (pow b 4)))) (* 1/2 (/ 1 a))))) |
(* -1 (* b (- (+ (* -1/2 (/ (- (* 2 c) (* -1 c)) (pow b 2))) (+ (* 1/2 (/ (+ (* -2 (* (pow a 2) (pow c 3))) (+ (* -1 (* (pow a 2) (* (pow c 2) (- (* 2 c) (* -1 c))))) (* a (* c (+ (* -1 (* a (* c (- (* 2 c) (* -1 c))))) (* -1 (* a (pow c 2)))))))) (pow b 6))) (* 1/2 (/ (+ (* -1 (* a (* c (- (* 2 c) (* -1 c))))) (* -1 (* a (pow c 2)))) (pow b 4))))) (* 1/2 (/ 1 a))))) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(/ (+ (* -1/2 (/ b a)) (* 1/2 (/ c b))) c) |
(/ (+ (* -1/2 (/ b a)) (* c (+ (* -1 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c) |
(/ (+ (* -1/2 (/ b a)) (* c (+ (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c) |
(* 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)))))))) |
(* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) |
(* c (+ 1 (/ (* a c) (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)))))))) |
(/ (+ (* -1/2 (* c (- (* -2 (/ b a)) (* -1 (/ b a))))) (* 1/2 (/ (pow b 3) (pow a 2)))) c) |
(/ (+ (* 1/2 (/ (pow b 3) (pow a 2))) (* c (+ (* -1/2 (* c (- (* 2 (/ 1 b)) (/ (* a (- (* -2 (/ b a)) (* -1 (/ b a)))) (pow b 2))))) (* -1/2 (- (* -2 (/ b a)) (* -1 (/ b a))))))) c) |
(/ (+ (* 1/2 (/ (pow b 3) (pow a 2))) (* c (+ (* -1/2 (- (* -2 (/ b a)) (* -1 (/ b a)))) (* c (+ (* -1/2 (- (* 2 (/ 1 b)) (/ (* a (- (* -2 (/ b a)) (* -1 (/ b a)))) (pow b 2)))) (* 1/2 (* c (+ (* -1/4 (/ (* (pow b 3) (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 3))) (+ (* 2 (/ (* (pow a 2) (- (* -2 (/ b a)) (* -1 (/ b a)))) (pow b 4))) (/ (* a (- (* 2 (/ 1 b)) (/ (* a (- (* -2 (/ b a)) (* -1 (/ b a)))) (pow b 2)))) (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))))))) |
(/ (+ (* (sqrt (/ c a)) (/ 1 (sqrt -4))) (/ b (* a (pow (sqrt -4) 2)))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ b (* a (pow (sqrt -4) 2))))) c) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* a (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) c) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))) |
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))) |
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))) |
(* c (+ (* 2 (/ (pow b 2) c)) (* 4 a))) |
(* c (+ (* 4 a) (/ (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 (+ (* -4 a) (/ (pow b 2) c))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1/2 (/ (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (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 (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 1/2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (+ (* 1/2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* 1/2 (/ (+ (* 1/2 (/ (* (pow b 2) (* c (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))))) (* a (pow (sqrt -4) 2)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3)))))) |
(* -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 (/ (+ (* 1/4 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* b c) a))) c)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* 1/4 (/ (* b c) a))) c)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c)) |
(* -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 (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (+ (* -4 a) (* -2 (/ (pow b 2) c))))) |
(* -1 (* c (+ (* -4 a) (* -1 (/ (pow b 2) c))))) |
(* -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)))) |
(+ (* 1/2 (/ (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (* -1 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/2 (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (* -1 (/ (* b c) a)))) (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (* (pow b 2) (* c (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (* -1 (/ (* b c) a))))) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) c)) (* 1/2 (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))))) c)) (* -1/2 (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (* -1 (/ (* b c) a))))) c)) (* (sqrt (/ c a)) (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)) |
(/ 1/2 a) |
(/.f64 #s(literal 1/2 binary64) a) |
(* -1/2 (/ b (* a c))) |
(*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64)) |
(/ (+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) a) |
(/.f64 (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))) a) |
(/ (+ (* -1/2 (/ b c)) (* a (+ (* -1 (* a (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a) |
(/.f64 (fma.f64 (fma.f64 (neg.f64 a) (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -1/2 binary64))) a) |
(/ (+ (* -1/2 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (/ (pow c 2) (pow b 5)))))) (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (-.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)) b) (/.f64 c b))) (*.f64 (/.f64 (neg.f64 c) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -1/2 binary64))) a) |
(* -2 (/ (* a c) b)) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a) |
(* -1 (/ b a)) |
(/.f64 (neg.f64 b) a) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a) |
(- (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b)) |
(neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) |
(/ c b) |
(/.f64 c b) |
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3))) |
(fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)) |
c |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) |
(* 2 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 2 binary64)) |
(+ (* 2 (pow b 2)) (* 4 (* a c))) |
(fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 (*.f64 b b) #s(literal 2 binary64))) |
(pow b 2) |
(*.f64 b b) |
(+ (* 4 (* a c)) (pow b 2)) |
(fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)) |
(* a c) |
(*.f64 c 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) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(* 1/2 (/ (pow b 3) (* (pow a 2) c))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 (pow.f64 b #s(literal 3 binary64)) c)) |
(/ (+ (* -1/2 (* a (- (* -2 b) (* -1 b)))) (* 1/2 (/ (pow b 3) c))) (pow a 2)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) c) #s(literal 1/2 binary64) (*.f64 (*.f64 (neg.f64 b) a) #s(literal -1/2 binary64))) (*.f64 a a)) |
(/ (+ (* 1/2 (/ (pow b 3) c)) (* a (+ (* -1/2 (- (* -2 b) (* -1 b))) (* 1/2 (* a (+ (* -2 (/ c b)) (/ (* c (- (* -2 b) (* -1 b))) (pow b 2)))))))) (pow a 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (fma.f64 (/.f64 (neg.f64 b) b) (/.f64 c b) (*.f64 #s(literal -2 binary64) (/.f64 c b))) (*.f64 (neg.f64 b) #s(literal -1/2 binary64))) a (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) c) #s(literal 1/2 binary64))) (*.f64 a a)) |
(/ (+ (* 1/2 (/ (pow b 3) c)) (* a (+ (* -1/2 (- (* -2 b) (* -1 b))) (* a (+ (* 1/2 (* a (+ (* -1 (/ (* c (+ (* -2 (/ c b)) (/ (* c (- (* -2 b) (* -1 b))) (pow b 2)))) (pow b 2))) (+ (* -1/4 (/ (* (pow b 3) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* -2 b) (* -1 b))) (pow b 4))))))) (* 1/2 (+ (* -2 (/ c b)) (/ (* c (- (* -2 b) (* -1 b))) (pow b 2))))))))) (pow a 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 c c)) #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 (neg.f64 b) (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64))) (*.f64 c (/.f64 (fma.f64 (/.f64 (neg.f64 b) b) (/.f64 c b) (*.f64 #s(literal -2 binary64) (/.f64 c b))) (*.f64 b b)))) a (fma.f64 (/.f64 (neg.f64 b) b) (/.f64 c b) (*.f64 #s(literal -2 binary64) (/.f64 c b))))) a (*.f64 (neg.f64 b) #s(literal -1/2 binary64))) a (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) c) #s(literal 1/2 binary64))) (*.f64 a a)) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64)) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))))))) |
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64))) |
(/ (+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2)))) a) |
(/.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 b c))) a) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (* c (pow (sqrt -4) 2))))) a) |
(/.f64 (-.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 b #s(literal -4 binary64)) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))))) a) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 #s(literal 1/4 binary64) (/.f64 b c))) a) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))) a) |
(/.f64 (-.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (fma.f64 (*.f64 b (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 b #s(literal -4 binary64)) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 a c)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 c c)) (/.f64 (*.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 4 binary64))))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (*.f64 (/.f64 b #s(literal -4 binary64)) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (*.f64 (/.f64 b #s(literal -4 binary64)) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 b c))))) a) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a)) a) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a))) a) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
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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 (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 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))))) |
(* -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 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (neg.f64 (/.f64 (*.f64 b b) c)))) |
(+ (* 1/2 (/ (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (* -1 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.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 (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (* -1 (/ (* b c) a)))) (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (fma.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.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 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 b (/.f64 c a)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) #s(literal -1/4 binary64))) c))) c)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (* (pow b 2) (* c (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (* -1 (/ (* b c) a))))) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) c)) (* 1/2 (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))))) c)) (* -1/2 (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (* -1 (/ (* b c) a))))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 (-.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 b (/.f64 c a))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (/.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 -1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 b (/.f64 c a)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) #s(literal -1/4 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) c) (fma.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 b (/.f64 c a)))) a) #s(literal -1/8 binary64))) c) #s(literal -1/2 binary64) (*.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 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 b (/.f64 c a)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))) c)) c)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 260 |
| 0 | 69 | 254 |
| 1 | 297 | 252 |
| 2 | 2363 | 244 |
| 0 | 8966 | 244 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) #s(literal -1 binary64))) |
(/.f64 #s(literal 1/2 binary64) a) |
(pow.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) #s(literal -1 binary64)) |
(-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b 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 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))) |
(/.f64 (/.f64 c b) b) |
(/.f64 c b) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))) |
(neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)) |
(/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b) |
(fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) |
(fma.f64 b b (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 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)) |
(/.f64 (*.f64 c a) b) |
(/.f64 (fma.f64 b b (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))) b) (*.f64 #s(literal -2 binary64) a))) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 a) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) (*.f64 b b))) #s(literal -1 binary64)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 b b (+.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 a #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal -1/2 binary64)) (pow.f64 a #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) a)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal -1 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal -1/2 binary64))) (/.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 1/2 binary64)) (pow.f64 a #s(literal -1 binary64))) |
(*.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (/.f64 #s(literal -1/2 binary64) a)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) (/.f64 #s(literal 1/2 binary64) a))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) (/.f64 #s(literal 1/2 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal -1 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal -1 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) |
(pow.f64 (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal -1 binary64)) a) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)))) (neg.f64 a)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a))) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))) (neg.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) a))) (neg.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) a))) (neg.f64 (fma.f64 b b (+.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) (neg.f64 (neg.f64 a))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) (neg.f64 a)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 a))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)))) (neg.f64 (neg.f64 (*.f64 #s(literal -2 binary64) a)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) (*.f64 b b)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))) |
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(*.f64 c (/.f64 a b)) |
(*.f64 a (/.f64 c b)) |
(pow.f64 (/.f64 (/.f64 b (*.f64 c a)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 b (*.f64 c a)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 c) a) #s(literal -1 binary64))) (neg.f64 b)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 c) a))) (neg.f64 b)) |
(/.f64 (neg.f64 (*.f64 (*.f64 c a) #s(literal 1 binary64))) (neg.f64 b)) |
(/.f64 (/.f64 (*.f64 (neg.f64 c) a) #s(literal -1 binary64)) b) |
(/.f64 (neg.f64 (*.f64 (neg.f64 c) a)) b) |
(/.f64 (*.f64 (*.f64 c a) #s(literal 1 binary64)) b) |
(/.f64 (*.f64 (neg.f64 c) a) (neg.f64 b)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 b (*.f64 c a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (*.f64 c a)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 c a))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 b (*.f64 c a)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (*.f64 c a)))) |
(/.f64 (*.f64 c a) b) |
(neg.f64 (/.f64 (*.f64 (neg.f64 c) a) b)) |
(exp.f64 (*.f64 (log.f64 (/.f64 b (*.f64 c a))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) (*.f64 b b)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (+.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) #s(literal -1 binary64)) (pow.f64 (/.f64 a (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (/.f64 #s(literal -1/2 binary64) a)) |
(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (pow.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)))) |
(*.f64 (neg.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)))) (pow.f64 (*.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) a) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)))) |
(*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))) (/.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) |
(*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) #s(literal -2 binary64))) (neg.f64 a)) |
(/.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) a)) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 #s(literal -2 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)))) (neg.f64 a)) |
(/.f64 (neg.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a))) (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)))) (neg.f64 (-.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) (*.f64 b b)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)))) (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 1 binary64))) (*.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) a)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)))) (neg.f64 (neg.f64 (*.f64 #s(literal -2 binary64) a)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)))))) (neg.f64 (neg.f64 (*.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) a)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))))) |
(/.f64 (/.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) a) #s(literal -2 binary64)) |
(/.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 #s(literal -2 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) a) |
(/.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) (-.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) (*.f64 b b))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) |
(/.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) (neg.f64 (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))))) (neg.f64 (*.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) a))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 2 binary64)))) (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (-.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) (*.f64 b b))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)))) |
(/.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (-.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) (*.f64 b b)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) a)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))))) |
(/.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)))))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)))) |
(neg.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) a))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))))) #s(literal -1 binary64))) |
Compiled 65 939 to 6 368 computations (90.3% saved)
24 alts after pruning (23 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 648 | 19 | 1 667 |
| Fresh | 4 | 4 | 8 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 656 | 24 | 1 680 |
| Status | Accuracy | Program |
|---|---|---|
| 48.8% | (/.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)))) | |
| ▶ | 51.6% | (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) |
| 27.6% | (/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) c))) | |
| 36.9% | (/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1) (/.f64 #s(literal -1/2 binary64) b))) | |
| ▶ | 26.7% | (/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) (*.f64 c a))) b))) |
| 51.5% | (/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a)) | |
| 33.0% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) | |
| 26.1% | (/.f64 (*.f64 (-.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) | |
| 27.6% | (/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) a)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) | |
| 24.7% | (/.f64 #s(approx (+ (* b b) (+ (* (* c a) 4) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))) | |
| 27.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) | |
| 51.6% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))) | |
| ▶ | 51.6% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) |
| ▶ | 32.7% | #s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (/.f64 (neg.f64 c) b)) |
| 36.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) c)) b (/.f64 (neg.f64 b) a))) | |
| ▶ | 2.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a))) |
| 2.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c #s(literal 1 binary64)) (/.f64 a b) (*.f64 b #s(literal 1 binary64))) (*.f64 b (/.f64 a b)))) | |
| 25.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a))) | |
| ✓ | 37.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
| 36.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b))) | |
| 37.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) | |
| 2.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+.f64 (/.f64 c b) (/.f64 b a))) | |
| 30.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) b))) | |
| 19.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 a) b)) #s(literal -1 binary64)))) |
Compiled 1 216 to 867 computations (28.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) a) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) (*.f64 c a))) b))) | |
| cost-diff | 64 | (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) (*.f64 c a))) b) | |
| cost-diff | 384 | (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) (*.f64 c a))) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) a) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) b) | |
| cost-diff | 0 | (neg.f64 c) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a))) | |
| cost-diff | 320 | (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a)) | |
| cost-diff | 0 | (neg.f64 c) | |
| cost-diff | 0 | (/.f64 (neg.f64 c) b) | |
| cost-diff | 0 | #s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (/.f64 (neg.f64 c) b)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) a) | |
| cost-diff | 6848 | (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 316 |
| 0 | 70 | 313 |
| 1 | 133 | 305 |
| 2 | 241 | 303 |
| 3 | 469 | 303 |
| 4 | 1007 | 297 |
| 5 | 2426 | 297 |
| 6 | 4179 | 297 |
| 7 | 5127 | 297 |
| 8 | 5831 | 297 |
| 9 | 6190 | 297 |
| 10 | 6485 | 297 |
| 11 | 6534 | 297 |
| 12 | 7016 | 297 |
| 13 | 7632 | 297 |
| 14 | 7889 | 297 |
| 0 | 8139 | 294 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) |
#s(literal 1 binary64) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) |
(sqrt.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 c a) |
c |
#s(literal -4 binary64) |
(*.f64 b b) |
b |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (/.f64 (neg.f64 c) b)) |
(/.f64 (neg.f64 c) b) |
(neg.f64 c) |
c |
b |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a))) |
(fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a)) |
(neg.f64 c) |
c |
(/.f64 #s(literal -1 binary64) b) |
#s(literal -1 binary64) |
b |
(/.f64 b a) |
a |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) |
(sqrt.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 c a) |
c |
#s(literal -4 binary64) |
(*.f64 b b) |
b |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) (*.f64 c a))) b))) |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
#s(approx (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) (*.f64 c a))) b)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) (*.f64 c a))) b) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) (*.f64 c a))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b b)) |
(*.f64 b b) |
b |
(/.f64 #s(literal 1/2 binary64) (*.f64 c a)) |
(*.f64 c a) |
c |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) |
(pow.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))) b) #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) |
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))) b) |
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) |
(sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
(fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(*.f64 c a) |
c |
#s(literal -4 binary64) |
(*.f64 b b) |
b |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (/.f64 (neg.f64 c) b)) |
(/.f64 (neg.f64 c) b) |
(neg.f64 c) |
c |
b |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a))) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (+.f64 (/.f64 c b) (/.f64 b a))) |
(fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (/.f64 b a)) |
(neg.f64 c) |
c |
(/.f64 #s(literal -1 binary64) b) |
#s(literal -1 binary64) |
b |
(/.f64 b a) |
a |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) |
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))) b) |
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) |
(sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
(fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(*.f64 c a) |
c |
#s(literal -4 binary64) |
(*.f64 b b) |
b |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) (*.f64 c a))) b))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1) (fma.f64 (/.f64 (/.f64 b c) a) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) b)))) |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
#s(approx (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) (*.f64 c a))) b)) |
#s(approx (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1) (fma.f64 (/.f64 (/.f64 b c) a) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) b))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) (*.f64 c a))) b) |
(fma.f64 (/.f64 (/.f64 b c) a) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) b)) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) (*.f64 c a))) |
(-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 c a)) (/.f64 #s(literal -1/2 binary64) (*.f64 b b))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b b)) |
(*.f64 b b) |
b |
(/.f64 #s(literal 1/2 binary64) (*.f64 c a)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) c) |
(*.f64 c a) |
c |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.0078042433208232 | (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) (*.f64 c a))) | |
| accuracy | 2.148778290242288 | (/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) (*.f64 c a))) b))) | |
| accuracy | 13.904117670059236 | (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) (*.f64 c a))) b) | |
| accuracy | 42.874857955077324 | #s(approx (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) (*.f64 c a))) b)) | |
| accuracy | 0.8046875000000001 | (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) | |
| accuracy | 2.13934455001073 | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) | |
| accuracy | 14.187871277436622 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) | |
| accuracy | 26.17667057714975 | (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) | |
| accuracy | 0.0 | (/.f64 #s(literal -1 binary64) b) | |
| accuracy | 0.0 | (neg.f64 c) | |
| accuracy | 0.109375 | (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a)) | |
| accuracy | 62.47184940883684 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a))) | |
| accuracy | 0.0 | (/.f64 (neg.f64 c) b) | |
| accuracy | 0.0 | (neg.f64 c) | |
| accuracy | 43.048088460131844 | #s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (/.f64 (neg.f64 c) b)) | |
| accuracy | 0.8046875000000001 | (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) | |
| accuracy | 2.148778290242288 | (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) | |
| accuracy | 14.187871277436622 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) | |
| accuracy | 26.17667057714975 | (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) |
| 89.0ms | 49× | 1 | valid |
| 59.0ms | 178× | 0 | valid |
| 16.0ms | 22× | 2 | valid |
| 7.0ms | 7× | 3 | valid |
Compiled 601 to 96 computations (84% saved)
ival-div: 39.0ms (41.6% of total)ival-mult: 19.0ms (20.3% of total)ival-sqrt: 8.0ms (8.5% of total)adjust: 7.0ms (7.5% of total)ival-sub: 6.0ms (6.4% of total)ival-add: 6.0ms (6.4% of total)ival-pow: 6.0ms (6.4% of total)ival-neg: 2.0ms (2.1% of total)exact: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) |
(/.f64 #s(literal 1/2 binary64) a) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (/.f64 (neg.f64 c) b)) |
(/.f64 (neg.f64 c) b) |
(neg.f64 c) |
(fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a))) |
(/.f64 #s(literal -1 binary64) b) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) (*.f64 c a))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) (*.f64 c a))) b) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) (*.f64 c a))) b))) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
#s(approx (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) (*.f64 c a))) 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))))))) |
(/ 1/2 a) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
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)))))))) |
(/ b a) |
(/ (+ b (/ (* a c) b)) a) |
(/ -1/2 (* a c)) |
(/ (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))) a) |
(* -1/2 (/ b (* a c))) |
(/ (+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) a) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(/ (+ (* -1/2 (/ b c)) (* a (+ (* -1 (* a (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a) |
(/ (+ (* -1/2 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (/ (pow c 2) (pow b 5)))))) (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 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)))))) |
(* (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)))))) |
(/ c b) |
(+ (/ b a) (/ c b)) |
(/ 1/2 (pow b 2)) |
(- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c)))) |
(/ 1/2 b) |
(+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b))) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))) |
(/ (+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2)))) a) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (* c (pow (sqrt -4) 2))))) a) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))) a) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(* -1 (/ (+ (* 1/4 (/ b c)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* 1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a)) |
(+ (* 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))) |
(+ (* 1/2 (* (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))))))))) |
(/ (+ c (/ (pow b 2) a)) b) |
(/ -1 b) |
(/ (+ 1/2 (* -1/2 (/ (pow b 2) (* a c)))) (pow b 2)) |
(/ (+ 1/2 (* -1/2 (/ (pow b 2) (* a c)))) b) |
(+ (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))) (/ b (* a (* c (pow (sqrt -4) 2))))) |
(+ (* b (+ (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* a (* c (pow (sqrt -4) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) |
(+ (* b (+ (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* a (* c (pow (sqrt -4) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* b (+ (/ 1 a) (/ c (pow b 2)))) |
(* b (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* b (- (+ (* -1 (/ (+ (* -1 (* a c)) (* 1/2 (* a c))) (pow b 4))) (* 1/2 (/ 1 (pow b 2)))) (* 1/2 (/ 1 (* a c))))) |
(* b (- (+ (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* a c)) (* 1/2 (* a c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* (pow a 2) (pow c 2)))) (pow b 6))) (* 1/2 (/ 1 (pow b 2)))) (+ (* -1 (/ (* a c) (pow b 4))) (+ (* 1/2 (/ (* a c) (pow b 4))) (* 1/2 (/ 1 (* a c))))))) |
(* -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 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (- (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (- (* 1/2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2)))))) |
(/ -1/2 b) |
(* -1 (/ (+ 1/2 (* 1/2 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (- (+ 1/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1/2 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (- (+ 1/2 (* -1 (/ (+ (* -2 (* (pow a 3) (pow c 3))) (* -1/2 (* (pow a 3) (pow c 3)))) (pow b 6)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1/2 (/ (* a c) (pow b 2))))) b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* -1 c) |
(/ (- (* 1/2 (/ c (pow b 2))) (* 1/2 (/ 1 a))) c) |
(/ (+ (* -1/2 (/ b a)) (* 1/2 (/ c b))) c) |
(/ (+ (* -1/2 (/ b a)) (* c (+ (* -1 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c) |
(/ (+ (* -1/2 (/ b a)) (* c (+ (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* c (+ (/ 1 b) (/ b (* a c)))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(/ (+ (* (sqrt (/ c a)) (/ 1 (sqrt -4))) (/ b (* a (pow (sqrt -4) 2)))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ b (* a (pow (sqrt -4) 2))))) c) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* a (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) c) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -1 (* c (- (* -1 (/ b (* a c))) (/ 1 b)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (/ (+ (* 1/4 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* b c) a))) c)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* 1/4 (/ (* b c) a))) c)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | b | @ | -inf | ((/ (/ 1/2 a) (/ 1 (- (sqrt (+ (* (* c a) -4) (* b b))) b))) (/ 1/2 a) (- (sqrt (+ (* (* c a) -4) (* b b))) b) (sqrt (+ (* (* c a) -4) (* b b))) (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (/ (neg c) b) (neg c) (+ (* (neg c) (/ -1 b)) (/ b a)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ -1 b) (* (/ 1/2 a) (- (sqrt (+ (* (* c a) -4) (* b b))) b)) (- (/ 1/2 (* b b)) (/ 1/2 (* c a))) (* (- (/ 1/2 (* b b)) (/ 1/2 (* c a))) b) (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (+ (* (* c a) -4) (* b b)) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) |
| 3.0ms | b | @ | 0 | ((/ (/ 1/2 a) (/ 1 (- (sqrt (+ (* (* c a) -4) (* b b))) b))) (/ 1/2 a) (- (sqrt (+ (* (* c a) -4) (* b b))) b) (sqrt (+ (* (* c a) -4) (* b b))) (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (/ (neg c) b) (neg c) (+ (* (neg c) (/ -1 b)) (/ b a)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ -1 b) (* (/ 1/2 a) (- (sqrt (+ (* (* c a) -4) (* b b))) b)) (- (/ 1/2 (* b b)) (/ 1/2 (* c a))) (* (- (/ 1/2 (* b b)) (/ 1/2 (* c a))) b) (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (+ (* (* c a) -4) (* b b)) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) |
| 2.0ms | b | @ | inf | ((/ (/ 1/2 a) (/ 1 (- (sqrt (+ (* (* c a) -4) (* b b))) b))) (/ 1/2 a) (- (sqrt (+ (* (* c a) -4) (* b b))) b) (sqrt (+ (* (* c a) -4) (* b b))) (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (/ (neg c) b) (neg c) (+ (* (neg c) (/ -1 b)) (/ b a)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ -1 b) (* (/ 1/2 a) (- (sqrt (+ (* (* c a) -4) (* b b))) b)) (- (/ 1/2 (* b b)) (/ 1/2 (* c a))) (* (- (/ 1/2 (* b b)) (/ 1/2 (* c a))) b) (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (+ (* (* c a) -4) (* b b)) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) |
| 2.0ms | c | @ | inf | ((/ (/ 1/2 a) (/ 1 (- (sqrt (+ (* (* c a) -4) (* b b))) b))) (/ 1/2 a) (- (sqrt (+ (* (* c a) -4) (* b b))) b) (sqrt (+ (* (* c a) -4) (* b b))) (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (/ (neg c) b) (neg c) (+ (* (neg c) (/ -1 b)) (/ b a)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ -1 b) (* (/ 1/2 a) (- (sqrt (+ (* (* c a) -4) (* b b))) b)) (- (/ 1/2 (* b b)) (/ 1/2 (* c a))) (* (- (/ 1/2 (* b b)) (/ 1/2 (* c a))) b) (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (+ (* (* c a) -4) (* b b)) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) |
| 2.0ms | a | @ | 0 | ((/ (/ 1/2 a) (/ 1 (- (sqrt (+ (* (* c a) -4) (* b b))) b))) (/ 1/2 a) (- (sqrt (+ (* (* c a) -4) (* b b))) b) (sqrt (+ (* (* c a) -4) (* b b))) (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (/ (neg c) b) (neg c) (+ (* (neg c) (/ -1 b)) (/ b a)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ -1 b) (* (/ 1/2 a) (- (sqrt (+ (* (* c a) -4) (* b b))) b)) (- (/ 1/2 (* b b)) (/ 1/2 (* c a))) (* (- (/ 1/2 (* b b)) (/ 1/2 (* c a))) b) (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (+ (* (* c a) -4) (* b b)) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 869 | 4291 |
| 1 | 2870 | 4162 |
| 0 | 8932 | 3988 |
| 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))))))) |
(/ 1/2 a) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
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)))))))) |
(/ b a) |
(/ (+ b (/ (* a c) b)) a) |
(/ -1/2 (* a c)) |
(/ (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))) a) |
(* -1/2 (/ b (* a c))) |
(/ (+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) a) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(/ (+ (* -1/2 (/ b c)) (* a (+ (* -1 (* a (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a) |
(/ (+ (* -1/2 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (/ (pow c 2) (pow b 5)))))) (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 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)))))) |
(* (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)))))) |
(/ c b) |
(+ (/ b a) (/ c b)) |
(/ 1/2 (pow b 2)) |
(- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c)))) |
(/ 1/2 b) |
(+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b))) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))) |
(/ (+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2)))) a) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (* c (pow (sqrt -4) 2))))) a) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))) a) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(* -1 (/ (+ (* 1/4 (/ b c)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* 1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a)) |
(+ (* 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))) |
(+ (* 1/2 (* (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))))))))) |
(/ (+ c (/ (pow b 2) a)) b) |
(/ -1 b) |
(/ (+ 1/2 (* -1/2 (/ (pow b 2) (* a c)))) (pow b 2)) |
(/ (+ 1/2 (* -1/2 (/ (pow b 2) (* a c)))) b) |
(+ (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))) (/ b (* a (* c (pow (sqrt -4) 2))))) |
(+ (* b (+ (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* a (* c (pow (sqrt -4) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) |
(+ (* b (+ (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* a (* c (pow (sqrt -4) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* b (+ (/ 1 a) (/ c (pow b 2)))) |
(* b (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* b (- (+ (* -1 (/ (+ (* -1 (* a c)) (* 1/2 (* a c))) (pow b 4))) (* 1/2 (/ 1 (pow b 2)))) (* 1/2 (/ 1 (* a c))))) |
(* b (- (+ (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* a c)) (* 1/2 (* a c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* (pow a 2) (pow c 2)))) (pow b 6))) (* 1/2 (/ 1 (pow b 2)))) (+ (* -1 (/ (* a c) (pow b 4))) (+ (* 1/2 (/ (* a c) (pow b 4))) (* 1/2 (/ 1 (* a c))))))) |
(* -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 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (- (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (- (* 1/2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2)))))) |
(/ -1/2 b) |
(* -1 (/ (+ 1/2 (* 1/2 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (- (+ 1/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1/2 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (- (+ 1/2 (* -1 (/ (+ (* -2 (* (pow a 3) (pow c 3))) (* -1/2 (* (pow a 3) (pow c 3)))) (pow b 6)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1/2 (/ (* a c) (pow b 2))))) b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* -1 c) |
(/ (- (* 1/2 (/ c (pow b 2))) (* 1/2 (/ 1 a))) c) |
(/ (+ (* -1/2 (/ b a)) (* 1/2 (/ c b))) c) |
(/ (+ (* -1/2 (/ b a)) (* c (+ (* -1 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c) |
(/ (+ (* -1/2 (/ b a)) (* c (+ (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* c (+ (/ 1 b) (/ b (* a c)))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(/ (+ (* (sqrt (/ c a)) (/ 1 (sqrt -4))) (/ b (* a (pow (sqrt -4) 2)))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ b (* a (pow (sqrt -4) 2))))) c) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* a (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) c) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -1 (* c (- (* -1 (/ b (* a c))) (/ 1 b)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (/ (+ (* 1/4 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* b c) a))) c)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* 1/4 (/ (* b c) a))) c)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c)) |
| 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 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 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 20 binary64) a)) 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 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) |
(/ 1/2 a) |
(/.f64 #s(literal 1/2 binary64) a) |
(* -2 (/ (* a c) b)) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) c) c) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 20 binary64) a)) b) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) 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 #s(literal -2 binary64) a) (/.f64 c b) b) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a b) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) c) c) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a b) |
(/ b a) |
(/.f64 b a) |
(/ (+ b (/ (* a c) b)) a) |
(/.f64 (fma.f64 a (/.f64 c b) b) a) |
(/ -1/2 (* a c)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 c a)) |
(/ (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))) a) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 a b) (/.f64 #s(literal -1/2 binary64) c)) a) |
(* -1/2 (/ b (* a c))) |
(*.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64)) |
(/ (+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) a) |
(/.f64 (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))) a) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
(/ (+ (* -1/2 (/ b c)) (* a (+ (* -1 (* a (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64)) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -1/2 binary64))) a) |
(/ (+ (* -1/2 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (/ (pow c 2) (pow b 5)))))) (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (neg.f64 c) (*.f64 (/.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) b) (/.f64 #s(literal -1/2 binary64) b)) (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 20 binary64) b)) (*.f64 c c)) #s(literal -1/8 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64))) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -1/2 binary64))) a) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(fma.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a)) a) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a))) a) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a)))) a) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))))) a) |
(/ c b) |
(/.f64 c b) |
(+ (/ b a) (/ c b)) |
(+.f64 (/.f64 b a) (/.f64 c b)) |
(/ 1/2 (pow b 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b b)) |
(- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c)))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) (*.f64 c a))) |
(/ 1/2 b) |
(/.f64 #s(literal 1/2 binary64) b) |
(+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b))) |
(fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) b)) |
(* -4 (* a c)) |
(*.f64 (*.f64 c a) #s(literal -4 binary64)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a) |
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64))) |
(/ (+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2)))) a) |
(/.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 b c))) a) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (* c (pow (sqrt -4) 2))))) a) |
(/.f64 (-.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 b #s(literal -4 binary64)) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))))) a) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 #s(literal 1/4 binary64) (/.f64 b c))) a) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))) a) |
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(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 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) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))))) c) |
(* c (+ (/ 1 b) (/ b (* a c)))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 b a) c)) c) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c) |
(/ (+ (* (sqrt (/ c a)) (/ 1 (sqrt -4))) (/ b (* a (pow (sqrt -4) 2)))) c) |
(/.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 b a))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ b (* a (pow (sqrt -4) 2))))) c) |
(/.f64 (-.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (/.f64 b #s(literal -4 binary64)) (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) c) (/.f64 #s(literal -1/2 binary64) c))) (*.f64 #s(literal 1/4 binary64) (/.f64 b a))) c) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* a (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) c) |
(/.f64 (-.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 a a))) (/.f64 (*.f64 c c) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) b) (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (/.f64 b #s(literal -4 binary64)) (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -4 binary64)))) (pow.f64 c #s(literal 3 binary64)))) (-.f64 (fma.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 b b) #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 b a))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 b b) #s(literal -4 binary64))))) c) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 b c) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))) (neg.f64 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 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (neg.f64 c))) (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 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/128 binary64)))) (neg.f64 c))) (neg.f64 c))) (neg.f64 c)) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 b c)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/4 binary64)) (neg.f64 b)) (neg.f64 c))) (neg.f64 c)) |
(* -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)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/64 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))) (neg.f64 c)) b) (neg.f64 c))) (neg.f64 c)) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (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)))) (neg.f64 c)) |
(* -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 (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 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 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))))) (neg.f64 c)) |
(* -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 (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 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 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 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 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)))))) (neg.f64 c)) |
(* -1 (* c (- (* -1 (/ b (* a c))) (/ 1 b)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) b)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 (fma.f64 #s(literal 4 binary64) a (/.f64 (*.f64 (neg.f64 b) b) c)) (neg.f64 c)) |
(* -1 (/ (+ (* 1/4 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal 1/4 binary64) (/.f64 b a))) (neg.f64 c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* b c) a))) c)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/16 binary64)) (*.f64 (*.f64 b (/.f64 c a)) #s(literal -1/4 binary64))) (neg.f64 c))) (neg.f64 c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* 1/4 (/ (* b c) a))) c)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b)) (*.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal -1 binary64))))) b (fma.f64 (*.f64 #s(literal 1/32 binary64) (pow.f64 b #s(literal 3 binary64))) (/.f64 c (*.f64 a a)) (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b)) (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))))) c) #s(literal -1 binary64) (*.f64 (*.f64 b (/.f64 c a)) #s(literal -1/4 binary64))) (neg.f64 c))) (neg.f64 c)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 215 |
| 0 | 70 | 212 |
| 1 | 317 | 202 |
| 2 | 2323 | 202 |
| 0 | 8362 | 198 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) |
(/.f64 #s(literal 1/2 binary64) a) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (/.f64 (neg.f64 c) b)) |
(/.f64 (neg.f64 c) b) |
(neg.f64 c) |
(fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a))) |
(/.f64 #s(literal -1 binary64) b) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) (*.f64 c a))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) (*.f64 c a))) b) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) (*.f64 c a))) b))) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
#s(approx (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) (*.f64 c a))) b)) |
| Outputs |
|---|
(*.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 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))) |
(*.f64 (/.f64 (fma.f64 b (+.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 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (fma.f64 b (+.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 (fma.f64 b (+.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 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (fma.f64 b b (+.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 (/.f64 (fma.f64 b b (+.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 #s(literal 2 binary64) a)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (fma.f64 b (+.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 (fma.f64 b b (+.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 #s(literal 2 binary64) a)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (fma.f64 b b (+.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 (/.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) #s(literal -1/2 binary64)))) (/.f64 (neg.f64 (pow.f64 a #s(literal -1 binary64))) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (*.f64 b b)) #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) #s(literal -1 binary64)) a)) |
(*.f64 (/.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (*.f64 b b)) a) (/.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1 binary64)) a)) |
(*.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) a) (/.f64 (pow.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (fma.f64 b (+.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))) #s(literal -1 binary64)) a)) |
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(/.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 #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 (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 #s(literal 16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) b) b)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 (neg.f64 b) b)))) |
(/.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 (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) b) b))))) |
(/.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 (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 (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 (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 #s(literal -4 binary64) (*.f64 c a)) b) b))))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 2 binary64))) (-.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 (neg.f64 b) b))) |
(/.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 4 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) b) b)))) |
(/.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 #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 (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (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 #s(literal -4 binary64) (*.f64 c a)) b) b)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 (neg.f64 b) b)) (-.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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))) (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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 #s(literal -4 binary64) (*.f64 c a)) b) b))) (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 (neg.f64 b) b)) (-.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.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))) (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.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 #s(literal -4 binary64) (*.f64 c a)) b) b))) (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) |
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(fma.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) b (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) a)) c (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal 4 binary64) a) (neg.f64 c) (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(fma.f64 (*.f64 (neg.f64 c) a) #s(literal 4 binary64) (*.f64 b b)) |
(fma.f64 #s(literal 4 binary64) (*.f64 (neg.f64 c) a) (*.f64 b b)) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 b) b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 c a)) (*.f64 b b)) |
(fma.f64 (*.f64 b b) #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
(fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)) |
(fma.f64 #s(literal 1 binary64) (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) |
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) |
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))) (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 (neg.f64 b) b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 (neg.f64 b) b)))) |
(-.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (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 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 3 binary64)) (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 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 c a))) |
(fabs.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(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 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) |
#s(approx (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1) (*.f64 (fma.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 c a))) b)) |
Compiled 45 838 to 4 308 computations (90.6% saved)
36 alts after pruning (33 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 277 | 22 | 1 299 |
| Fresh | 7 | 11 | 18 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 287 | 36 | 1 323 |
| Status | Accuracy | Program |
|---|---|---|
| 50.4% | (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b))) | |
| 50.6% | (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) | |
| 48.8% | (/.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)))) | |
| 33.0% | (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b))) | |
| 36.8% | (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 (neg.f64 b) (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)))))) | |
| 10.4% | (/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1) (/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) b) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 c a)) b) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) b) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) b) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 c a)) b) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 c a)) b)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) b) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 c a)) b))))))) | |
| 36.9% | (/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1) (/.f64 #s(literal -1/2 binary64) b))) | |
| 15.2% | (/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) c) #s(literal 2 binary64))) (pow.f64 (fma.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) c)) #s(literal -1 binary64))) b))) | |
| 2.6% | (/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1) #s(approx (* (- (/ 1/2 (* b b)) (/ 1/2 (* c a))) b) (/.f64 #s(literal 1/2 binary64) b)))) | |
| 51.5% | (/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a)) | |
| 33.0% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 26.1% | (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) |
| 27.6% | (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 b (+.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)))) | |
| 27.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 51.6% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))) |
| 26.8% | (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal -1 binary64))) (pow.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal -1 binary64))) | |
| ✓ | 51.6% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) |
| 32.9% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b)) | |
| 37.0% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b)) | |
| 29.7% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)))) | |
| 21.3% | #s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (+.f64 #s(literal 0 binary64) c)) b)) | |
| ✓ | 32.7% | #s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (/.f64 (neg.f64 c) b)) |
| 32.1% | #s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c))) | |
| 2.4% | #s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (+.f64 (/.f64 c b) (/.f64 b a))) | |
| 32.7% | #s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) | |
| 36.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) c)) b (/.f64 (neg.f64 b) a))) | |
| 1.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (neg.f64 c) (exp.f64 (*.f64 (log.f64 (neg.f64 b)) #s(literal -1 binary64))) (/.f64 b a))) | |
| 2.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 c a (*.f64 b b)) (*.f64 b a))) | |
| 25.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a))) | |
| ✓ | 37.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
| 37.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) | |
| ▶ | 30.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) b))) |
| 19.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 a) b)) #s(literal -1 binary64)))) | |
| ▶ | 2.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 (fma.f64 a (/.f64 c b) b) a))) |
| 9.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 c b))) | |
| ▶ | 2.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a))) |
Compiled 1 998 to 1 357 computations (32.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) a) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) | |
| cost-diff | 896 | (-.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (*.f64 b b)) | |
| cost-diff | 1344 | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (*.f64 b b))) | |
| cost-diff | 0 | (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) | |
| cost-diff | 0 | (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) b) | |
| cost-diff | 0 | (neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) b)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) b))) | |
| cost-diff | 0 | (fma.f64 a (/.f64 c b) b) | |
| cost-diff | 0 | (/.f64 (fma.f64 a (/.f64 c b) b) a) | |
| cost-diff | 0 | #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 (fma.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 c) (/ -1 b)) (/ b a)) (/.f64 (fma.f64 a (/.f64 c b) b) a))) | |
| cost-diff | 0 | (/.f64 b a) | |
| cost-diff | 0 | #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a))) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) | |
| cost-diff | 0 | (/.f64 a (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) | |
| cost-diff | 384 | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 374 |
| 0 | 70 | 368 |
| 1 | 135 | 345 |
| 2 | 307 | 331 |
| 3 | 780 | 331 |
| 4 | 2954 | 323 |
| 5 | 5907 | 323 |
| 0 | 8023 | 323 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))) |
#s(literal 1/2 binary64) |
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) |
a |
(-.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)) |
#s(literal -4 binary64) |
(*.f64 c a) |
c |
(*.f64 b b) |
b |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a))) |
#s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a)) |
(/.f64 b a) |
b |
a |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 (fma.f64 a (/.f64 c b) b) a))) |
#s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 (fma.f64 a (/.f64 c b) b) a)) |
(/.f64 (fma.f64 a (/.f64 c b) b) a) |
(fma.f64 a (/.f64 c b) b) |
a |
(/.f64 c b) |
c |
b |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) b))) |
(neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) b)) |
(/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) b) |
(fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) |
c |
(/.f64 (*.f64 c a) (*.f64 b b)) |
(*.f64 c a) |
a |
(*.f64 b b) |
b |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (*.f64 b b))) |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
(-.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (*.f64 b b)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
#s(literal -4 binary64) |
(*.f64 c a) |
c |
(*.f64 b 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))) |
| Outputs |
|---|
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) |
#s(literal 1/2 binary64) |
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) |
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) |
a |
(-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #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 c a) #s(literal -4 binary64) (*.f64 b b))) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
#s(literal -4 binary64) |
(*.f64 c a) |
c |
(*.f64 b b) |
b |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a))) |
#s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a)) |
(/.f64 b a) |
b |
a |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 (fma.f64 a (/.f64 c b) b) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 (fma.f64 (/.f64 c b) a b) a))) |
#s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 (fma.f64 a (/.f64 c b) b) a)) |
#s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 (fma.f64 (/.f64 c b) a b) a)) |
(/.f64 (fma.f64 a (/.f64 c b) b) a) |
(/.f64 (fma.f64 (/.f64 c b) a b) a) |
(fma.f64 a (/.f64 c b) b) |
(fma.f64 (/.f64 c b) a b) |
a |
(/.f64 c b) |
c |
b |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 (fma.f64 (/.f64 (/.f64 a b) b) (neg.f64 c) #s(literal -1 binary64)) b) c)) |
(neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) b)) |
(*.f64 (/.f64 (fma.f64 (/.f64 (/.f64 a b) b) (neg.f64 c) #s(literal -1 binary64)) b) c) |
(/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) b) |
(*.f64 (/.f64 (fma.f64 (/.f64 (/.f64 a b) b) c #s(literal 1 binary64)) b) c) |
(fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) |
(*.f64 (fma.f64 (/.f64 (/.f64 a b) b) c #s(literal 1 binary64)) c) |
c |
(/.f64 (*.f64 c a) (*.f64 b b)) |
(*.f64 (/.f64 (/.f64 c b) b) a) |
(*.f64 c a) |
a |
(*.f64 b b) |
b |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) |
(/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (*.f64 b b))) |
(*.f64 #s(literal -2 binary64) c) |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
(-.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (*.f64 b b)) |
(*.f64 (*.f64 c a) #s(literal -4 binary64)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
#s(literal -4 binary64) |
(*.f64 c a) |
c |
(*.f64 b b) |
b |
(+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #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 c a) #s(literal -4 binary64) (*.f64 b b))) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 12.884843522478741 | (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) | |
| accuracy | 17.99106327942819 | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (*.f64 b b))) | |
| accuracy | 26.17667057714975 | (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) | |
| accuracy | 33.04957591771702 | (-.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (*.f64 b b)) | |
| accuracy | 0.26226536895700536 | (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) b) | |
| accuracy | 1.4112659045437892 | (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) | |
| accuracy | 11.087365580141093 | (/.f64 (*.f64 c a) (*.f64 b b)) | |
| accuracy | 42.997914264200524 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) b))) | |
| accuracy | 0.0 | #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 (fma.f64 a (/.f64 c b) b) a)) | |
| accuracy | 1.4615888699110826 | (fma.f64 a (/.f64 c b) b) | |
| accuracy | 4.479187602703536 | (/.f64 (fma.f64 a (/.f64 c b) b) a) | |
| accuracy | 62.47184940883684 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 (fma.f64 a (/.f64 c b) b) a))) | |
| accuracy | 0.0 | (/.f64 b a) | |
| accuracy | 21.692458095197935 | #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a)) | |
| accuracy | 62.47184940883684 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a))) | |
| accuracy | 0.8046875000000001 | (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) | |
| accuracy | 2.0320509558076987 | (/.f64 a (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) | |
| accuracy | 14.187871277436622 | (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) | |
| accuracy | 26.17667057714975 | (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
| 46.0ms | 62× | 2 | valid |
| 39.0ms | 87× | 1 | valid |
| 35.0ms | 90× | 0 | valid |
| 13.0ms | 17× | 3 | valid |
Compiled 705 to 92 computations (87% saved)
ival-mult: 27.0ms (27.5% of total)ival-div: 22.0ms (22.4% of total)ival-add: 17.0ms (17.3% of total)adjust: 15.0ms (15.3% of total)ival-sqrt: 7.0ms (7.1% of total)ival-sub: 6.0ms (6.1% of total)ival-neg: 3.0ms (3.1% of total)exact: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))) |
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b 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))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a))) |
#s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a)) |
(/.f64 b a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 (fma.f64 a (/.f64 c b) b) a))) |
#s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 (fma.f64 a (/.f64 c b) b) a)) |
(/.f64 (fma.f64 a (/.f64 c b) b) a) |
(fma.f64 a (/.f64 c b) b) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) b))) |
(neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) b)) |
(/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) b) |
(fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (*.f64 b b))) |
(-.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (*.f64 b b)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) |
(/.f64 #s(literal 1/2 binary64) a) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(/.f64 (*.f64 c a) (*.f64 b b)) |
(+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) |
| Outputs |
|---|
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -1/2 (/ b c)) |
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) |
(+ (* -1/2 (/ b c)) (* a (+ (* -1 (* a (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) |
(+ (* -1/2 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (/ (pow c 2) (pow b 5)))))) (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 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)))))))) |
(/ b a) |
(/ (+ b (/ (* a c) b)) a) |
(+ b (/ (* a c) b)) |
(- (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b)) |
(/ c b) |
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3))) |
c |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(* -2 c) |
(* -4 (* a c)) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* 2 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7))))))))))) |
(/ 1/2 a) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* 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)) (/ 1 (sqrt -4))) |
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2)))) |
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (* c (pow (sqrt -4) 2))))) |
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))) |
(* (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)))))) |
(+ (/ b a) (/ c b)) |
(/ (* a c) b) |
(* a (+ (/ b a) (/ c b))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* a (- (* -1 (/ c (* a b))) (/ (pow c 2) (pow b 3)))) |
(/ (* a (pow c 2)) (pow b 3)) |
(* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))) |
(/ (* a (pow c 2)) (pow b 2)) |
(* a (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4))))) (pow a 3))) (* 2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2)))))) a) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -1/2 (* (sqrt (/ a c)) (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ a c)) (sqrt -1))) (* -1/4 (/ b c))) |
(+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1)))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/32 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1)))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c b))))) |
(* -1 (* a (- (/ c (* a b)) (* -1 (/ (pow c 2) (pow b 3)))))) |
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2)))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (* a b))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow a 2) (pow b 3)) c))) a)) (* 2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (* a b))) a))) 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)))))) |
(+ (* 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 (+ (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(+ (* b (+ (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(+ (* -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))) |
(+ (* 1/2 (* (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))))))))) |
(/ (+ c (/ (pow b 2) a)) b) |
(/ (+ (* a c) (pow b 2)) b) |
(/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 3)) |
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3)) |
(/ (+ (* 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 (+ (* 2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (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 (+ (* -2 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))))) (* 2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4))) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* b (- (* -1 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))) |
(* b (- (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (* (pow a 3) (pow c 2)))) (pow b 6))) (+ (* -1 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (+ (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (* 1/2 (/ 1 c))))))) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* b (+ (/ 1 a) (/ c (pow b 2)))) |
(* b (+ 1 (/ (* a c) (pow b 2)))) |
(/ (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) b) |
(/ (+ c (/ (* 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) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -1/2 (/ a b)) |
(* -1 (/ (+ (* 1/2 a) (* 1/2 (/ (* (pow a 2) c) (pow b 2)))) b)) |
(* -1 (/ (- (+ (* 1/2 a) (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2)))) b)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -2 (* (pow a 4) (pow c 3))) (* -1/2 (* (pow a 4) (pow c 3)))) (pow b 6))) (* 1/2 a)) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2))))) b)) |
(* -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 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (- (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (- (* -1 (/ (* a c) (pow b 2))) 1))) |
(* -1 (/ (- (/ (* a (pow c 2)) (pow b 2)) (* -1 c)) b)) |
(* -1 (/ (+ (* -1 c) (* -1 (/ (* 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 (/ (* a c) b)) |
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c) |
(/ (+ (* -1/2 b) (* c (- (* -1 (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c) |
(/ (+ (* -1/2 b) (* c (- (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) a)) (/ (pow a 3) (pow b 5)))))) (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c) |
(* 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 (+ (/ 1 b) (/ (* a c) (pow b 3)))) |
(* c (+ 1 (/ (* a c) (pow b 2)))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* 2 (* c (+ (* -2 (/ (pow a 3) (pow b 7))) (* -1/2 (/ (pow a 3) (pow b 7)))))))))) (/ 1 b))) |
(+ (* 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))))))) |
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -4))) (/ b (pow (sqrt -4) 2))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (pow (sqrt -4) 2)))) c) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (pow (sqrt -4) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) c) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* c (+ (/ 1 b) (/ b (* a c)))) |
(* c (+ (/ a b) (/ b c))) |
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))) |
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))) |
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))) |
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (/ (+ (* 1/4 b) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) (* 1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* (pow b 3) c) a)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* 1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -1 (* c (- (* -1 (/ b (* a c))) (/ 1 b)))) |
(* -1 (* c (+ (* -1 (/ a b)) (* -1 (/ b c))))) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))))))) (* -1/16 (/ (* (pow b 3) c) (pow a 2)))) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | b | @ | -inf | ((/ 1/2 (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b))) (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt (+ (* -4 (* c a)) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (* (neg c) (/ -1 b)) (/ b a)) (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (* (neg c) (/ -1 b)) (/ b a)) (/ (+ (* a (/ c b)) b) a) (+ (* a (/ c b)) b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (/ (+ (* c (/ (* c a) (* b b))) c) b)) (/ (+ (* c (/ (* c a) (* b b))) c) b) (+ (* c (/ (* c a) (* b b))) c) (* (/ 1/2 a) (- (+ (* -4 (* c a)) (* b b)) (* b b))) (- (+ (* -4 (* c a)) (* b b)) (* b b)) (/ (* (/ 1/2 a) (- (+ (* -4 (* c a)) (* b b)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/ 1/2 a) (+ (* -4 (* c a)) (* b b)) (/ (* c a) (* b b)) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) |
| 6.0ms | a | @ | -inf | ((/ 1/2 (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b))) (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt (+ (* -4 (* c a)) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (* (neg c) (/ -1 b)) (/ b a)) (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (* (neg c) (/ -1 b)) (/ b a)) (/ (+ (* a (/ c b)) b) a) (+ (* a (/ c b)) b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (/ (+ (* c (/ (* c a) (* b b))) c) b)) (/ (+ (* c (/ (* c a) (* b b))) c) b) (+ (* c (/ (* c a) (* b b))) c) (* (/ 1/2 a) (- (+ (* -4 (* c a)) (* b b)) (* b b))) (- (+ (* -4 (* c a)) (* b b)) (* b b)) (/ (* (/ 1/2 a) (- (+ (* -4 (* c a)) (* b b)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/ 1/2 a) (+ (* -4 (* c a)) (* b b)) (/ (* c a) (* b b)) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) |
| 6.0ms | c | @ | inf | ((/ 1/2 (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b))) (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt (+ (* -4 (* c a)) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (* (neg c) (/ -1 b)) (/ b a)) (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (* (neg c) (/ -1 b)) (/ b a)) (/ (+ (* a (/ c b)) b) a) (+ (* a (/ c b)) b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (/ (+ (* c (/ (* c a) (* b b))) c) b)) (/ (+ (* c (/ (* c a) (* b b))) c) b) (+ (* c (/ (* c a) (* b b))) c) (* (/ 1/2 a) (- (+ (* -4 (* c a)) (* b b)) (* b b))) (- (+ (* -4 (* c a)) (* b b)) (* b b)) (/ (* (/ 1/2 a) (- (+ (* -4 (* c a)) (* b b)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/ 1/2 a) (+ (* -4 (* c a)) (* b b)) (/ (* c a) (* b b)) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) |
| 6.0ms | c | @ | -inf | ((/ 1/2 (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b))) (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt (+ (* -4 (* c a)) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (* (neg c) (/ -1 b)) (/ b a)) (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (* (neg c) (/ -1 b)) (/ b a)) (/ (+ (* a (/ c b)) b) a) (+ (* a (/ c b)) b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (/ (+ (* c (/ (* c a) (* b b))) c) b)) (/ (+ (* c (/ (* c a) (* b b))) c) b) (+ (* c (/ (* c a) (* b b))) c) (* (/ 1/2 a) (- (+ (* -4 (* c a)) (* b b)) (* b b))) (- (+ (* -4 (* c a)) (* b b)) (* b b)) (/ (* (/ 1/2 a) (- (+ (* -4 (* c a)) (* b b)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/ 1/2 a) (+ (* -4 (* c a)) (* b b)) (/ (* c a) (* b b)) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) |
| 5.0ms | a | @ | inf | ((/ 1/2 (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b))) (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt (+ (* -4 (* c a)) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (* (neg c) (/ -1 b)) (/ b a)) (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (* (neg c) (/ -1 b)) (/ b a)) (/ (+ (* a (/ c b)) b) a) (+ (* a (/ c b)) b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (/ (+ (* c (/ (* c a) (* b b))) c) b)) (/ (+ (* c (/ (* c a) (* b b))) c) b) (+ (* c (/ (* c a) (* b b))) c) (* (/ 1/2 a) (- (+ (* -4 (* c a)) (* b b)) (* b b))) (- (+ (* -4 (* c a)) (* b b)) (* b b)) (/ (* (/ 1/2 a) (- (+ (* -4 (* c a)) (* b b)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/ 1/2 a) (+ (* -4 (* c a)) (* b b)) (/ (* c a) (* b b)) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1170 | 6300 |
| 1 | 3941 | 6095 |
| 0 | 8153 | 5845 |
| 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))))))) |
(* -1/2 (/ b c)) |
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) |
(+ (* -1/2 (/ b c)) (* a (+ (* -1 (* a (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) |
(+ (* -1/2 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (/ (pow c 2) (pow b 5)))))) (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 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)))))))) |
(/ b a) |
(/ (+ b (/ (* a c) b)) a) |
(+ b (/ (* a c) b)) |
(- (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b)) |
(/ c b) |
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3))) |
c |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(* -2 c) |
(* -4 (* a c)) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* 2 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7))))))))))) |
(/ 1/2 a) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* 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)) (/ 1 (sqrt -4))) |
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2)))) |
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (* c (pow (sqrt -4) 2))))) |
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))) |
(* (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)))))) |
(+ (/ b a) (/ c b)) |
(/ (* a c) b) |
(* a (+ (/ b a) (/ c b))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* a (- (* -1 (/ c (* a b))) (/ (pow c 2) (pow b 3)))) |
(/ (* a (pow c 2)) (pow b 3)) |
(* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))) |
(/ (* a (pow c 2)) (pow b 2)) |
(* a (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4))))) (pow a 3))) (* 2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2)))))) a) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -1/2 (* (sqrt (/ a c)) (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ a c)) (sqrt -1))) (* -1/4 (/ b c))) |
(+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1)))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/32 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1)))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c b))))) |
(* -1 (* a (- (/ c (* a b)) (* -1 (/ (pow c 2) (pow b 3)))))) |
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2)))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (* a b))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow a 2) (pow b 3)) c))) a)) (* 2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (* a b))) a))) 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)))))) |
(+ (* 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 (+ (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(+ (* b (+ (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(+ (* -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))) |
(+ (* 1/2 (* (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))))))))) |
(/ (+ c (/ (pow b 2) a)) b) |
(/ (+ (* a c) (pow b 2)) b) |
(/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 3)) |
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3)) |
(/ (+ (* 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 (+ (* 2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (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 (+ (* -2 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))))) (* 2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4))) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* b (- (* -1 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))) |
(* b (- (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (* (pow a 3) (pow c 2)))) (pow b 6))) (+ (* -1 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (+ (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (* 1/2 (/ 1 c))))))) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* b (+ (/ 1 a) (/ c (pow b 2)))) |
(* b (+ 1 (/ (* a c) (pow b 2)))) |
(/ (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) b) |
(/ (+ c (/ (* 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) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -1/2 (/ a b)) |
(* -1 (/ (+ (* 1/2 a) (* 1/2 (/ (* (pow a 2) c) (pow b 2)))) b)) |
(* -1 (/ (- (+ (* 1/2 a) (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2)))) b)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -2 (* (pow a 4) (pow c 3))) (* -1/2 (* (pow a 4) (pow c 3)))) (pow b 6))) (* 1/2 a)) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2))))) b)) |
(* -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 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (- (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (- (* -1 (/ (* a c) (pow b 2))) 1))) |
(* -1 (/ (- (/ (* a (pow c 2)) (pow b 2)) (* -1 c)) b)) |
(* -1 (/ (+ (* -1 c) (* -1 (/ (* 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 (/ (* a c) b)) |
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c) |
(/ (+ (* -1/2 b) (* c (- (* -1 (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c) |
(/ (+ (* -1/2 b) (* c (- (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) a)) (/ (pow a 3) (pow b 5)))))) (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c) |
(* 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 (+ (/ 1 b) (/ (* a c) (pow b 3)))) |
(* c (+ 1 (/ (* a c) (pow b 2)))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* 2 (* c (+ (* -2 (/ (pow a 3) (pow b 7))) (* -1/2 (/ (pow a 3) (pow b 7)))))))))) (/ 1 b))) |
(+ (* 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))))))) |
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -4))) (/ b (pow (sqrt -4) 2))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (pow (sqrt -4) 2)))) c) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (pow (sqrt -4) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) c) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* c (+ (/ 1 b) (/ b (* a c)))) |
(* c (+ (/ a b) (/ b c))) |
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))) |
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))) |
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))) |
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (/ (+ (* 1/4 b) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) (* 1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* (pow b 3) c) a)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* 1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -1 (* c (- (* -1 (/ b (* a c))) (/ 1 b)))) |
(* -1 (* c (+ (* -1 (/ a b)) (* -1 (/ b c))))) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))))))) (* -1/16 (/ (* (pow b 3) c) (pow a 2)))) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
| Outputs |
|---|
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal -2 binary64) (/.f64 (neg.f64 (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (neg.f64 (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) |
(* -1/2 (/ b c)) |
(*.f64 (/.f64 b c) #s(literal -1/2 binary64)) |
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) |
(fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ b c)) (* a (+ (* -1 (* a (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64)) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (/ (pow c 2) (pow b 5)))))) (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (neg.f64 c) (*.f64 (/.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) b) (/.f64 #s(literal -1/2 binary64) b)) (fma.f64 (/.f64 #s(literal -1/8 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64))) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -1/2 binary64))) |
(* -2 (/ (* a c) b)) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a b) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a b) |
(/ b a) |
(/.f64 b a) |
(/ (+ b (/ (* a c) b)) a) |
(/.f64 (fma.f64 a (/.f64 c b) b) a) |
(+ b (/ (* a c) b)) |
(fma.f64 a (/.f64 c b) b) |
(- (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b)) |
(neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) |
(/ c b) |
(/.f64 c b) |
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3))) |
(fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)) |
c |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) |
(* -2 c) |
(*.f64 #s(literal -2 binary64) c) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* 2 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7))))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -5/2 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (neg.f64 (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) |
(/ 1/2 a) |
(/.f64 #s(literal 1/2 binary64) a) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(/ (* a c) (pow b 2)) |
(*.f64 (/.f64 a b) (/.f64 c 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) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) 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 #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 (*.f64 #s(literal 2 binary64) b)) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64)) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64)))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/16 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64))))) |
(* (sqrt (/ a c)) (/ 1 (sqrt -4))) |
(/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2)))) |
(-.f64 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 b c))) |
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (* c (pow (sqrt -4) 2))))) |
(-.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64))) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))))) a) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 #s(literal 1/4 binary64) (/.f64 b c))) |
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))) |
(-.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (fma.f64 (*.f64 b (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64))) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 a c)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 c c)) (/.f64 (*.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 4 binary64))))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (neg.f64 (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 b c))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a)) a) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a))) a) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a)))) a) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64))))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))))) a) |
(+ (/ b a) (/ c b)) |
(+.f64 (/.f64 c b) (/.f64 b a)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(* a (+ (/ b a) (/ c b))) |
(*.f64 (+.f64 (/.f64 c b) (/.f64 b a)) a) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(*.f64 (neg.f64 a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64)))) |
(* a (- (* -1 (/ c (* a b))) (/ (pow c 2) (pow b 3)))) |
(*.f64 (neg.f64 a) (+.f64 (/.f64 (/.f64 c a) b) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) |
(/ (* a (pow c 2)) (pow b 3)) |
(/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) |
(* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))) |
(*.f64 (+.f64 (/.f64 (/.f64 c a) b) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64)))) a) |
(/ (* a (pow c 2)) (pow b 2)) |
(*.f64 (/.f64 (*.f64 c c) b) (/.f64 a b)) |
(* a (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(*.f64 (fma.f64 (/.f64 c b) (/.f64 c b) (/.f64 c a)) a) |
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
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(*.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 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) #s(literal 1/16 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) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))))) c) |
(* c (+ (/ 1 b) (/ b (* a c)))) |
(*.f64 (+.f64 (/.f64 (/.f64 b a) c) (/.f64 #s(literal 1 binary64) b)) c) |
(* c (+ (/ a b) (/ b c))) |
(*.f64 (+.f64 (/.f64 a b) (/.f64 b c)) c) |
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))) |
(*.f64 (neg.f64 (*.f64 c c)) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) c) (/.f64 a (pow.f64 b #s(literal 3 binary64))))) |
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))) |
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) c) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (*.f64 c c)) |
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b))) (*.f64 c c)) |
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) |
(-.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) #s(literal -2 binary64)) (/.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64)))) (*.f64 c c))) (*.f64 #s(literal 1/2 binary64) (/.f64 b a))) |
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) |
(fma.f64 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) #s(literal -2 binary64) (-.f64 (/.f64 (neg.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 c a))) (*.f64 b (/.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64)))) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 (/.f64 (*.f64 c c) (*.f64 a a)) (/.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 4 binary64)))))) (pow.f64 c #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 #s(literal 1/2 binary64) (/.f64 b a))))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c) |
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b c)) c) |
(* 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 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 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 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64))) (/.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))) c)) (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 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (/.f64 (fma.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))) (*.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)))) c)) c)) (neg.f64 c)) |
(* -1 (/ (+ (* 1/4 b) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) b))) c) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) (* 1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/16 binary64) (*.f64 (*.f64 b c) #s(literal -1/4 binary64))) c))) c) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* (pow b 3) c) a)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* 1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) c) a) #s(literal 1/32 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/16 binary64))) (*.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))))) c) #s(literal -1 binary64) (*.f64 (*.f64 b c) #s(literal -1/4 binary64)))) c))) c) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64) (/.f64 b c)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 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)) (neg.f64 b)) c)) (neg.f64 c)) |
(* -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)))))) |
(*.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (neg.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) b) c)) (neg.f64 c)) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64))) (neg.f64 c)) |
(* -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 (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 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64)))) (neg.f64 c)) |
(* -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 (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 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64))))) (neg.f64 c)) |
(* -1 (* c (- (* -1 (/ b (* a c))) (/ 1 b)))) |
(*.f64 (-.f64 (/.f64 (neg.f64 b) (*.f64 c a)) (/.f64 #s(literal 1 binary64) b)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ a b)) (* -1 (/ b c))))) |
(*.f64 (-.f64 (/.f64 (neg.f64 a) b) (/.f64 b c)) (neg.f64 c)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) |
(+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/8 binary64) (*.f64 (*.f64 b (/.f64 c a)) #s(literal 1/2 binary64))) c)) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))))))) (* -1/16 (/ (* (pow b 3) c) (pow a 2)))) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) #s(literal -1/8 binary64))) (fma.f64 (/.f64 #s(literal -1/16 binary64) a) (/.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) c) a) (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) #s(literal 1/8 binary64)))) c) #s(literal -1 binary64) (*.f64 (*.f64 b (/.f64 c a)) #s(literal 1/2 binary64)))) c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 (fma.f64 #s(literal 4 binary64) a (neg.f64 (/.f64 (*.f64 b b) c))) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64) (/.f64 (neg.f64 b) c)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 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) c)) (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 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 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)) c)) (neg.f64 c)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 318 |
| 0 | 70 | 299 |
| 1 | 303 | 277 |
| 2 | 2559 | 277 |
| 0 | 9748 | 275 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))) |
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b 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))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a))) |
#s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a)) |
(/.f64 b a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 (fma.f64 a (/.f64 c b) b) a))) |
#s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 (fma.f64 a (/.f64 c b) b) a)) |
(/.f64 (fma.f64 a (/.f64 c b) b) a) |
(fma.f64 a (/.f64 c b) b) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) b))) |
(neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) b)) |
(/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) b) |
(fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (*.f64 b b))) |
(-.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (*.f64 b b)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) |
(/.f64 #s(literal 1/2 binary64) a) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(/.f64 (*.f64 c a) (*.f64 b b)) |
(+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 (*.f64 c a) #s(literal -4 binary64) #s(literal 0 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 b b (+.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) (*.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 a #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 a)) (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) a)) (fma.f64 (*.f64 c a) #s(literal -4 binary64) #s(literal 0 binary64))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 b (-.f64 b (sqrt.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 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 1/2 binary64)) (pow.f64 a #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) a)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) a))) |
(*.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)) (neg.f64 a)) (pow.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 (neg.f64 a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) a)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) |
(*.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) (/.f64 #s(literal 1/2 binary64) a)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a)) |
(pow.f64 (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (*.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (neg.f64 a)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) a) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) a)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) a)) (fma.f64 b b (+.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal -1 binary64))) a) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 b b (+.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 1/2 binary64))) (neg.f64 a)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) (neg.f64 (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)) (neg.f64 a))) (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 (*.f64 #s(literal 2 binary64) a) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 b b (+.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 (neg.f64 a) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (neg.f64 a) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (neg.f64 a) (fma.f64 b b (+.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 a (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 a (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 a (fma.f64 b b (+.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))))) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64)) (*.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 b b (+.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c a) #s(literal -4 binary64) #s(literal 0 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 c a) #s(literal -4 binary64) #s(literal 0 binary64))) (*.f64 (neg.f64 a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 1/2 binary64)) a) |
(/.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a)) |
(/.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (*.f64 (*.f64 #s(literal 2 binary64) a) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 2 binary64)) |
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(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 b b (+.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))))) |
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(fma.f64 (/.f64 c b) a b) |
(fma.f64 (*.f64 c a) (pow.f64 b #s(literal -1 binary64)) b) |
(fma.f64 c (*.f64 (pow.f64 b #s(literal -1 binary64)) a) b) |
(fma.f64 c (/.f64 a b) b) |
(fma.f64 a (/.f64 c b) b) |
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(+.f64 (*.f64 (/.f64 c b) a) b) |
(+.f64 b (*.f64 (/.f64 c b) a)) |
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(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 a (pow.f64 b #s(literal -2 binary64))) c #s(literal 1 binary64)) c) b)) |
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(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 a (pow.f64 b #s(literal -2 binary64))) c #s(literal 1 binary64)) c) #s(literal -1 binary64)) b) |
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(/.f64 #s(literal 1 binary64) (/.f64 b (neg.f64 (*.f64 (fma.f64 (*.f64 a (pow.f64 b #s(literal -2 binary64))) c #s(literal 1 binary64)) c)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 (neg.f64 b) b)) (-.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.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))) (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.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 (*.f64 c a) #s(literal -4 binary64)) b) b))) (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) |
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) |
(fma.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) b (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
(fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) a)) c (*.f64 b b)) |
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal 4 binary64) a) (neg.f64 c) (*.f64 b b)) |
(fma.f64 #s(literal 1 binary64) (*.f64 b b) (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
(fma.f64 (*.f64 (neg.f64 a) c) #s(literal 4 binary64) (*.f64 b b)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 b) b) (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 c a)) (*.f64 b b)) |
(fma.f64 #s(literal 4 binary64) (*.f64 (neg.f64 a) c) (*.f64 b b)) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
(fma.f64 (*.f64 b b) #s(literal 1 binary64) (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
(fma.f64 b b (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))) (/.f64 (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 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 (neg.f64 b) b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 (neg.f64 b) b)))) |
(-.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (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 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 3 binary64)) (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 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 c a))) |
(fabs.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) |
(+.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) (*.f64 b b)) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) |
(*.f64 (*.f64 a (pow.f64 b #s(literal -2 binary64))) c) |
(*.f64 (pow.f64 b #s(literal -2 binary64)) (pow.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 b #s(literal -2 binary64)) (*.f64 c a)) |
(*.f64 (pow.f64 b #s(literal -1 binary64)) (*.f64 (/.f64 c b) a)) |
(*.f64 (/.f64 a b) (/.f64 c b)) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (pow.f64 b #s(literal -2 binary64))) c)) |
(*.f64 (*.f64 (neg.f64 a) c) (pow.f64 (*.f64 (neg.f64 b) b) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 c b) a) (pow.f64 b #s(literal -1 binary64))) |
(*.f64 (/.f64 c b) (/.f64 a b)) |
(*.f64 (*.f64 c a) (pow.f64 b #s(literal -2 binary64))) |
(*.f64 c (*.f64 (pow.f64 b #s(literal -1 binary64)) (/.f64 a b))) |
(*.f64 c (*.f64 a (pow.f64 b #s(literal -2 binary64)))) |
(*.f64 a (/.f64 (/.f64 c b) b)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(*.f64 a (*.f64 c (pow.f64 b #s(literal -2 binary64)))) |
(pow.f64 (/.f64 (*.f64 (/.f64 b c) (/.f64 b a)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 b (*.f64 (/.f64 c b) a)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 b c) (/.f64 b a)) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 a b)) (/.f64 b c)) |
(/.f64 (*.f64 (neg.f64 c) (/.f64 a b)) (neg.f64 b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal 1 binary64)) (*.f64 b b)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 a) c)) (*.f64 b b)) |
(/.f64 (neg.f64 (*.f64 (/.f64 c b) a)) (neg.f64 b)) |
(/.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 b c) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 b c) (/.f64 b a)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 (/.f64 c b) a))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b c) (/.f64 b a))) |
(/.f64 (*.f64 (neg.f64 a) c) (*.f64 (neg.f64 b) b)) |
(/.f64 (*.f64 (/.f64 c b) a) b) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 b c) (/.f64 b a)))) |
(/.f64 (*.f64 c a) (*.f64 b b)) |
(neg.f64 (/.f64 (*.f64 (neg.f64 a) c) (*.f64 b b))) |
(neg.f64 (/.f64 (*.f64 c a) (*.f64 (neg.f64 b) b))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 b c) (/.f64 b a))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) #s(literal 0 binary64)) (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) |
(*.f64 (/.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) #s(literal 0 binary64)) (fma.f64 (*.f64 c a) #s(literal -4 binary64) #s(literal 0 binary64))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) |
(*.f64 (/.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) #s(literal 0 binary64)) (-.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) #s(literal 0 binary64)) (-.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 b b (+.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (fma.f64 b (-.f64 b (sqrt.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))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) #s(literal 0 binary64)) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) #s(literal 0 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 b (-.f64 b (sqrt.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 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) (*.f64 b b))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (fma.f64 b (-.f64 b (sqrt.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 (neg.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) #s(literal 0 binary64))) (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b b (-.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b (-.f64 b (sqrt.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 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) #s(literal 0 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (-.f64 b (sqrt.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 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))))) |
(/.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) #s(literal 0 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) |
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) b) |
(fma.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 1/4 binary64)) b) |
(fma.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 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal -1 binary64))) b) |
(fma.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)))) (pow.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) b) |
(fma.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 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 (neg.f64 b) b)) #s(literal -1 binary64))) b) |
(fma.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)))) (pow.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 (neg.f64 b) b)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) b) |
(fma.f64 (sqrt.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 (pow.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))) #s(literal -1 binary64))) b) |
(fma.f64 (sqrt.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 (pow.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 (*.f64 c a) #s(literal -4 binary64)) b) b))) #s(literal -1 binary64))) b) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (pow.f64 (pow.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))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) b) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (pow.f64 (pow.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 (*.f64 c a) #s(literal -4 binary64)) b) b))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) b) |
(-.f64 (/.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) |
(+.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) |
Compiled 46 053 to 4 674 computations (89.9% saved)
33 alts after pruning (27 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 099 | 7 | 1 106 |
| Fresh | 8 | 20 | 28 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 2 | 3 |
| Total | 1 109 | 33 | 1 142 |
| Status | Accuracy | Program |
|---|---|---|
| 36.8% | (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 (neg.f64 b) (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)))))) | |
| 36.9% | (/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1) (/.f64 #s(literal -1/2 binary64) b))) | |
| 15.2% | (/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) c) #s(literal 2 binary64))) (pow.f64 (fma.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) c)) #s(literal -1 binary64))) b))) | |
| 2.6% | (/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1) #s(approx (* (- (/ 1/2 (* b b)) (/ 1/2 (* c a))) b) (/.f64 #s(literal 1/2 binary64) b)))) | |
| 33.0% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) | |
| 27.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) | |
| 48.8% | (/.f64 #s(approx (* (/ 1/2 a) (- (+ (* -4 (* c a)) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) | |
| ✓ | 51.6% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))) |
| 32.7% | (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))))) | |
| 32.6% | (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) b)) c))) | |
| 31.4% | (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (-.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) c)) b))) | |
| 44.0% | (*.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) a))) | |
| 32.9% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b)) | |
| 37.0% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b)) | |
| 29.7% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)))) | |
| 21.3% | #s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (+.f64 #s(literal 0 binary64) c)) b)) | |
| ✓ | 32.7% | #s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (/.f64 (neg.f64 c) b)) |
| 32.1% | #s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c))) | |
| 2.4% | #s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (+.f64 (/.f64 c b) (/.f64 b a))) | |
| 32.7% | #s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) | |
| 36.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) c)) b (/.f64 (neg.f64 b) a))) | |
| 1.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (neg.f64 c) (exp.f64 (*.f64 (log.f64 (neg.f64 b)) #s(literal -1 binary64))) (/.f64 b a))) | |
| 2.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 c a (*.f64 b b)) (*.f64 b a))) | |
| 25.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a))) | |
| ✓ | 37.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
| 37.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) | |
| ✓ | 30.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) b))) |
| 19.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 a) b)) #s(literal -1 binary64)))) | |
| ✓ | 2.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 (fma.f64 a (/.f64 c b) b) a))) |
| 1.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 a)) (*.f64 (neg.f64 a) b)) (*.f64 a a)))) | |
| 9.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 #s(approx (+ (* a (/ c b)) b) (*.f64 a (/.f64 c b))) a))) | |
| 9.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 c b))) | |
| ✓ | 2.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a))) |
Compiled 2 718 to 1 012 computations (62.8% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 c 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 (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b))) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+.f64 (/.f64 c b) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (+.f64 (/.f64 c b) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 #s(approx (+ (* a (/ c b)) b) (*.f64 a (/.f64 c b))) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 c a (*.f64 b b)) (*.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 (fma.f64 a (/.f64 c b) b) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 a)) (*.f64 (neg.f64 a) b)) (*.f64 a a)))) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (+.f64 #s(literal 0 binary64) c)) b)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1) #s(approx (* (- (/ 1/2 (* b b)) (/ 1/2 (* c a))) b) (/.f64 #s(literal 1/2 binary64) b)))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1) (/.f64 #s(literal -1/2 binary64) b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)))) |
(/.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 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) |
(/.f64 #s(approx (* (/ 1/2 a) (- (+ (* -4 (* c a)) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) c)) b (/.f64 (neg.f64 b) a))) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) b)) 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 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (-.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) c)) b))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c #s(literal 1 binary64)) (/.f64 a b) (*.f64 b #s(literal 1 binary64))) (*.f64 b (/.f64 a b)))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b))) |
(/.f64 #s(approx (+ (* b b) (+ (* (* c a) 4) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) (*.f64 c a))) b))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) c))) |
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (fma.f64 b b (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))) b) (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 (neg.f64 b) (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (-.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) #s(literal -1 binary64)) a)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 a) b)) #s(literal -1 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (neg.f64 c) (exp.f64 (*.f64 (log.f64 (neg.f64 b)) #s(literal -1 binary64))) (/.f64 b a))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) a)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 b (+.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 #s(literal 1/2 binary64) a) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1) (/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) b) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 c a)) b) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) b) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) b) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 c a)) b) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 c a)) b)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) b) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 c a)) b))))))) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) c) #s(literal 2 binary64))) (pow.f64 (fma.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) c)) #s(literal -1 binary64))) b))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal -1 binary64))) (pow.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (* (/ 1/2 a) (- (+ (* -4 (* c a)) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
4 calls:
| 21.0ms | c |
| 20.0ms | a |
| 16.0ms | b |
| 14.0ms | (/.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 |
|---|---|---|
| 59.4% | 5 | a |
| 87.9% | 4 | b |
| 51.7% | 1 | c |
| 74.6% | 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) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 c 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 (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b))) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+.f64 (/.f64 c b) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (+.f64 (/.f64 c b) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 #s(approx (+ (* a (/ c b)) b) (*.f64 a (/.f64 c b))) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 c a (*.f64 b b)) (*.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 (fma.f64 a (/.f64 c b) b) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 a)) (*.f64 (neg.f64 a) b)) (*.f64 a a)))) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (+.f64 #s(literal 0 binary64) c)) b)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1) #s(approx (* (- (/ 1/2 (* b b)) (/ 1/2 (* c a))) b) (/.f64 #s(literal 1/2 binary64) b)))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1) (/.f64 #s(literal -1/2 binary64) b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)))) |
(/.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 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) |
(/.f64 #s(approx (* (/ 1/2 a) (- (+ (* -4 (* c a)) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) c)) b (/.f64 (neg.f64 b) a))) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) b)) c))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) |
(/.f64 #s(approx (* (/ 1/2 a) (- (+ (* -4 (* c a)) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
1 calls:
| 9.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.9% | 4 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 c 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 (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b))) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+.f64 (/.f64 c b) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (+.f64 (/.f64 c b) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 #s(approx (+ (* a (/ c b)) b) (*.f64 a (/.f64 c b))) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 c a (*.f64 b b)) (*.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 (fma.f64 a (/.f64 c b) b) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 a)) (*.f64 (neg.f64 a) b)) (*.f64 a a)))) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (+.f64 #s(literal 0 binary64) c)) b)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1) #s(approx (* (- (/ 1/2 (* b b)) (/ 1/2 (* c a))) b) (/.f64 #s(literal 1/2 binary64) b)))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1) (/.f64 #s(literal -1/2 binary64) b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)))) |
(/.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 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
1 calls:
| 13.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.9% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 c 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 (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b))) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+.f64 (/.f64 c b) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (+.f64 (/.f64 c b) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 #s(approx (+ (* a (/ c b)) b) (*.f64 a (/.f64 c b))) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 c a (*.f64 b b)) (*.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 (fma.f64 a (/.f64 c b) b) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 a)) (*.f64 (neg.f64 a) b)) (*.f64 a a)))) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (+.f64 #s(literal 0 binary64) c)) b)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1) #s(approx (* (- (/ 1/2 (* b b)) (/ 1/2 (* c a))) b) (/.f64 #s(literal 1/2 binary64) b)))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1) (/.f64 #s(literal -1/2 binary64) b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)))) |
(/.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 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.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:
| 8.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.6% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 c 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 (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b))) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+.f64 (/.f64 c b) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (+.f64 (/.f64 c b) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 #s(approx (+ (* a (/ c b)) b) (*.f64 a (/.f64 c b))) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 c a (*.f64 b b)) (*.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 (fma.f64 a (/.f64 c b) b) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 a)) (*.f64 (neg.f64 a) b)) (*.f64 a a)))) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (+.f64 #s(literal 0 binary64) c)) b)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1) #s(approx (* (- (/ 1/2 (* b b)) (/ 1/2 (* c a))) b) (/.f64 #s(literal 1/2 binary64) b)))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1) (/.f64 #s(literal -1/2 binary64) b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)))) |
(/.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 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) 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 |
|---|---|---|
| 78.6% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 c 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 (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b))) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+.f64 (/.f64 c b) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (+.f64 (/.f64 c b) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 #s(approx (+ (* a (/ c b)) b) (*.f64 a (/.f64 c b))) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 c a (*.f64 b b)) (*.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 (fma.f64 a (/.f64 c b) b) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 a)) (*.f64 (neg.f64 a) b)) (*.f64 a a)))) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (+.f64 #s(literal 0 binary64) c)) b)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1) #s(approx (* (- (/ 1/2 (* b b)) (/ 1/2 (* c a))) b) (/.f64 #s(literal 1/2 binary64) b)))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1) (/.f64 #s(literal -1/2 binary64) b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)))) |
(/.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)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 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:
| 12.0ms | b |
| 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)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.0% | 3 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| 67.4% | 2 | b |
Compiled 18 to 17 computations (5.6% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 c 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 (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b))) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* -4 (* c a)) (* b b))) b) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+.f64 (/.f64 c b) (/.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) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
1 calls:
| 3.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.2% | 2 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 c 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) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 c b))) |
4 calls:
| 2.0ms | a |
| 2.0ms | c |
| 2.0ms | b |
| 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 |
|---|---|---|
| 37.0% | 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)) |
| 37.0% | 1 | c |
| 37.0% | 1 | a |
| 43.8% | 2 | b |
Compiled 20 to 23 computations (-15% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 c b))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 c b))) |
4 calls:
| 4.0ms | a |
| 1.0ms | c |
| 1.0ms | b |
| 1.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 9.4% | 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)) |
| 9.4% | 1 | a |
| 9.4% | 1 | c |
| 9.4% | 1 | b |
Compiled 20 to 23 computations (-15% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a))) |
4 calls:
| 1.0ms | c |
| 1.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| 1.0ms | b |
| 1.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 2.6% | 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)) |
| 2.6% | 1 | c |
| 2.6% | 1 | b |
| 2.6% | 1 | a |
Compiled 20 to 23 computations (-15% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 2.0908110847617924e+136 | 5.062682362584688e+136 |
| 19.0ms | -9.813509064744756e-309 | 6.012701869177969e-308 |
| 17.0ms | -4.277851944119179e+116 | -5.912525817074459e+111 |
| 19.0ms | 249× | 0 | valid |
| 7.0ms | 38× | 2 | valid |
| 6.0ms | 74× | 0 | invalid |
| 5.0ms | 26× | 1 | valid |
| 2.0ms | 7× | 3 | valid |
Compiled 973 to 759 computations (22% saved)
ival-mult: 9.0ms (35% of total)ival-sqrt: 4.0ms (15.5% of total)ival-div: 3.0ms (11.7% of total)adjust: 2.0ms (7.8% of total)ival-sub: 2.0ms (7.8% of total)ival-add: 2.0ms (7.8% of total)ival-neg: 2.0ms (7.8% 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 |
|---|---|---|
| 1.0ms | 2.0908110847617924e+136 | 5.062682362584688e+136 |
| 14.0ms | -9.813509064744756e-309 | 6.012701869177969e-308 |
| 13.0ms | -3.837533202153036e+99 | -2.5234718928918348e+97 |
| 13.0ms | 176× | 0 | valid |
| 6.0ms | 41× | 0 | invalid |
Compiled 863 to 665 computations (22.9% saved)
ival-mult: 8.0ms (57.7% of total)ival-div: 1.0ms (7.2% of total)ival-add: 1.0ms (7.2% of total)ival-sub: 1.0ms (7.2% of total)ival-sqrt: 1.0ms (7.2% of total)ival-neg: 1.0ms (7.2% 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 |
|---|---|---|
| 14.0ms | 3.2882908026826565e-88 | 9.810859676245114e-88 |
| 1.0ms | -3.837533202153036e+99 | -2.5234718928918348e+97 |
| 3.0ms | 44× | 0 | valid |
| 3.0ms | 25× | 1 | valid |
| 2.0ms | 26× | 0 | invalid |
| 2.0ms | 11× | 2 | valid |
Compiled 485 to 399 computations (17.7% saved)
ival-mult: 3.0ms (39.7% of total)ival-div: 1.0ms (13.2% of total)adjust: 1.0ms (13.2% of total)ival-sub: 1.0ms (13.2% of total)ival-sqrt: 1.0ms (13.2% of total)ival-add: 1.0ms (13.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.2882908026826565e-88 | 9.810859676245114e-88 |
| 22.0ms | -4.4053871379997784e-110 | -1.1193238801344597e-118 |
| 13.0ms | 144× | 0 | valid |
| 3.0ms | 35× | 0 | invalid |
Compiled 677 to 547 computations (19.2% saved)
ival-mult: 6.0ms (55.5% of total)ival-div: 1.0ms (9.3% of total)ival-add: 1.0ms (9.3% of total)ival-sub: 1.0ms (9.3% of total)ival-sqrt: 1.0ms (9.3% of total)ival-neg: 1.0ms (9.3% 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 | 3.2882908026826565e-88 | 9.810859676245114e-88 |
| 1.0ms | -4.4053871379997784e-110 | -1.1193238801344597e-118 |
Compiled 663 to 533 computations (19.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -9.813509064744756e-309 | 6.012701869177969e-308 |
Compiled 302 to 242 computations (19.9% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -9.813509064744756e-309 | 6.012701869177969e-308 |
Compiled 284 to 236 computations (16.9% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 31.0ms | 7.97903514525859e+74 | 5.434181669785391e+82 |
| 12.0ms | 50× | 2 | valid |
| 7.0ms | 50× | 1 | valid |
| 3.0ms | 13× | 3 | valid |
| 2.0ms | 31× | 0 | valid |
| 1.0ms | 9× | 0 | invalid |
Compiled 506 to 398 computations (21.3% saved)
ival-mult: 7.0ms (36.3% of total)adjust: 3.0ms (15.5% of total)ival-sqrt: 3.0ms (15.5% of total)ival-div: 2.0ms (10.4% of total)ival-sub: 2.0ms (10.4% of total)ival-add: 2.0ms (10.4% of total)ival-neg: 1.0ms (5.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 103 | 662 |
| 1 | 161 | 626 |
| 2 | 294 | 619 |
| 3 | 649 | 619 |
| 4 | 3133 | 615 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 b #s(literal -39999999999999997204797387705217589138693326005559073970463587446588919331323655615047854347577017870308912136192 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.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)) (if (<=.f64 b #s(literal 35000000000000000116554735887408976902177771021381659611048652787366740109193837227780997240233981592080091355396152670891428383098404864 binary64)) (/.f64 #s(approx (* (/ 1/2 a) (- (+ (* -4 (* c a)) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c 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 -799999999999999998152296196114966405572900383939230711364454911728780692385037411823295459829481472 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 151801689980483/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) (if (<=.f64 b #s(literal 35000000000000000116554735887408976902177771021381659611048652787366740109193837227780997240233981592080091355396152670891428383098404864 binary64)) (/.f64 #s(approx (* (/ 1/2 a) (- (+ (* -4 (* c a)) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c 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 -799999999999999998152296196114966405572900383939230711364454911728780692385037411823295459829481472 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 8242260651214319/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c 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 -6092291808370931/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 8242260651214319/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.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 -6092291808370931/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 8242260651214319/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 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 -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 799999999999999961318550494422337583081568726424106841337654558109200285696 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)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a))) |
| Outputs |
|---|
(if (<=.f64 b #s(literal -39999999999999997204797387705217589138693326005559073970463587446588919331323655615047854347577017870308912136192 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.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)) (if (<=.f64 b #s(literal 35000000000000000116554735887408976902177771021381659611048652787366740109193837227780997240233981592080091355396152670891428383098404864 binary64)) (/.f64 #s(approx (* (/ 1/2 a) (- (+ (* -4 (* c a)) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c 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 -799999999999999998152296196114966405572900383939230711364454911728780692385037411823295459829481472 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 151801689980483/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) (if (<=.f64 b #s(literal 35000000000000000116554735887408976902177771021381659611048652787366740109193837227780997240233981592080091355396152670891428383098404864 binary64)) (/.f64 #s(approx (* (/ 1/2 a) (- (+ (* -4 (* c a)) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c 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 -799999999999999998152296196114966405572900383939230711364454911728780692385037411823295459829481472 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 8242260651214319/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c 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 -6092291808370931/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 8242260651214319/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.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 -6092291808370931/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 8242260651214319/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 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 -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 799999999999999961318550494422337583081568726424106841337654558109200285696 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)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (neg c) (/ -1 b)) (/ b a)) (/.f64 b a))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 869 | 4291 |
| 1 | 2870 | 4162 |
| 0 | 8932 | 3988 |
| 0 | 48 | 215 |
| 0 | 70 | 212 |
| 1 | 317 | 202 |
| 2 | 2323 | 202 |
| 0 | 8362 | 198 |
| 0 | 14 | 51 |
| 0 | 23 | 51 |
| 1 | 77 | 49 |
| 2 | 534 | 48 |
| 3 | 6896 | 48 |
| 0 | 8189 | 44 |
| 0 | 43 | 260 |
| 0 | 69 | 254 |
| 1 | 297 | 252 |
| 2 | 2363 | 244 |
| 0 | 8966 | 244 |
| 0 | 1170 | 6300 |
| 1 | 3941 | 6095 |
| 0 | 8153 | 5845 |
| 0 | 545 | 2858 |
| 1 | 1738 | 2817 |
| 2 | 6121 | 2789 |
| 0 | 8386 | 2654 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 360 to 571 computations (58% saved)
Compiled 1 568 to 298 computations (81% saved)
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