
Time bar (total: 8.0s)
| 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)
| 564.0ms | 5 529× | 0 | valid |
| 318.0ms | 1 219× | 2 | valid |
| 272.0ms | 1 327× | 1 | valid |
| 145.0ms | 961× | 0 | invalid |
| 45.0ms | 181× | 3 | valid |
ival-mult: 272.0ms (27.4% of total)ival-sub: 174.0ms (17.5% of total)ival-sqrt: 173.0ms (17.4% of total)ival-add: 115.0ms (11.6% of total)ival-div: 93.0ms (9.4% of total)adjust: 79.0ms (8% of total)ival-neg: 68.0ms (6.8% of total)exact: 9.0ms (0.9% of total)ival-true: 7.0ms (0.7% of total)ival-assert: 4.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 99 | 0 | - | 3 | (-2.0154517128898078e-206 3.2330271497095827e-268 1.2162681853513777e-112) | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| 61 | 0 | - | 0 | - | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| 17 | 0 | - | 2 | (1.94378932393894e-66 2.3578873819444483e-10 1.717884028072727e-261) | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| 1 | 0 | - | 0 | - | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 4 binary64) a) c) |
| 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 | - | (*.f64 #s(literal 4 binary64) a) |
| 0 | 0 | - | 0 | - | b |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) | oflow-rescue | 91 | 0 |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | overflow | 91 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | overflow | 21 | |
| ↳ | (*.f64 b b) | overflow | 73 | |
+.f64 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | cancellation | 61 | 0 |
/.f64 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) | u/n | 15 | 0 |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | underflow | 5 | |
| ↳ | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | underflow | 26 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | underflow | 26 | |
| ↳ | (*.f64 b b) | underflow | 45 | |
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) | uflow-rescue | 5 | 0 |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | underflow | 5 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | underflow | 26 | |
| ↳ | (*.f64 b b) | underflow | 45 | |
-.f64 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | nan-rescue | 1 | 0 |
| ↳ | (*.f64 b b) | overflow | 73 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | overflow | 21 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 122 | 2 |
| - | 16 | 116 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 122 | 0 | 2 |
| - | 16 | 0 | 116 |
| number | freq |
|---|---|
| 0 | 118 |
| 1 | 104 |
| 2 | 33 |
| 3 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 49.0ms | 340× | 0 | valid |
| 24.0ms | 104× | 2 | valid |
| 10.0ms | 62× | 1 | valid |
| 2.0ms | 6× | 3 | valid |
Compiled 161 to 46 computations (71.4% saved)
ival-mult: 15.0ms (32.2% of total)ival-sqrt: 9.0ms (19.3% of total)ival-div: 6.0ms (12.9% of total)adjust: 5.0ms (10.7% of total)ival-sub: 4.0ms (8.6% of total)ival-add: 4.0ms (8.6% of total)ival-neg: 2.0ms (4.3% of total)exact: 1.0ms (2.1% 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 | 54 | 158 |
| 1 | 162 | 144 |
| 2 | 463 | 144 |
| 3 | 1244 | 144 |
| 4 | 3263 | 144 |
| 5 | 6182 | 144 |
| 0 | 14 | 17 |
| 0 | 23 | 17 |
| 1 | 40 | 16 |
| 2 | 77 | 16 |
| 3 | 160 | 16 |
| 4 | 240 | 16 |
| 5 | 381 | 16 |
| 6 | 665 | 16 |
| 7 | 1142 | 16 |
| 8 | 2316 | 16 |
| 9 | 2622 | 16 |
| 10 | 2737 | 16 |
| 11 | 2792 | 16 |
| 12 | 2793 | 16 |
| 13 | 2793 | 16 |
| 14 | 2799 | 16 |
| 0 | 2799 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
Compiled 17 to 14 computations (17.6% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 53.9% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) 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 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 1 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | |
| cost-diff | 1 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 70 |
| 0 | 23 | 70 |
| 1 | 40 | 68 |
| 2 | 77 | 68 |
| 3 | 160 | 68 |
| 4 | 240 | 68 |
| 5 | 381 | 68 |
| 6 | 665 | 68 |
| 7 | 1142 | 68 |
| 8 | 2316 | 68 |
| 9 | 2622 | 68 |
| 10 | 2737 | 68 |
| 11 | 2792 | 68 |
| 12 | 2793 | 68 |
| 13 | 2793 | 68 |
| 14 | 2799 | 68 |
| 0 | 2799 | 64 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
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 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 c (*.f64 a #s(literal 4 binary64))) |
(*.f64 #s(literal 4 binary64) a) |
(*.f64 a #s(literal 4 binary64)) |
#s(literal 4 binary64) |
a |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.20312500000000003 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | |
| accuracy | 3.818242788499166 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 14.02971351789294 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | |
| accuracy | 22.72622239278109 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| 30.0ms | 31× | 1 | valid |
| 16.0ms | 170× | 0 | valid |
| 12.0ms | 52× | 2 | valid |
| 1.0ms | 3× | 3 | valid |
Compiled 72 to 16 computations (77.8% saved)
ival-mult: 21.0ms (45.5% of total)ival-sqrt: 14.0ms (30.3% of total)adjust: 3.0ms (6.5% of total)ival-div: 3.0ms (6.5% of total)ival-sub: 2.0ms (4.3% of total)ival-add: 2.0ms (4.3% of total)ival-neg: 1.0ms (2.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) 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 | |
|---|---|---|---|---|
| 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 | 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)))) |
| 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)))) |
| 2.0ms | 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)))) |
| 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 | 76 | 49 |
| 2 | 536 | 48 |
| 3 | 6892 | 48 |
| 0 | 8186 | 44 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) 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 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) 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 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) 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 (*.f64 #s(literal -4 binary64) 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 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (pow.f64 b #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) (fma.f64 b b (fma.f64 c (*.f64 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 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) |
(*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) 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 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))))))) |
(*.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) 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 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) 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 (*.f64 #s(literal -4 binary64) 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 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) 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 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 2 binary64))) (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64))) (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3 binary64))) (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64))) (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) 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 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 9/2 binary64)) (pow.f64 b #s(literal 9 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (*.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))) (fma.f64 b (/.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (/.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (fma.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (*.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (/.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) 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 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) 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 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) |
(/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) 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 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) 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 (*.f64 #s(literal -4 binary64) 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 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) 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 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) 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 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b)) |
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(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) 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 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) 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 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))))) (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) 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 (*.f64 #s(literal -4 binary64) 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 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) 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 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1/2 binary64) a)))) |
(neg.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) 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 (*.f64 #s(literal -4 binary64) 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 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) 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 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))) |
(-.f64 (/.f64 (*.f64 b b) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))) |
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b 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 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1/2 binary64) a))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) 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 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1/2 binary64) a))) |
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1/2 binary64) a))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) 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 (*.f64 #s(literal -4 binary64) 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 (*.f64 #s(literal -4 binary64) 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 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(*.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) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64))) |
(+.f64 #s(literal 0 binary64) b) |
(+.f64 b #s(literal 0 binary64)) |
b |
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) 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 c (*.f64 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 c (*.f64 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 c (*.f64 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 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 #s(literal -4 binary64) 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 c (*.f64 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 c (*.f64 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 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 0 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 0 binary64))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) #s(literal 0 binary64)) (+.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) 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 c (*.f64 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 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 #s(literal -4 binary64) 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 c (*.f64 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 c (*.f64 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 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 #s(literal -4 binary64) c) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 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 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 #s(literal -4 binary64) 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 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) 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 c (*.f64 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 c (*.f64 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 c (*.f64 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 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 #s(literal -4 binary64) 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 c (*.f64 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 c (*.f64 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 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(fabs.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(+.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 0 binary64)) |
Compiled 18 940 to 2 148 computations (88.7% saved)
19 alts after pruning (19 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 514 | 19 | 533 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 515 | 19 | 534 |
| Status | Accuracy | Program |
|---|---|---|
| 28.2% | (/.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) | |
| 34.7% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) a) (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) | |
| ▶ | 53.9% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) |
| ▶ | 46.5% | (/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) |
| 52.6% | (/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a)) | |
| 46.6% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal -1 binary64)))))) (*.f64 #s(literal 2 binary64) a)) | |
| 23.5% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) | |
| 38.4% | (/.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)) | |
| 10.9% | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b))) (*.f64 #s(literal 2 binary64) a)) | |
| 34.7% | (/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) | |
| 27.2% | (/.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)) | |
| 30.8% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)))) | |
| 53.8% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) | |
| 24.4% | (*.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))) | |
| 53.8% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) | |
| ▶ | 28.1% | #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))) |
| 35.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) | |
| ▶ | 28.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
| ▶ | 34.8% | #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 932 to 630 computations (32.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 1 | (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.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 | 4 | (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 | (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) | |
| cost-diff | 0 | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 321 |
| 0 | 61 | 321 |
| 1 | 112 | 313 |
| 2 | 212 | 309 |
| 3 | 398 | 305 |
| 4 | 820 | 305 |
| 5 | 2544 | 305 |
| 6 | 5306 | 305 |
| 7 | 7814 | 305 |
| 0 | 8043 | 305 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
c |
a |
(*.f64 b b) |
b |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
(/.f64 (neg.f64 b) a) |
(neg.f64 b) |
b |
a |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (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 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(neg.f64 b) |
b |
(/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
c |
a |
(*.f64 b b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
(*.f64 c #s(literal -4 binary64)) |
#s(literal -4 binary64) |
c |
a |
(*.f64 b b) |
b |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.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 (neg.f64 c) b) b) a #s(literal -1 binary64)) b) c)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)) |
(*.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (neg.f64 c) b) b) a #s(literal -1 binary64)) b) 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) |
(*.f64 a c) |
a |
(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) a)) |
(+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(-.f64 (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) b) |
(neg.f64 b) |
b |
(/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
(*.f64 c #s(literal -4 binary64)) |
#s(literal -4 binary64) |
c |
a |
(*.f64 b b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.818242788499166 | (/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 14.02971351789294 | (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) | |
| accuracy | 22.72622239278109 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) | |
| accuracy | 22.866847401361213 | (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) | |
| accuracy | 0.0703125 | (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) | |
| accuracy | 0.5025823708781832 | (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b) | |
| accuracy | 3.1949076351353516 | (/.f64 (*.f64 c a) b) | |
| accuracy | 41.23506037921141 | #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 | 0.125 | (/.f64 (/.f64 c b) b) | |
| accuracy | 5.933492188433161 | (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)) | |
| accuracy | 45.94587099254441 | #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 | 45.788651722093235 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) | |
| accuracy | 0.00390625 | (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) | |
| accuracy | 3.818242788499166 | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 14.02971351789294 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) | |
| accuracy | 22.72622239278109 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
| 52.0ms | 170× | 0 | valid |
| 33.0ms | 52× | 2 | valid |
| 13.0ms | 31× | 1 | valid |
| 2.0ms | 3× | 3 | valid |
Compiled 308 to 37 computations (88% saved)
ival-div: 22.0ms (30.7% of total)ival-add: 15.0ms (20.9% of total)ival-mult: 13.0ms (18.1% of total)adjust: 7.0ms (9.8% of total)ival-sqrt: 6.0ms (8.4% of total)ival-sub: 5.0ms (7% of total)ival-neg: 2.0ms (2.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
#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) |
(+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(/.f64 (*.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))))))) |
(* -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)))))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -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))) |
(/ (* a c) b) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) 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)))) |
(* -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 (* 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)))))) |
(+ (* 1/2 (* (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))))))))) |
(* -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 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))))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* 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) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (/ (- (/ (* a (pow c 2)) (pow b 2)) (* -1 c)) b)) |
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (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)))))))) |
(* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) |
(* c (+ 1 (/ (* a c) (pow b 2)))) |
(* 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 (+ (* -4 a) (/ (pow b 2) 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)))) |
(* -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 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | a | @ | inf | ((/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (+ (* (* -4 c) a) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (neg b) (+ (* (/ (/ 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) (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b)))) (/ (* c a) b)) |
| 7.0ms | c | @ | -inf | ((/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (+ (* (* -4 c) a) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (neg b) (+ (* (/ (/ 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) (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b)))) (/ (* c a) b)) |
| 6.0ms | b | @ | -inf | ((/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (+ (* (* -4 c) a) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (neg b) (+ (* (/ (/ 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) (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b)))) (/ (* c a) b)) |
| 4.0ms | c | @ | inf | ((/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (+ (* (* -4 c) a) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (neg b) (+ (* (/ (/ 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) (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b)))) (/ (* c a) b)) |
| 3.0ms | b | @ | 0 | ((/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (+ (* (* -4 c) a) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (neg b) (+ (* (/ (/ 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) (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b)))) (/ (* c a) b)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 606 | 3240 |
| 1 | 1955 | 3199 |
| 2 | 6561 | 3129 |
| 0 | 8115 | 2983 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -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))) |
(/ (* a c) b) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) 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)))) |
(* -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 (* 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)))))) |
(+ (* 1/2 (* (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))))))))) |
(* -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 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))))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* 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) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (/ (- (/ (* a (pow c 2)) (pow b 2)) (* -1 c)) b)) |
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (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)))))))) |
(* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) |
(* c (+ 1 (/ (* a c) (pow b 2)))) |
(* 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 (+ (* -4 a) (/ (pow b 2) 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)))) |
(* -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 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
| Outputs |
|---|
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(*.f64 (neg.f64 c) (fma.f64 c (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) 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 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)) |
(* -2 (/ (* a c) b)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 (fma.f64 c (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c)) |
(* 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 c c) #s(literal -2 binary64)) (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 (*.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 c c) #s(literal -2 binary64)) (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 a #s(literal -2 binary64)) (*.f64 (fma.f64 c (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c) 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 c c) #s(literal -2 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a b) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) |
(* -1 (/ b a)) |
(/.f64 (neg.f64 b) a) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a) |
(- (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b)) |
(*.f64 (neg.f64 c) (fma.f64 c (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b))) |
(/ c b) |
(/.f64 c b) |
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3))) |
(*.f64 (fma.f64 c (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c) |
c |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) c c) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(* 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 b (/.f64 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 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 b (/.f64 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 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a)) a) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(*.f64 (fma.f64 (*.f64 (*.f64 b (/.f64 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 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 b (/.f64 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 b (/.f64 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 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 b (/.f64 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)))))) |
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(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64) #s(literal 2 binary64))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(*.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (*.f64 a (fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 4 binary64))) (/.f64 (/.f64 c b) b))) #s(literal 2 binary64))) |
(* -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)))))))) |
(*.f64 (neg.f64 b) (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -2 binary64) (*.f64 a (fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 4 binary64))) (/.f64 (/.f64 c b) b))) #s(literal 2 binary64)))) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64) #s(literal 1 binary64))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(*.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (*.f64 a (fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 4 binary64))) (/.f64 (/.f64 c b) b))) #s(literal 1 binary64))) |
(* -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)))))))) |
(*.f64 (neg.f64 b) (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -2 binary64) (*.f64 a (fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 4 binary64))) (/.f64 (/.f64 c b) b))) #s(literal 1 binary64)))) |
(* -1 (/ (- (/ (* a (pow c 2)) (pow b 2)) (* -1 c)) b)) |
(*.f64 (neg.f64 c) (fma.f64 c (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b))) |
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)) |
(*.f64 (fma.f64 c (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(*.f64 (neg.f64 c) (fma.f64 c (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c) |
(* 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))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 c a)) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(*.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 c (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -2 binary64))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c) |
(* 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)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -4 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -2 binary64))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 c (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b)) b) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -2 binary64))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c b) |
(* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) |
(*.f64 (fma.f64 c (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c) |
(* c (+ 1 (/ (* a c) (pow b 2)))) |
(fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) c c) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64))) c) |
(* 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)))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64)))) c) |
(* 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))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64))))) c) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b (neg.f64 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 b (/.f64 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 (neg.f64 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 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -4 binary64)) (sqrt.f64 #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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 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 (neg.f64 c))))) c) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) 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))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -4 binary64)) (sqrt.f64 #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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 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 (+ (* -1/8 (* (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)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -4 binary64)) (sqrt.f64 #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 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 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))))) c) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(*.f64 (fma.f64 #s(literal -4 binary64) a (*.f64 b (/.f64 b c))) c) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 b a) c)) c) |
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))) |
(*.f64 (*.f64 (neg.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)))) |
(fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) c c) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) c) (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.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 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 b b)) (*.f64 #s(literal -1/128 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c))) (pow.f64 b #s(literal 4 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 a c))) (*.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 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (pow.f64 b #s(literal 4 binary64)))))) 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 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c))))) (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 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c)))))) (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 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 1/512 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 binary64))))) (pow.f64 b #s(literal 6 binary64)) (*.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64))))) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c)))))) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 (fma.f64 #s(literal -4 binary64) a (*.f64 b (/.f64 b c))) c) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 b a) c)) c) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 254 |
| 0 | 61 | 225 |
| 1 | 250 | 219 |
| 2 | 2181 | 211 |
| 0 | 8381 | 211 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
#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) |
(+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(/.f64 (*.f64 c a) b) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b))) #s(literal -1 binary64)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #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 a (*.f64 c #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 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 b b (neg.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) #s(literal -1 binary64)) (pow.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) #s(literal 1/2 binary64)) (pow.f64 a #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #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 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b)) |
(*.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b))) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b)) (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (/.f64 #s(literal 1/2 binary64) a)) |
(pow.f64 (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #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 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a) a) (*.f64 #s(literal 2 binary64) (/.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 b a))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a) (/.f64 (*.f64 #s(literal 2 binary64) a) b)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) b))) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a) (*.f64 #s(literal -2 binary64) a)) (*.f64 #s(literal 2 binary64) (neg.f64 b))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a) (*.f64 #s(literal 2 binary64) a)) (*.f64 #s(literal 2 binary64) b)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 2 binary64)) a) (*.f64 a (/.f64 b #s(literal 2 binary64)))) (*.f64 a a)) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 a (/.f64 b a))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 (*.f64 #s(literal 2 binary64) a) b))) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) a)) (*.f64 a (neg.f64 b))) (*.f64 a (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 a b)) (*.f64 a (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (/.f64 b #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) a)) |
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (/.f64 b a))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (/.f64 (*.f64 #s(literal 2 binary64) a) b))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) a)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (neg.f64 b))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) a) (*.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 b #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) a) a)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 b a))) (*.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (/.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (*.f64 #s(literal 2 binary64) a) b))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) (*.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 b))) (*.f64 (*.f64 #s(literal -2 binary64) a) (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (*.f64 (*.f64 #s(literal -2 binary64) a) b)) (*.f64 (*.f64 #s(literal -2 binary64) a) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a) (*.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 b #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) a) a)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 b a))) (*.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (/.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 (*.f64 #s(literal 2 binary64) a) b))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a)) (*.f64 (*.f64 #s(literal 2 binary64) a) (neg.f64 b))) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a) (/.f64 b a)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (neg.f64 b)) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) a) #s(literal 2 binary64)) |
(/.f64 (*.f64 (fma.f64 b b (neg.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) |
(/.f64 (*.f64 (-.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) a)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) a)) (fma.f64 b b (+.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b)))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64)) (pow.f64 (/.f64 b (*.f64 #s(literal 2 binary64) a)) #s(literal 2 binary64))) (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a) (/.f64 b (*.f64 #s(literal 2 binary64) a)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (*.f64 #s(literal 2 binary64) a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 b (*.f64 #s(literal 2 binary64) a)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) #s(literal 1/2 binary64))) (neg.f64 a)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b))) (neg.f64 (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (*.f64 (fma.f64 b b (neg.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 1 binary64)) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (*.f64 (-.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 b b (+.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b))) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (*.f64 (*.f64 #s(literal 2 binary64) a) b)) (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) #s(literal 1/2 binary64)) a) |
(/.f64 (-.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b))) |
(/.f64 (fma.f64 b b (neg.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 b b (+.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b))))) |
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a))) |
(neg.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))) |
(fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (/.f64 b (*.f64 #s(literal 2 binary64) a)))) |
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(fma.f64 (*.f64 c #s(literal 1 binary64)) (pow.f64 b #s(literal -1 binary64)) (neg.f64 (/.f64 (neg.f64 b) a))) |
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(fma.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 b) (/.f64 c b)) |
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(fma.f64 (pow.f64 b #s(literal -1 binary64)) (pow.f64 (pow.f64 c #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 b a)) |
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(-.f64 (/.f64 c b) (/.f64 b a)) |
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#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
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(+.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (neg.f64 (/.f64 b (*.f64 #s(literal 2 binary64) a)))) |
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (-.f64 (pow.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 (neg.f64 b) b)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) b) b))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 (neg.f64 b) b)) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 (pow.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 (neg.f64 b) b)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b)) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) b) b))) #s(literal -1 binary64)))) |
(*.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) b) b))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal -1/2 binary64)) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) |
(*.f64 (neg.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal -1/2 binary64))) |
(pow.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 (neg.f64 b) b))))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) b) b)))))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) #s(literal 2 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal -1/2 binary64))) (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 (neg.f64 b) b))) |
(/.f64 (*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal -1/2 binary64))) (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) b) b)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 (neg.f64 b) b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) b) b))) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) |
(/.f64 (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 (neg.f64 b) b)))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b)))) |
(/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) b) b))))) |
(/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) b) b))))) |
(/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 (neg.f64 b) b)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 (neg.f64 b) b)) (-.f64 (pow.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) b) b))) (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal -1/2 binary64))) |
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) b) b))))) |
(/.f64 (neg.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) |
(/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) |
(neg.f64 (/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) |
(fabs.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) |
(*.f64 (/.f64 a b) c) |
(*.f64 (pow.f64 b #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 a c) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 b #s(literal -1 binary64)) (*.f64 a c)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a c) b)) |
(*.f64 (*.f64 (neg.f64 a) c) (pow.f64 (neg.f64 b) #s(literal -1 binary64))) |
(*.f64 (*.f64 a c) (pow.f64 b #s(literal -1 binary64))) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(pow.f64 (/.f64 (/.f64 b (*.f64 a c)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 b (*.f64 a c)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 (neg.f64 a) c) #s(literal -1 binary64)) b) |
(/.f64 (neg.f64 (*.f64 (neg.f64 a) c)) b) |
(/.f64 (*.f64 (*.f64 a c) #s(literal 1 binary64)) b) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (*.f64 a c)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (*.f64 a c)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 a c))) |
(/.f64 (*.f64 (neg.f64 a) c) (neg.f64 b)) |
(/.f64 (*.f64 a c) b) |
(neg.f64 (/.f64 (*.f64 (neg.f64 a) c) b)) |
(neg.f64 (/.f64 (*.f64 a c) (neg.f64 b))) |
(exp.f64 (*.f64 (log.f64 (/.f64 b (*.f64 a c))) #s(literal -1 binary64))) |
Compiled 48 138 to 4 864 computations (89.9% saved)
24 alts after pruning (22 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 246 | 16 | 1 262 |
| Fresh | 8 | 6 | 14 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 257 | 24 | 1 281 |
| Status | Accuracy | Program |
|---|---|---|
| 28.2% | (/.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) | |
| 46.5% | (/.f64 (-.f64 (/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 33.5% | (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 a b)) (*.f64 a (*.f64 #s(literal 2 binary64) a))) |
| ✓ | 53.9% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) |
| 37.6% | (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))) b) (*.f64 #s(literal 2 binary64) a)) | |
| 38.4% | (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b) (*.f64 #s(literal 2 binary64) a)) | |
| 36.1% | (/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) (*.f64 #s(literal 2 binary64) a)) | |
| 42.1% | (/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)) | |
| 34.7% | (/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) | |
| 27.2% | (/.f64 #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) | |
| 30.8% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)))) | |
| ▶ | 53.8% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
| 24.4% | (*.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))) | |
| ▶ | 53.8% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
| ▶ | 35.9% | #s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 (neg.f64 c) b)) |
| 2.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 c (*.f64 b b)) 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)) a (*.f64 b b)) (*.f64 b a))) | |
| 34.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 a c) (/.f64 c (*.f64 b b)) c) (neg.f64 b))) | |
| ▶ | 20.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a)) |
| ✓ | 28.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
| 28.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b))) | |
| 28.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) | |
| 16.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (exp.f64 (*.f64 (log.f64 (/.f64 b (fma.f64 (*.f64 a c) (/.f64 c (*.f64 b b)) c))) #s(literal -1 binary64))))) | |
| 28.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a))) |
Compiled 1 217 to 831 computations (31.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 2 binary64)) | |
| cost-diff | 2 | (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 a b)) | |
| cost-diff | 4 | (*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 4 | (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 a b)) (*.f64 a (*.f64 #s(literal 2 binary64) a))) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) | |
| cost-diff | 0 | (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a)) | |
| cost-diff | 1 | (-.f64 #s(literal 0 binary64) (*.f64 b b)) | |
| cost-diff | 2 | (+.f64 #s(literal 0 binary64) b) | |
| cost-diff | 4 | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) | |
| cost-diff | 0 | (neg.f64 c) | |
| cost-diff | 0 | (/.f64 (neg.f64 c) b) | |
| cost-diff | 0 | #s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 (neg.f64 c) b)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.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 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 324 |
| 0 | 79 | 302 |
| 1 | 151 | 298 |
| 2 | 357 | 282 |
| 3 | 1013 | 278 |
| 4 | 2770 | 278 |
| 5 | 5150 | 278 |
| 0 | 8100 | 278 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
c |
(*.f64 b b) |
b |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.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)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a)) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) |
(-.f64 #s(literal 0 binary64) (*.f64 b b)) |
#s(literal 0 binary64) |
(*.f64 b b) |
b |
(+.f64 #s(literal 0 binary64) b) |
a |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
#s(literal 1/2 binary64) |
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
a |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
c |
(*.f64 b b) |
b |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 a b)) (*.f64 a (*.f64 #s(literal 2 binary64) a))) |
(-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 a b)) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 2 binary64)) |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
a |
(*.f64 c #s(literal -4 binary64)) |
c |
#s(literal -4 binary64) |
(*.f64 b b) |
b |
#s(literal 2 binary64) |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a b) |
(*.f64 a (*.f64 #s(literal 2 binary64) a)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (/.f64 #s(literal 1/2 binary64) a)) |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
(*.f64 c #s(literal -4 binary64)) |
#s(literal -4 binary64) |
c |
(*.f64 b b) |
b |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.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)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a) |
(/.f64 (neg.f64 b) a) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) |
(neg.f64 b) |
(-.f64 #s(literal 0 binary64) (*.f64 b b)) |
(*.f64 (neg.f64 b) b) |
#s(literal 0 binary64) |
(*.f64 b b) |
b |
(+.f64 #s(literal 0 binary64) b) |
b |
a |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (/.f64 #s(literal 1/2 binary64) a)) |
#s(literal 1/2 binary64) |
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) |
a |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
(*.f64 c #s(literal -4 binary64)) |
#s(literal -4 binary64) |
c |
(*.f64 b b) |
b |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 a b)) (*.f64 a (*.f64 #s(literal 2 binary64) a))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (/.f64 #s(literal 1/2 binary64) a)) |
(-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 a b)) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) a) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) a) |
(/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 2 binary64)) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 1/2 binary64)) |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) |
a |
(*.f64 c #s(literal -4 binary64)) |
c |
#s(literal -4 binary64) |
(*.f64 b b) |
b |
#s(literal 2 binary64) |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a b) |
(*.f64 b a) |
(*.f64 a (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (*.f64 #s(literal 2 binary64) a) a) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.07421875 | (*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 11.073863738837932 | (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 a b)) | |
| accuracy | 22.72622239278109 | (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) | |
| accuracy | 29.646511105580277 | (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 a b)) (*.f64 a (*.f64 #s(literal 2 binary64) a))) | |
| accuracy | 0.21875 | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) | |
| accuracy | 3.7955177908933586 | (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) | |
| accuracy | 14.02971351789294 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) | |
| accuracy | 22.72622239278109 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) | |
| accuracy | 0.0 | (+.f64 #s(literal 0 binary64) b) | |
| accuracy | 0.0 | (*.f64 b b) | |
| accuracy | 27.83989459917651 | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) | |
| accuracy | 45.788651722093235 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a)) | |
| accuracy | 0.0 | (/.f64 (neg.f64 c) b) | |
| accuracy | 0.0 | (neg.f64 c) | |
| accuracy | 41.04923286934692 | #s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 (neg.f64 c) b)) | |
| accuracy | 0.00390625 | (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) | |
| accuracy | 3.888555288508041 | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) | |
| accuracy | 14.02971351789294 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) | |
| accuracy | 22.72622239278109 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
| 53.0ms | 170× | 0 | valid |
| 33.0ms | 43× | 2 | valid |
| 16.0ms | 29× | 1 | valid |
| 13.0ms | 14× | 3 | valid |
Compiled 325 to 45 computations (86.2% saved)
ival-div: 26.0ms (31.6% of total)ival-mult: 20.0ms (24.3% of total)adjust: 9.0ms (10.9% of total)ival-sqrt: 9.0ms (10.9% of total)ival-sub: 8.0ms (9.7% of total)ival-add: 7.0ms (8.5% of total)ival-neg: 2.0ms (2.4% of total)exact: 1.0ms (1.2% 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 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(/.f64 #s(literal 1/2 binary64) a) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 (neg.f64 c) b)) |
(/.f64 (neg.f64 c) b) |
(neg.f64 c) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) |
(+.f64 #s(literal 0 binary64) b) |
(-.f64 #s(literal 0 binary64) (*.f64 b b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 a b)) (*.f64 a (*.f64 #s(literal 2 binary64) a))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 a b)) |
(/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 2 binary64)) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 b b) |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 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 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)))))))) |
(* -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))))) |
(* a b) |
(* a (+ b (* -2 (/ (* a c) b)))) |
(* a (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))) |
(* a (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))) |
(* -2 (/ (* (pow a 2) c) b)) |
(* (pow a 2) (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* (pow a 2) (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* (pow a 2) (+ (* -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)))))))) |
(* 1/2 b) |
(+ (* -1 (/ (* a c) b)) (* 1/2 b)) |
(+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 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 (* 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)))))) |
(* (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 (* (pow a 3) c)) (sqrt -4)) |
(* (pow a 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* (pow a 2) (+ (* -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))))) |
(* (pow a 2) (+ (* -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)))))) |
(* (pow a 2) (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* (pow a 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* (pow a 2) (- (+ (* -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))) |
(* 1/2 (* (sqrt (* a c)) (sqrt -4))) |
(* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(* 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) 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)))))))) |
(* -1/2 (* (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 (* (pow a 3) c)) (sqrt -1))) |
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))))) |
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1))))))) |
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (+ (* -1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))))))) |
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b a)))) |
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* -1 b)) a)))) |
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (+ (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* -1 b)) a)))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(* -1 b) |
(* -1 (pow b 2)) |
(+ (* 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)))) |
(+ (* 1/2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* (pow a 3) c)) (sqrt -4))) |
(+ (* (sqrt (* (pow a 3) c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* (pow a 3) c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(+ (* -1 (* a b)) (* (sqrt (* (pow a 3) c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ a c)) (/ b (sqrt -4)))) a)) (* (sqrt (* (pow a 3) c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))))) a)) (* (sqrt (* (pow a 3) c)) (sqrt -4))) |
(+ (* 1/4 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (* a c)) (sqrt -4)))) |
(+ (* 1/2 (* (sqrt (* a c)) (sqrt -4))) (* (pow b 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* 1/2 (* (sqrt (* a c)) (sqrt -4))) (* (pow b 2) (+ (* 1/4 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(/ (+ (* -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 (- (* 1/2 (/ 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))))))) |
(* b (+ a (* -2 (/ (* (pow a 2) c) (pow b 2))))) |
(* b (+ a (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4)))))) |
(* b (+ a (+ (* -4 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))))))) |
(/ (+ (* -2 (* (pow a 2) c)) (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -2 (* (pow a 2) c)) (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -2 (* (pow a 2) c)) (+ (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* -1/2 (/ (* a (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4))))) (pow b 6)))))) b) |
(* b (+ 1/2 (* -1 (/ (* a c) (pow b 2))))) |
(* b (+ 1/2 (+ (* -1 (/ (* a c) (pow b 2))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1/2 (+ (* -2 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1 (/ (* a c) (pow b 2))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -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)) |
(* -1/2 (/ (* b (- a (* -1 a))) (pow a 2))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (* 1/2 (/ (- a (* -1 a)) (pow a 2)))))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ (- a (* -1 a)) (pow a 2))))))) |
(* -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))) (* 1/2 (/ (- a (* -1 a)) (pow a 2)))))))) |
(* -1 (* a b)) |
(* -1 (* b (+ a (* -2 (/ (* (pow a 2) c) (pow b 2)))))) |
(* -1 (* b (+ a (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ a (+ (* -4 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (- a (* -1 a)))) |
(* -1 (* b (- (+ a (* -2 (/ (* (pow a 2) c) (pow b 2)))) (* -1 a)))) |
(* -1 (* b (- (+ a (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))))) (* -1 a)))) |
(* -1 (* b (- (+ a (+ (* -4 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4)))))) (* -1 a)))) |
(* -1/2 b) |
(* -1 (* b (+ 1/2 (* -1 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1/2 (+ (* -1 (/ (* a c) (pow b 2))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1/2 (+ (* -2 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1 (/ (* a c) (pow b 2))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* -1 c) |
(/ (+ (* -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) |
(+ (* -2 (/ (* (pow a 2) c) b)) (* a b)) |
(+ (* a b) (* c (+ (* -2 (/ (* (pow a 3) c) (pow b 3))) (* -2 (/ (pow a 2) b))))) |
(+ (* a b) (* c (+ (* -2 (/ (pow a 2) b)) (* c (+ (* -4 (/ (* (pow a 4) c) (pow b 5))) (* -2 (/ (pow a 3) (pow b 3)))))))) |
(* c (+ (* -2 (/ (* (pow a 3) c) (pow b 3))) (* -2 (/ (pow a 2) b)))) |
(* c (+ (* -2 (/ (pow a 2) b)) (* c (+ (* -4 (/ (* (pow a 4) c) (pow b 5))) (* -2 (/ (pow a 3) (pow b 3))))))) |
(* c (+ (* -2 (/ (pow a 2) b)) (* c (+ (* -2 (/ (pow a 3) (pow b 3))) (* c (+ (* -4 (/ (pow a 4) (pow b 5))) (* -1/2 (/ (* a (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) b)))))))) |
(+ (* 1/2 b) (* c (+ (* -1 (/ a b)) (* -1 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 1/2 b) (* c (+ (* -1 (/ a b)) (* c (+ (* -2 (/ (* (pow a 3) c) (pow b 5))) (* -1 (/ (pow a 2) (pow b 3)))))))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(/ (+ (* (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 (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ (pow a 3) c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ (pow a 3) c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ (pow a 3) c)) (sqrt -4)))))) |
(* c (+ (* -1 (/ (* a b) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (/ (* a b) c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ (pow a 3) c)) (sqrt -4)))) (/ (* a b) c))) |
(* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ a c)) (sqrt -4)))))) |
(* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ a c)) (sqrt -4))))))) |
(* c (+ (* -4 a) (/ (pow b 2) 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 (/ (+ (* 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 (+ (* 1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (/ (* a b) c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)) c)) (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1))))) c)) (* a b)) c)) (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))) |
(* -1 (* c (+ (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | a | @ | -inf | ((* (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/ (neg c) b) (neg c) (/ (- 0 (* b b)) (+ 0 b)) (+ 0 b) (- 0 (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ (- (* (/ (sqrt (+ (* a (* c -4)) (* b b))) 2) (* 2 a)) (* a b)) (* a (* 2 a))) (* (/ (sqrt (+ (* a (* c -4)) (* b b))) 2) (* 2 a)) (- (* (/ (sqrt (+ (* a (* c -4)) (* b b))) 2) (* 2 a)) (* a b)) (/ (sqrt (+ (* a (* c -4)) (* b b))) 2) (+ (* (* -4 c) a) (* b b)) (* b b) (sqrt (+ (* a (* c -4)) (* b b)))) |
| 5.0ms | b | @ | inf | ((* (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/ (neg c) b) (neg c) (/ (- 0 (* b b)) (+ 0 b)) (+ 0 b) (- 0 (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ (- (* (/ (sqrt (+ (* a (* c -4)) (* b b))) 2) (* 2 a)) (* a b)) (* a (* 2 a))) (* (/ (sqrt (+ (* a (* c -4)) (* b b))) 2) (* 2 a)) (- (* (/ (sqrt (+ (* a (* c -4)) (* b b))) 2) (* 2 a)) (* a b)) (/ (sqrt (+ (* a (* c -4)) (* b b))) 2) (+ (* (* -4 c) a) (* b b)) (* b b) (sqrt (+ (* a (* c -4)) (* b b)))) |
| 4.0ms | c | @ | inf | ((* (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/ (neg c) b) (neg c) (/ (- 0 (* b b)) (+ 0 b)) (+ 0 b) (- 0 (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ (- (* (/ (sqrt (+ (* a (* c -4)) (* b b))) 2) (* 2 a)) (* a b)) (* a (* 2 a))) (* (/ (sqrt (+ (* a (* c -4)) (* b b))) 2) (* 2 a)) (- (* (/ (sqrt (+ (* a (* c -4)) (* b b))) 2) (* 2 a)) (* a b)) (/ (sqrt (+ (* a (* c -4)) (* b b))) 2) (+ (* (* -4 c) a) (* b b)) (* b b) (sqrt (+ (* a (* c -4)) (* b b)))) |
| 4.0ms | c | @ | -inf | ((* (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/ (neg c) b) (neg c) (/ (- 0 (* b b)) (+ 0 b)) (+ 0 b) (- 0 (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ (- (* (/ (sqrt (+ (* a (* c -4)) (* b b))) 2) (* 2 a)) (* a b)) (* a (* 2 a))) (* (/ (sqrt (+ (* a (* c -4)) (* b b))) 2) (* 2 a)) (- (* (/ (sqrt (+ (* a (* c -4)) (* b b))) 2) (* 2 a)) (* a b)) (/ (sqrt (+ (* a (* c -4)) (* b b))) 2) (+ (* (* -4 c) a) (* b b)) (* b b) (sqrt (+ (* a (* c -4)) (* b b)))) |
| 4.0ms | b | @ | 0 | ((* (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/ (neg c) b) (neg c) (/ (- 0 (* b b)) (+ 0 b)) (+ 0 b) (- 0 (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ (- (* (/ (sqrt (+ (* a (* c -4)) (* b b))) 2) (* 2 a)) (* a b)) (* a (* 2 a))) (* (/ (sqrt (+ (* a (* c -4)) (* b b))) 2) (* 2 a)) (- (* (/ (sqrt (+ (* a (* c -4)) (* b b))) 2) (* 2 a)) (* a b)) (/ (sqrt (+ (* a (* c -4)) (* b b))) 2) (+ (* (* -4 c) a) (* b b)) (* b b) (sqrt (+ (* a (* c -4)) (* b b)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1149 | 7184 |
| 1 | 3993 | 7016 |
| 0 | 8374 | 6732 |
| 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)))))))) |
(* -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))))) |
(* a b) |
(* a (+ b (* -2 (/ (* a c) b)))) |
(* a (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))) |
(* a (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))) |
(* -2 (/ (* (pow a 2) c) b)) |
(* (pow a 2) (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* (pow a 2) (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* (pow a 2) (+ (* -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)))))))) |
(* 1/2 b) |
(+ (* -1 (/ (* a c) b)) (* 1/2 b)) |
(+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 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 (* 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)))))) |
(* (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 (* (pow a 3) c)) (sqrt -4)) |
(* (pow a 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* (pow a 2) (+ (* -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))))) |
(* (pow a 2) (+ (* -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)))))) |
(* (pow a 2) (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* (pow a 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* (pow a 2) (- (+ (* -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))) |
(* 1/2 (* (sqrt (* a c)) (sqrt -4))) |
(* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(* 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) 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)))))))) |
(* -1/2 (* (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 (* (pow a 3) c)) (sqrt -1))) |
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))))) |
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1))))))) |
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (+ (* -1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))))))) |
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b a)))) |
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* -1 b)) a)))) |
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (+ (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* -1 b)) a)))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(* -1 b) |
(* -1 (pow b 2)) |
(+ (* 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)))) |
(+ (* 1/2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* (pow a 3) c)) (sqrt -4))) |
(+ (* (sqrt (* (pow a 3) c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* (pow a 3) c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(+ (* -1 (* a b)) (* (sqrt (* (pow a 3) c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ a c)) (/ b (sqrt -4)))) a)) (* (sqrt (* (pow a 3) c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))))) a)) (* (sqrt (* (pow a 3) c)) (sqrt -4))) |
(+ (* 1/4 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (* a c)) (sqrt -4)))) |
(+ (* 1/2 (* (sqrt (* a c)) (sqrt -4))) (* (pow b 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* 1/2 (* (sqrt (* a c)) (sqrt -4))) (* (pow b 2) (+ (* 1/4 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(/ (+ (* -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 (- (* 1/2 (/ 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))))))) |
(* b (+ a (* -2 (/ (* (pow a 2) c) (pow b 2))))) |
(* b (+ a (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4)))))) |
(* b (+ a (+ (* -4 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))))))) |
(/ (+ (* -2 (* (pow a 2) c)) (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -2 (* (pow a 2) c)) (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -2 (* (pow a 2) c)) (+ (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* -1/2 (/ (* a (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4))))) (pow b 6)))))) b) |
(* b (+ 1/2 (* -1 (/ (* a c) (pow b 2))))) |
(* b (+ 1/2 (+ (* -1 (/ (* a c) (pow b 2))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1/2 (+ (* -2 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1 (/ (* a c) (pow b 2))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -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)) |
(* -1/2 (/ (* b (- a (* -1 a))) (pow a 2))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (* 1/2 (/ (- a (* -1 a)) (pow a 2)))))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ (- a (* -1 a)) (pow a 2))))))) |
(* -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))) (* 1/2 (/ (- a (* -1 a)) (pow a 2)))))))) |
(* -1 (* a b)) |
(* -1 (* b (+ a (* -2 (/ (* (pow a 2) c) (pow b 2)))))) |
(* -1 (* b (+ a (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ a (+ (* -4 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (- a (* -1 a)))) |
(* -1 (* b (- (+ a (* -2 (/ (* (pow a 2) c) (pow b 2)))) (* -1 a)))) |
(* -1 (* b (- (+ a (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))))) (* -1 a)))) |
(* -1 (* b (- (+ a (+ (* -4 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4)))))) (* -1 a)))) |
(* -1/2 b) |
(* -1 (* b (+ 1/2 (* -1 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1/2 (+ (* -1 (/ (* a c) (pow b 2))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1/2 (+ (* -2 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1 (/ (* a c) (pow b 2))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* -1 c) |
(/ (+ (* -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) |
(+ (* -2 (/ (* (pow a 2) c) b)) (* a b)) |
(+ (* a b) (* c (+ (* -2 (/ (* (pow a 3) c) (pow b 3))) (* -2 (/ (pow a 2) b))))) |
(+ (* a b) (* c (+ (* -2 (/ (pow a 2) b)) (* c (+ (* -4 (/ (* (pow a 4) c) (pow b 5))) (* -2 (/ (pow a 3) (pow b 3)))))))) |
(* c (+ (* -2 (/ (* (pow a 3) c) (pow b 3))) (* -2 (/ (pow a 2) b)))) |
(* c (+ (* -2 (/ (pow a 2) b)) (* c (+ (* -4 (/ (* (pow a 4) c) (pow b 5))) (* -2 (/ (pow a 3) (pow b 3))))))) |
(* c (+ (* -2 (/ (pow a 2) b)) (* c (+ (* -2 (/ (pow a 3) (pow b 3))) (* c (+ (* -4 (/ (pow a 4) (pow b 5))) (* -1/2 (/ (* a (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) b)))))))) |
(+ (* 1/2 b) (* c (+ (* -1 (/ a b)) (* -1 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 1/2 b) (* c (+ (* -1 (/ a b)) (* c (+ (* -2 (/ (* (pow a 3) c) (pow b 5))) (* -1 (/ (pow a 2) (pow b 3)))))))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(/ (+ (* (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 (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ (pow a 3) c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ (pow a 3) c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ (pow a 3) c)) (sqrt -4)))))) |
(* c (+ (* -1 (/ (* a b) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (/ (* a b) c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ (pow a 3) c)) (sqrt -4)))) (/ (* a b) c))) |
(* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ a c)) (sqrt -4)))))) |
(* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ a c)) (sqrt -4))))))) |
(* c (+ (* -4 a) (/ (pow b 2) 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 (/ (+ (* 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 (+ (* 1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (/ (* a b) c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)) c)) (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1))))) c)) (* a b)) c)) (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))) |
(* -1 (* c (+ (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
| Outputs |
|---|
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(-.f64 (/.f64 (neg.f64 c) b) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64)))) |
(+ (* -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) |
(* -2 (/ (* a c) b)) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a b) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a b) |
(* -1/2 (/ 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))) |
(* a b) |
(*.f64 b a) |
(* a (+ b (* -2 (/ (* a c) b)))) |
(*.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b) a) |
(* a (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))) |
(*.f64 (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) a) |
(* a (+ b (* 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 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a b) a) |
(* -2 (/ (* (pow a 2) c) b)) |
(*.f64 (/.f64 (*.f64 (*.f64 a a) c) b) #s(literal -2 binary64)) |
(* (pow a 2) (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (*.f64 a a) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)))) |
(* (pow a 2) (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (*.f64 a a) (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b)))) |
(* (pow a 2) (+ (* -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 (*.f64 a a) (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)))) |
(* 1/2 b) |
(*.f64 #s(literal 1/2 binary64) b) |
(+ (* -1 (/ (* a c) b)) (* 1/2 b)) |
(fma.f64 (neg.f64 a) (/.f64 c b) (*.f64 #s(literal 1/2 binary64) b)) |
(+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (-.f64 (/.f64 (neg.f64 c) b) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal 1/2 binary64) b)) |
(+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 (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)) a (*.f64 #s(literal 1/2 binary64) b)) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
(* 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 (* 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) |
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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 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/128 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 1/1024 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))) (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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 228 |
| 0 | 79 | 203 |
| 1 | 312 | 191 |
| 2 | 2332 | 188 |
| 0 | 8968 | 187 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(/.f64 #s(literal 1/2 binary64) a) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 (neg.f64 c) b)) |
(/.f64 (neg.f64 c) b) |
(neg.f64 c) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) |
(+.f64 #s(literal 0 binary64) b) |
(-.f64 #s(literal 0 binary64) (*.f64 b b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 a b)) (*.f64 a (*.f64 #s(literal 2 binary64) a))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 a b)) |
(/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 2 binary64)) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 b b) |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) #s(literal -1 binary64)) (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (*.f64 b b))) #s(literal -1 binary64)) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.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 #s(literal -4 binary64)) 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 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) 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 b (-.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) a) (fma.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (*.f64 a (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 1 binary64) b)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) a) (fma.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 b a) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 b a) (*.f64 a (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 1 binary64) b)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 1 binary64)) a) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) |
(*.f64 (/.f64 (*.f64 a (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 1 binary64) b)) a) (/.f64 #s(literal 1/2 binary64) a)) |
(*.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) #s(literal 1/2 binary64)) (pow.f64 a #s(literal -1 binary64))) |
(*.f64 (*.f64 a (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 1 binary64) b)) (/.f64 (/.f64 #s(literal 1/2 binary64) a) a)) |
(*.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.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)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 a (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 1 binary64) b))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (pow.f64 (pow.f64 (*.f64 a (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 1 binary64) b)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (*.f64 a (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 1 binary64) b))) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) a) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (/.f64 #s(literal 1/2 binary64) a))) |
(*.f64 (neg.f64 (*.f64 a (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 1 binary64) b))) (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) #s(literal -1 binary64))) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal -1 binary64))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (/.f64 #s(literal 1/2 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 a (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 1 binary64) b)) a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) a)) |
(pow.f64 (/.f64 (*.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 (*.f64 a (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 1 binary64) b)) a)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.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 #s(literal -4 binary64)) a (*.f64 b b))) b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.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 #s(literal -4 binary64)) a (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) (neg.f64 (neg.f64 a))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))) (neg.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) #s(literal -1/2 binary64))) (neg.f64 (neg.f64 a))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (*.f64 b b)))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (fma.f64 b (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64)) (pow.f64 (*.f64 b (/.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64)))) (neg.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (/.f64 #s(literal 1/2 binary64) a)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64)) (pow.f64 (*.f64 b (/.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 b (/.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 b (/.f64 #s(literal 1/2 binary64) a))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 a))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (*.f64 b b)) #s(literal -1/2 binary64))) (neg.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (neg.f64 a)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (*.f64 b b)) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) a))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) (neg.f64 (*.f64 (fma.f64 b (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (neg.f64 a)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (fma.f64 b (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) a))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (*.f64 b b)))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 b (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (*.f64 b b)))) (neg.f64 (*.f64 (neg.f64 a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (*.f64 (neg.f64 a) (fma.f64 b (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (*.f64 b b)))) (neg.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (*.f64 a (fma.f64 b (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (*.f64 b b)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 b (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)))) |
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(*.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 (*.f64 #s(literal 4 binary64) a) c) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) #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)))) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) b) b))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (pow.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/2 binary64)) |
(/.f64 (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 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) 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 (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b))))) |
(/.f64 (sqrt.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) b) b)))))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) #s(literal 2 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (+.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) b) b))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.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)))) (sqrt.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) b) b))))) |
(/.f64 (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 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) 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)))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 c #s(literal -4 binary64)) a)))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) 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) (sqrt.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.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 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) |
(fabs.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) |
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) |
Compiled 50 274 to 5 072 computations (89.9% saved)
36 alts after pruning (33 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 334 | 19 | 1 353 |
| Fresh | 3 | 14 | 17 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 341 | 36 | 1 377 |
| Status | Accuracy | Program |
|---|---|---|
| 28.2% | (/.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) | |
| ▶ | 46.5% | (/.f64 (-.f64 (/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | 53.9% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) |
| 37.6% | (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))) b) (*.f64 #s(literal 2 binary64) a)) | |
| 38.4% | (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b) (*.f64 #s(literal 2 binary64) a)) | |
| 36.1% | (/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) (*.f64 #s(literal 2 binary64) a)) | |
| 42.1% | (/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)) | |
| 34.7% | (/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) | |
| 24.0% | (/.f64 (*.f64 a (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 1 binary64) b)) (*.f64 (*.f64 #s(literal 2 binary64) a) a)) | |
| 27.2% | (/.f64 #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) | |
| 46.5% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) b))) | |
| ▶ | 38.3% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b))) |
| ▶ | 34.1% | (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) 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))))) |
| 36.2% | (/.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))))) | |
| 24.4% | (*.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))) | |
| 38.3% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b)) | |
| 28.4% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 #s(literal -2 binary64) b))) | |
| 26.8% | #s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (+.f64 #s(literal 0 binary64) c)) b)) | |
| ✓ | 35.9% | #s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 (neg.f64 c) b)) |
| 10.4% | #s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 c b)) | |
| ▶ | 2.7% | #s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 b a)) |
| 35.8% | #s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) | |
| 35.8% | #s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (*.f64 (pow.f64 b #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) c) #s(literal -1 binary64)))) | |
| 10.5% | #s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (*.f64 (/.f64 c (*.f64 b b)) b)) | |
| 5.8% | #s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64)))) | |
| 2.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c #s(literal 1 binary64)) a (*.f64 b b)) (*.f64 b a))) | |
| 34.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 a c) (/.f64 c (*.f64 b b)) c) (neg.f64 b))) | |
| 3.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 b #s(literal 3 binary64)))) (pow.f64 b #s(literal 5 binary64))) (+.f64 #s(literal 0 binary64) b)) a)) | |
| ▶ | 20.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (neg.f64 (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a)) |
| 1.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 b #s(literal -2 binary64))) a)) | |
| ✓ | 28.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
| 2.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (exp.f64 (-.f64 (*.f64 (log.f64 b) #s(literal 3 binary64)) (*.f64 (log.f64 b) #s(literal 2 binary64)))) a)) | |
| 2.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64))) a)) | |
| 28.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b))) | |
| 28.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) | |
| 28.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a))) |
Compiled 1 808 to 1 279 computations (29.3% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (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)) | |
| cost-diff | 0 | #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) 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)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) 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))))) | |
| cost-diff | 1 | (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))) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b) | |
| cost-diff | 0 | (/.f64 a (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b)) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b))) | |
| cost-diff | 0 | (/.f64 (/.f64 (neg.f64 (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (neg.f64 (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a)) | |
| cost-diff | 2 | (+.f64 #s(literal 0 binary64) b) | |
| cost-diff | 4 | (/.f64 (neg.f64 (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) | |
| cost-diff | 0 | (/.f64 b a) | |
| cost-diff | 0 | #s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 b a)) | |
| cost-diff | 0 | (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) | |
| cost-diff | 0 | (/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) | |
| cost-diff | 0 | (-.f64 (/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b) | |
| cost-diff | 0 | (/.f64 (-.f64 (/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b) (*.f64 #s(literal 2 binary64) a)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 414 |
| 0 | 90 | 398 |
| 1 | 158 | 396 |
| 2 | 347 | 384 |
| 3 | 811 | 384 |
| 4 | 1957 | 384 |
| 5 | 5147 | 384 |
| 0 | 8216 | 381 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b) |
(/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
a |
(*.f64 c #s(literal -4 binary64)) |
c |
#s(literal -4 binary64) |
(*.f64 b b) |
b |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 b a)) |
(/.f64 b a) |
b |
a |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (neg.f64 (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a)) |
(/.f64 (/.f64 (neg.f64 (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a) |
(/.f64 (neg.f64 (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) |
(neg.f64 (*.f64 b b)) |
(*.f64 b b) |
b |
(+.f64 #s(literal 0 binary64) b) |
#s(literal 0 binary64) |
a |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b))) |
#s(literal 1/2 binary64) |
(/.f64 a (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b)) |
a |
(-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b) |
(sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) |
#s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
(*.f64 (*.f64 c a) #s(literal -4 binary64)) |
(*.f64 c a) |
c |
#s(literal -4 binary64) |
b |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) 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))))) |
#s(literal 1/2 binary64) |
#s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) 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)))) |
(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))) |
(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)) |
(*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64)) |
(/.f64 c (pow.f64 b #s(literal 3 binary64))) |
c |
(pow.f64 b #s(literal 3 binary64)) |
b |
#s(literal 3 binary64) |
a |
(/.f64 #s(literal 1/2 binary64) b) |
(*.f64 (/.f64 b c) #s(literal -1/2 binary64)) |
(/.f64 b c) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 (/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b) |
(-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b) |
(/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
a |
(*.f64 c #s(literal -4 binary64)) |
(*.f64 #s(literal -4 binary64) c) |
c |
#s(literal -4 binary64) |
(*.f64 b b) |
b |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 b a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b a)) |
(/.f64 b a) |
b |
a |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (neg.f64 (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
(/.f64 (/.f64 (neg.f64 (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a) |
(/.f64 (neg.f64 b) a) |
(/.f64 (neg.f64 (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) |
(neg.f64 b) |
(neg.f64 (*.f64 b b)) |
(*.f64 (neg.f64 b) b) |
(*.f64 b b) |
b |
(+.f64 #s(literal 0 binary64) b) |
b |
#s(literal 0 binary64) |
a |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a))))) |
#s(literal 1/2 binary64) |
(/.f64 a (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b)) |
(/.f64 a (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)) |
a |
(-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b) |
(-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) |
(sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) |
(sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a))) |
#s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
#s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a)) |
(*.f64 (*.f64 c a) #s(literal -4 binary64)) |
(*.f64 (*.f64 #s(literal -4 binary64) c) a) |
(*.f64 c a) |
c |
#s(literal -4 binary64) |
b |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) 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))))) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 (/.f64 a b) b) c #s(literal 1 binary64)) (/.f64 a b) (/.f64 (neg.f64 b) c))))) |
#s(literal 1/2 binary64) |
#s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) 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)))) |
#s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 (/.f64 a b) b) c #s(literal 1 binary64)) (/.f64 a b) (/.f64 (neg.f64 b) c)))) |
(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))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 (/.f64 a b) b) c #s(literal 1 binary64)) (/.f64 a b) (/.f64 (neg.f64 b) c))) |
(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)) |
(*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64)) |
(/.f64 c (pow.f64 b #s(literal 3 binary64))) |
c |
(pow.f64 b #s(literal 3 binary64)) |
b |
#s(literal 3 binary64) |
a |
(/.f64 #s(literal 1/2 binary64) b) |
(*.f64 (/.f64 b c) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 b c)) |
(/.f64 b c) |
#s(literal -1/2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.6601138043118304 | (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))) | |
| accuracy | 2.841482903868538 | (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)) | |
| accuracy | 5.806532751176734 | (/.f64 c (pow.f64 b #s(literal 3 binary64))) | |
| accuracy | 41.17828509030113 | #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) 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)))) | |
| accuracy | 3.7955177908933586 | (/.f64 a (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b)) | |
| accuracy | 14.02971351789294 | (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b) | |
| accuracy | 22.72622239278109 | (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) | |
| accuracy | 36.49598373429288 | #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64))) | |
| accuracy | 0.0 | (*.f64 b b) | |
| accuracy | 0.0 | (neg.f64 (*.f64 b b)) | |
| accuracy | 27.83989459917651 | (/.f64 (neg.f64 (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) | |
| accuracy | 45.788651722093235 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (neg.f64 (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a)) | |
| accuracy | 0.0 | (/.f64 b a) | |
| accuracy | 62.24573861362412 | #s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 b a)) | |
| accuracy | 3.818242788499166 | (/.f64 (-.f64 (/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 14.02971351789294 | (-.f64 (/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b) | |
| accuracy | 22.72622239278109 | (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) | |
| accuracy | 22.866847401361213 | (/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) |
| 153.0ms | 170× | 0 | valid |
| 38.0ms | 49× | 2 | valid |
| 18.0ms | 31× | 1 | valid |
| 6.0ms | 6× | 3 | valid |
Compiled 342 to 53 computations (84.5% saved)
ival-div: 82.0ms (48% of total)ival-mult: 47.0ms (27.5% of total)adjust: 10.0ms (5.9% of total)ival-add: 10.0ms (5.9% of total)ival-sqrt: 9.0ms (5.3% of total)ival-sub: 6.0ms (3.5% of total)ival-pow: 4.0ms (2.3% of total)ival-neg: 2.0ms (1.2% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (-.f64 (/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b) |
(/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 b a)) |
(/.f64 b a) |
(/.f64 (neg.f64 (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) |
(+.f64 #s(literal 0 binary64) b) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (neg.f64 (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a)) |
(/.f64 (/.f64 (neg.f64 (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b))) |
(/.f64 a (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b)) |
(-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b) |
(sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) |
(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))) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) 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))))) |
#s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) 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)))) |
(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)) |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) |
(neg.f64 (*.f64 b b)) |
(*.f64 b b) |
#s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
(/.f64 c (pow.f64 b #s(literal 3 binary64))) |
| Outputs |
|---|
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(/ b a) |
(* -1 (/ b a)) |
(* -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))))) |
(+ (* -1/2 (/ b c)) (* a (+ (* 1/2 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))) |
(/ 1/2 b) |
(+ (* 1/2 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* (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))))))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 3))) |
(* (pow a 2) (+ (* 1/2 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b))))) |
(* (pow a 2) (+ (* -1/2 (/ b (* (pow a 2) c))) (+ (* 1/2 (/ c (pow b 3))) (/ 1/2 (* a b))))) |
(* 1/2 (/ (* a c) (pow b 3))) |
(* a (+ (* 1/2 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b))))) |
(* -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 (/ 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)))) |
(* (pow a 2) (+ (* -1 (/ (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b))) a)) (* 1/2 (/ c (pow b 3))))) |
(* -1 (* a (- (* -1/2 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(* -1 b) |
(+ (* 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)))) |
(/ (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) c))) (pow b 3)) |
(/ (+ (* 1/2 (* (pow a 2) c)) (* (pow b 2) (+ (* -1/2 (/ (pow b 2) c)) (* 1/2 a)))) (pow b 3)) |
(/ (+ (* 1/2 (* a c)) (* 1/2 (pow b 2))) (pow b 3)) |
(* -1 (pow b 2)) |
(/ c (pow b 3)) |
(/ (+ (* -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))))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* 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))))))) |
(* b (- (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ (* (pow a 2) c) (pow b 4)))) (* 1/2 (/ 1 c)))) |
(/ (+ 1/2 (* 1/2 (/ (* a c) (pow b 2)))) b) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1/2 (/ 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)) |
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))) |
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (+ (* -1/2 (/ (* (pow a 2) c) (pow b 4))) (* 1/2 (/ 1 c)))))) |
(* -1 (/ (- (* -1/2 (/ (* a c) (pow b 2))) 1/2) 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)))))))) |
(/ (+ (* -1/2 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) |
(/ (+ (* -1/2 b) (* c (+ (* 1/2 (/ a b)) (* 1/2 (/ (* (pow a 2) c) (pow b 3)))))) 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 (+ (* -4 a) (/ (pow b 2) c))) |
(/ (+ (* (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 (+ (* 1/2 (/ a (* b c))) (* 1/2 (/ (pow a 2) (pow b 3))))) |
(* c (+ (* -1/2 (/ b (pow c 2))) (+ (* 1/2 (/ a (* b c))) (* 1/2 (/ (pow a 2) (pow b 3)))))) |
(* c (+ (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -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 (+ (* -1/2 (/ a (* b c))) (* -1/2 (/ (pow a 2) (pow b 3)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) c)) (* -1/2 (/ (pow a 2) (pow b 3)))))) |
(* -1 (* c (- (* -1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | b | @ | inf | ((/ (- (/ (+ (* a (* c -4)) (* b b)) (sqrt (+ (* a (* c -4)) (* b b)))) b) (* 2 a)) (- (/ (+ (* a (* c -4)) (* b b)) (sqrt (+ (* a (* c -4)) (* b b)))) b) (/ (+ (* a (* c -4)) (* b b)) (sqrt (+ (* a (* c -4)) (* b b)))) (+ (* a (* c -4)) (* b b)) (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/ b a) (/ (neg (* b b)) (+ 0 b)) (+ 0 b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (/ (neg (* b b)) (+ 0 b)) a) (/ 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))) (+ (* (+ (* (* (/ c (pow b 3)) 1/2) a) (/ 1/2 b)) a) (* (/ b c) -1/2)) (/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (+ (* (* (/ c (pow b 3)) 1/2) a) (/ 1/2 b)) (sqrt (+ (* a (* c -4)) (* b b))) (neg (* b b)) (* b b) (+ (* (* -4 c) a) (* b b)) (/ c (pow b 3))) |
| 3.0ms | b | @ | -inf | ((/ (- (/ (+ (* a (* c -4)) (* b b)) (sqrt (+ (* a (* c -4)) (* b b)))) b) (* 2 a)) (- (/ (+ (* a (* c -4)) (* b b)) (sqrt (+ (* a (* c -4)) (* b b)))) b) (/ (+ (* a (* c -4)) (* b b)) (sqrt (+ (* a (* c -4)) (* b b)))) (+ (* a (* c -4)) (* b b)) (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/ b a) (/ (neg (* b b)) (+ 0 b)) (+ 0 b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (/ (neg (* b b)) (+ 0 b)) a) (/ 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))) (+ (* (+ (* (* (/ c (pow b 3)) 1/2) a) (/ 1/2 b)) a) (* (/ b c) -1/2)) (/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (+ (* (* (/ c (pow b 3)) 1/2) a) (/ 1/2 b)) (sqrt (+ (* a (* c -4)) (* b b))) (neg (* b b)) (* b b) (+ (* (* -4 c) a) (* b b)) (/ c (pow b 3))) |
| 3.0ms | b | @ | 0 | ((/ (- (/ (+ (* a (* c -4)) (* b b)) (sqrt (+ (* a (* c -4)) (* b b)))) b) (* 2 a)) (- (/ (+ (* a (* c -4)) (* b b)) (sqrt (+ (* a (* c -4)) (* b b)))) b) (/ (+ (* a (* c -4)) (* b b)) (sqrt (+ (* a (* c -4)) (* b b)))) (+ (* a (* c -4)) (* b b)) (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/ b a) (/ (neg (* b b)) (+ 0 b)) (+ 0 b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (/ (neg (* b b)) (+ 0 b)) a) (/ 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))) (+ (* (+ (* (* (/ c (pow b 3)) 1/2) a) (/ 1/2 b)) a) (* (/ b c) -1/2)) (/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (+ (* (* (/ c (pow b 3)) 1/2) a) (/ 1/2 b)) (sqrt (+ (* a (* c -4)) (* b b))) (neg (* b b)) (* b b) (+ (* (* -4 c) a) (* b b)) (/ c (pow b 3))) |
| 3.0ms | c | @ | -inf | ((/ (- (/ (+ (* a (* c -4)) (* b b)) (sqrt (+ (* a (* c -4)) (* b b)))) b) (* 2 a)) (- (/ (+ (* a (* c -4)) (* b b)) (sqrt (+ (* a (* c -4)) (* b b)))) b) (/ (+ (* a (* c -4)) (* b b)) (sqrt (+ (* a (* c -4)) (* b b)))) (+ (* a (* c -4)) (* b b)) (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/ b a) (/ (neg (* b b)) (+ 0 b)) (+ 0 b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (/ (neg (* b b)) (+ 0 b)) a) (/ 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))) (+ (* (+ (* (* (/ c (pow b 3)) 1/2) a) (/ 1/2 b)) a) (* (/ b c) -1/2)) (/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (+ (* (* (/ c (pow b 3)) 1/2) a) (/ 1/2 b)) (sqrt (+ (* a (* c -4)) (* b b))) (neg (* b b)) (* b b) (+ (* (* -4 c) a) (* b b)) (/ c (pow b 3))) |
| 3.0ms | c | @ | inf | ((/ (- (/ (+ (* a (* c -4)) (* b b)) (sqrt (+ (* a (* c -4)) (* b b)))) b) (* 2 a)) (- (/ (+ (* a (* c -4)) (* b b)) (sqrt (+ (* a (* c -4)) (* b b)))) b) (/ (+ (* a (* c -4)) (* b b)) (sqrt (+ (* a (* c -4)) (* b b)))) (+ (* a (* c -4)) (* b b)) (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/ b a) (/ (neg (* b b)) (+ 0 b)) (+ 0 b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (/ (neg (* b b)) (+ 0 b)) a) (/ 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))) (+ (* (+ (* (* (/ c (pow b 3)) 1/2) a) (/ 1/2 b)) a) (* (/ b c) -1/2)) (/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (+ (* (* (/ c (pow b 3)) 1/2) a) (/ 1/2 b)) (sqrt (+ (* a (* c -4)) (* b b))) (neg (* b b)) (* b b) (+ (* (* -4 c) a) (* b b)) (/ c (pow b 3))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 911 | 4487 |
| 1 | 3073 | 4365 |
| 0 | 8555 | 4170 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(/ b a) |
(* -1 (/ b a)) |
(* -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))))) |
(+ (* -1/2 (/ b c)) (* a (+ (* 1/2 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))) |
(/ 1/2 b) |
(+ (* 1/2 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* (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))))))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 3))) |
(* (pow a 2) (+ (* 1/2 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b))))) |
(* (pow a 2) (+ (* -1/2 (/ b (* (pow a 2) c))) (+ (* 1/2 (/ c (pow b 3))) (/ 1/2 (* a b))))) |
(* 1/2 (/ (* a c) (pow b 3))) |
(* a (+ (* 1/2 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b))))) |
(* -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 (/ 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)))) |
(* (pow a 2) (+ (* -1 (/ (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b))) a)) (* 1/2 (/ c (pow b 3))))) |
(* -1 (* a (- (* -1/2 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(* -1 b) |
(+ (* 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)))) |
(/ (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) c))) (pow b 3)) |
(/ (+ (* 1/2 (* (pow a 2) c)) (* (pow b 2) (+ (* -1/2 (/ (pow b 2) c)) (* 1/2 a)))) (pow b 3)) |
(/ (+ (* 1/2 (* a c)) (* 1/2 (pow b 2))) (pow b 3)) |
(* -1 (pow b 2)) |
(/ c (pow b 3)) |
(/ (+ (* -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))))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* 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))))))) |
(* b (- (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ (* (pow a 2) c) (pow b 4)))) (* 1/2 (/ 1 c)))) |
(/ (+ 1/2 (* 1/2 (/ (* a c) (pow b 2)))) b) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1/2 (/ 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)) |
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))) |
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (+ (* -1/2 (/ (* (pow a 2) c) (pow b 4))) (* 1/2 (/ 1 c)))))) |
(* -1 (/ (- (* -1/2 (/ (* a c) (pow b 2))) 1/2) 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)))))))) |
(/ (+ (* -1/2 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) |
(/ (+ (* -1/2 b) (* c (+ (* 1/2 (/ a b)) (* 1/2 (/ (* (pow a 2) c) (pow b 3)))))) 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 (+ (* -4 a) (/ (pow b 2) c))) |
(/ (+ (* (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 (+ (* 1/2 (/ a (* b c))) (* 1/2 (/ (pow a 2) (pow b 3))))) |
(* c (+ (* -1/2 (/ b (pow c 2))) (+ (* 1/2 (/ a (* b c))) (* 1/2 (/ (pow a 2) (pow b 3)))))) |
(* c (+ (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -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 (+ (* -1/2 (/ a (* b c))) (* -1/2 (/ (pow a 2) (pow b 3)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) c)) (* -1/2 (/ (pow a 2) (pow b 3)))))) |
(* -1 (* c (- (* -1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (* b 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 #s(literal -1/4 binary64) 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 -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)) |
(* -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 (*.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 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 (*.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) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
(/ b a) |
(/.f64 b a) |
(* -1 (/ b a)) |
(/.f64 (neg.f64 b) a) |
(* -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 (/.f64 (*.f64 (*.f64 b (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 20 binary64)) (*.f64 c c)) #s(literal -1/8 binary64) (+.f64 (/.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)) c) (*.f64 b b)))) (*.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 (+ (* 1/2 (/ (* a 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) |
(/.f64 #s(literal 1/2 binary64) b) |
(+ (* 1/2 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(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)) |
(* 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 1/16 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 #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) |
(* -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 (/ 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 #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))) |
(- (+ (* -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))))))) |
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(*.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 (neg.f64 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 #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 (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 (neg.f64 c))))) c) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.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) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) 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))))) |
(*.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 (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 (+ (* -1/8 (* (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)))))) |
(*.f64 (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 #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 (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 (+ (* -4 a) (/ (pow b 2) c))) |
(*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c) |
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -4))) (/ b (pow (sqrt -4) 2))) c) |
(/.f64 (-.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal 4 binary64))) 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) |
(/.f64 (-.f64 (-.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 b b) #s(literal -4 binary64))) c) (/.f64 #s(literal -1/2 binary64) c))) (/.f64 b #s(literal 4 binary64))) 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) |
(/.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)) 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 (/.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 b b) #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 c a))) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 b b) #s(literal -4 binary64))) #s(literal 1/2 binary64) (/.f64 b #s(literal 4 binary64))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 b b) #s(literal -4 binary64))))) c) |
(* c (+ (* 1/2 (/ a (* b c))) (* 1/2 (/ (pow a 2) (pow b 3))))) |
(*.f64 (*.f64 c #s(literal 1/2 binary64)) (+.f64 (/.f64 (/.f64 a b) c) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))))) |
(* c (+ (* -1/2 (/ b (pow c 2))) (+ (* 1/2 (/ a (* b c))) (* 1/2 (/ (pow a 2) (pow b 3)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) c) (/.f64 b c) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 a b) c)))) c) |
(* c (+ (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(*.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b c))) c) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) c) (/.f64 b a) (*.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 (fma.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) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b))) (sqrt.f64 #s(literal -1 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 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 b b))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c))) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 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 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b b))) (sqrt.f64 #s(literal -1 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 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)))) (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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))))) (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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)))))) (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) (* 1/2 (* (sqrt (* a c)) (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) b)) (neg.f64 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 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 b b)) #s(literal -1/16 binary64) (*.f64 (*.f64 b c) #s(literal -1/4 binary64))) (neg.f64 c))) (neg.f64 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 (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 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b)) #s(literal -1/16 binary64)) (fma.f64 (*.f64 #s(literal 1/32 binary64) (pow.f64 b #s(literal 3 binary64))) (/.f64 c a) (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a)) (*.f64 b b))) (sqrt.f64 #s(literal -1 binary64))))) c) #s(literal -1 binary64) (*.f64 (*.f64 b c) #s(literal -1/4 binary64))) (neg.f64 c))) (neg.f64 c)) |
(* -1 (* c (+ (* -1/2 (/ a (* b c))) (* -1/2 (/ (pow a 2) (pow b 3)))))) |
(*.f64 (*.f64 (neg.f64 c) #s(literal -1/2 binary64)) (+.f64 (/.f64 (/.f64 a b) c) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) c)) (* -1/2 (/ (pow a 2) (pow b 3)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))) (neg.f64 c))) (neg.f64 c)) |
(* -1 (* c (- (* -1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))) |
(*.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 b c))) (neg.f64 c)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 355 |
| 0 | 90 | 312 |
| 1 | 369 | 312 |
| 2 | 2951 | 294 |
| 0 | 8889 | 294 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b) |
(/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 b a)) |
(/.f64 b a) |
(/.f64 (neg.f64 (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) |
(+.f64 #s(literal 0 binary64) b) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (neg.f64 (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a)) |
(/.f64 (/.f64 (neg.f64 (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b))) |
(/.f64 a (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b)) |
(-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b) |
(sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) |
(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))) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) 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))))) |
#s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) 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)))) |
(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)) |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) |
(neg.f64 (*.f64 b b)) |
(*.f64 b b) |
#s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
(/.f64 c (pow.f64 b #s(literal 3 binary64))) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b))) #s(literal -1 binary64)) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) 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 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal -1 binary64))) |
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(-.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) #s(literal 2 binary64)) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(-.f64 (/.f64 (*.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(fabs.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 b b) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 b b)) |
(*.f64 (pow.f64 (/.f64 b #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 b #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 b b)) |
(*.f64 #s(literal 1 binary64) (*.f64 b b)) |
(*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 b #s(literal -2 binary64))) |
(*.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 b b) (pow.f64 (*.f64 b (pow.f64 b #s(literal -1 binary64))) #s(literal 2 binary64))) |
(*.f64 (*.f64 b b) #s(literal -1 binary64)) |
(*.f64 (*.f64 b b) #s(literal 1 binary64)) |
(*.f64 b b) |
(pow.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal -2 binary64)) |
(pow.f64 (*.f64 b b) #s(literal 1 binary64)) |
(pow.f64 b #s(literal 2 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 0 binary64))) (*.f64 b b)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 0 binary64))) (neg.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) #s(literal 0 binary64)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 b b)))))) |
(/.f64 (neg.f64 (pow.f64 b #s(literal 5 binary64))) (pow.f64 b #s(literal 3 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 b b)))))) |
(/.f64 (pow.f64 b #s(literal 5 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 0 binary64)) (*.f64 b b)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 b b)) |
(/.f64 (neg.f64 (pow.f64 b #s(literal 4 binary64))) (*.f64 b b)) |
(/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) #s(literal 0 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 b b))))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 b b))))) |
(/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 b b)) |
(/.f64 (pow.f64 b #s(literal 6 binary64)) (neg.f64 (pow.f64 b #s(literal 4 binary64)))) |
(/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(/.f64 (pow.f64 b #s(literal 3 binary64)) b) |
(neg.f64 (*.f64 b b)) |
(fma.f64 (pow.f64 (/.f64 (*.f64 b b) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 b b) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 b #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 b #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 b b) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 b b) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 b #s(literal -2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 b b) (pow.f64 (*.f64 b (pow.f64 b #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 b b) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 b b) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 b b #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 b b))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 b b)))))) |
(-.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) #s(literal 0 binary64))))) (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) #s(literal 0 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b)) |
(-.f64 (/.f64 #s(literal 0 binary64) b) (*.f64 b b)) |
(-.f64 #s(literal 0 binary64) (*.f64 b b)) |
(-.f64 (*.f64 b b) (/.f64 #s(literal 0 binary64) (*.f64 b b))) |
(-.f64 (*.f64 b b) #s(literal 0 binary64)) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) |
(+.f64 #s(literal 0 binary64) (*.f64 b b)) |
(+.f64 (*.f64 b b) #s(literal 0 binary64)) |
(*.f64 (pow.f64 (/.f64 (*.f64 b b) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 b b)) |
(*.f64 (pow.f64 (/.f64 b #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 b #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 b b)) |
(*.f64 #s(literal 1 binary64) (*.f64 b b)) |
(*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 b #s(literal -2 binary64))) |
(*.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 b b) (pow.f64 (*.f64 b (pow.f64 b #s(literal -1 binary64))) #s(literal 2 binary64))) |
(*.f64 (*.f64 b b) #s(literal -1 binary64)) |
(*.f64 (*.f64 b b) #s(literal 1 binary64)) |
(*.f64 b b) |
(pow.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal -2 binary64)) |
(pow.f64 (*.f64 b b) #s(literal 1 binary64)) |
(pow.f64 b #s(literal 2 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 0 binary64))) (*.f64 b b)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 0 binary64))) (neg.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) #s(literal 0 binary64)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 b b)))))) |
(/.f64 (neg.f64 (pow.f64 b #s(literal 5 binary64))) (pow.f64 b #s(literal 3 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 b b)))))) |
(/.f64 (pow.f64 b #s(literal 5 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 0 binary64)) (*.f64 b b)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 b b)) |
(/.f64 (neg.f64 (pow.f64 b #s(literal 4 binary64))) (*.f64 b b)) |
(/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) #s(literal 0 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 b b))))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 b b))))) |
(/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 b b)) |
(/.f64 (pow.f64 b #s(literal 6 binary64)) (neg.f64 (pow.f64 b #s(literal 4 binary64)))) |
(/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(/.f64 (pow.f64 b #s(literal 3 binary64)) b) |
(neg.f64 (*.f64 b b)) |
(fma.f64 (pow.f64 (/.f64 (*.f64 b b) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 b b) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 b #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 b #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 b b) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 b b) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 b #s(literal -2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 b b) (pow.f64 (*.f64 b (pow.f64 b #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 b b) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 b b) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 b b #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 b b))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 b b)))))) |
(-.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) #s(literal 0 binary64))))) (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) #s(literal 0 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b)) |
(-.f64 (/.f64 #s(literal 0 binary64) b) (*.f64 b b)) |
(-.f64 #s(literal 0 binary64) (*.f64 b b)) |
(-.f64 (*.f64 b b) (/.f64 #s(literal 0 binary64) (*.f64 b b))) |
(-.f64 (*.f64 b b) #s(literal 0 binary64)) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) |
(+.f64 #s(literal 0 binary64) (*.f64 b b)) |
(+.f64 (*.f64 b b) #s(literal 0 binary64)) |
(*.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a))) (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a)))) |
(pow.f64 (pow.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a))) #s(literal 2 binary64)) |
(pow.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a)) #s(literal 1 binary64)) |
#s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a)) |
(sqrt.f64 (pow.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a)) #s(literal 2 binary64))) |
(fabs.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a)))) |
(*.f64 (pow.f64 b #s(literal -3/2 binary64)) (pow.f64 (/.f64 (pow.f64 b #s(literal 3/2 binary64)) c) #s(literal -1 binary64))) |
(*.f64 (pow.f64 b #s(literal -2 binary64)) (/.f64 c b)) |
(*.f64 (pow.f64 b #s(literal -3 binary64)) (pow.f64 (pow.f64 c #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 b #s(literal -3 binary64)) c) |
(*.f64 (pow.f64 b #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 b b) c) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) |
(*.f64 (neg.f64 c) (pow.f64 b #s(literal -3 binary64))) |
(*.f64 c (pow.f64 b #s(literal -3 binary64))) |
(pow.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) c) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) c) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 c #s(literal 1 binary64))) (pow.f64 b #s(literal 3 binary64))) |
(/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3/2 binary64)))) (neg.f64 (pow.f64 b #s(literal 3/2 binary64)))) |
(/.f64 (neg.f64 (/.f64 c (*.f64 b b))) b) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 c))) (pow.f64 b #s(literal 3 binary64))) |
(/.f64 (*.f64 c #s(literal 1 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(/.f64 (/.f64 c (pow.f64 b #s(literal 3/2 binary64))) (pow.f64 b #s(literal 3/2 binary64))) |
(/.f64 (/.f64 c (*.f64 b b)) b) |
(/.f64 (neg.f64 (/.f64 c b)) (*.f64 b b)) |
(/.f64 (neg.f64 (neg.f64 c)) (pow.f64 b #s(literal 3 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) c) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) c))) |
(/.f64 (/.f64 c b) (*.f64 b b)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) c)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) c) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 3 binary64)) c)) |
(/.f64 (neg.f64 c) (pow.f64 b #s(literal 3 binary64))) |
(/.f64 c (pow.f64 b #s(literal 3 binary64))) |
(neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) c)) #s(literal -1 binary64))) |
Compiled 41 341 to 4 552 computations (89% saved)
40 alts after pruning (34 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 056 | 17 | 1 073 |
| Fresh | 11 | 17 | 28 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 069 | 40 | 1 109 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 46.5% | (/.f64 (-.f64 (/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b) (*.f64 #s(literal 2 binary64) a)) |
| 36.1% | (/.f64 (-.f64 (/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 #s(approx (+ (* a (* c -4)) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) | |
| ✓ | 53.9% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) |
| 37.6% | (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))) b) (*.f64 #s(literal 2 binary64) a)) | |
| 42.1% | (/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)) | |
| 31.1% | (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b))) (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)) | |
| 24.0% | (/.f64 (*.f64 a (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 1 binary64) b)) (*.f64 (*.f64 #s(literal 2 binary64) a) a)) | |
| 38.4% | (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)) a) | |
| 24.8% | (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b))) (*.f64 a (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b))) | |
| 27.2% | (/.f64 #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) | |
| ✓ | 38.3% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b))) |
| 31.0% | (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (-.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b))) (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b))) | |
| 36.2% | (/.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))))) | |
| 36.0% | (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (fma.f64 #s(approx (+ (* (* (/ c (pow b 3)) 1/2) a) (/ 1/2 b)) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64)) b)) a (*.f64 (/.f64 b c) #s(literal -1/2 binary64))))) | |
| 24.4% | (*.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))) | |
| 38.3% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)) | |
| 26.8% | #s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (+.f64 #s(literal 0 binary64) c)) b)) | |
| 2.6% | #s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 (/.f64 (*.f64 b b) a) b)) | |
| 2.3% | #s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 (*.f64 b b) (*.f64 b a))) | |
| 17.9% | #s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 (*.f64 b b) (neg.f64 (*.f64 b a)))) | |
| ✓ | 35.9% | #s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 (neg.f64 c) b)) |
| 10.4% | #s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 c b)) | |
| ✓ | 2.7% | #s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 b a)) |
| 2.3% | #s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (*.f64 b b)))) | |
| 2.7% | #s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 a b))) | |
| 35.8% | #s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) | |
| 28.4% | #s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b))) | |
| 35.8% | #s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (*.f64 (pow.f64 b #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) c) #s(literal -1 binary64)))) | |
| 10.5% | #s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (*.f64 (/.f64 c (*.f64 b b)) b)) | |
| 28.4% | #s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) b)) | |
| 4.7% | #s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (*.f64 b (/.f64 b (*.f64 b a)))) | |
| 5.8% | #s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64)))) | |
| 4.9% | #s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64)))) | |
| 2.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c #s(literal 1 binary64)) a (*.f64 b b)) (*.f64 b a))) | |
| 34.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 a c) (/.f64 c (*.f64 b b)) c) (neg.f64 b))) | |
| 3.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 b #s(literal 3 binary64)))) (pow.f64 b #s(literal 5 binary64))) (+.f64 #s(literal 0 binary64) b)) a)) | |
| ✓ | 28.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
| 2.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (exp.f64 (log.f64 b)) a)) | |
| 28.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) | |
| 28.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a))) |
Compiled 2 976 to 1 085 computations (63.5% saved)
| Inputs |
|---|
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 b a)) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 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 (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) b)) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (*.f64 b (/.f64 b (*.f64 b a)))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (*.f64 (/.f64 c (*.f64 b b)) b)) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 (*.f64 b b) (*.f64 b a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 #s(literal -2 binary64) b))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 a b))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 (*.f64 b b) (neg.f64 (*.f64 b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 (/.f64 (*.f64 b b) a) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (neg.f64 (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c #s(literal 1 binary64)) a (*.f64 b b)) (*.f64 b a))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (*.f64 b b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 c (*.f64 b b)) b (/.f64 b a))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (+.f64 #s(literal 0 binary64) c)) b)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.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 (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)) a) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 a c) (/.f64 c (*.f64 b b)) c) (neg.f64 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 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b))) (*.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 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) 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))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (*.f64 a (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 1 binary64) b)) (*.f64 (*.f64 #s(literal 2 binary64) a) a)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b))) (*.f64 a (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b))) |
(/.f64 (-.f64 (/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 #s(approx (+ (* a (* c -4)) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (-.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b))) (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b))) (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)) |
(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))) b) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 a b)) (*.f64 a (*.f64 #s(literal 2 binary64) a))) |
(*.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (fma.f64 #s(approx (+ (* (* (/ c (pow b 3)) 1/2) a) (/ 1/2 b)) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64)) b)) a (*.f64 (/.f64 b c) #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) b))) |
(/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) a) (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) 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))))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal -1 binary64)))))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (exp.f64 (log.f64 b)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64))) a)) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64)))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 b #s(literal -2 binary64))) a)) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (*.f64 (pow.f64 b #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) c) #s(literal -1 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (exp.f64 (*.f64 (log.f64 (/.f64 b (fma.f64 (*.f64 a c) (/.f64 c (*.f64 b b)) c))) #s(literal -1 binary64))))) |
(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (exp.f64 (-.f64 (*.f64 (log.f64 b) #s(literal 3 binary64)) (*.f64 (log.f64 b) #s(literal 2 binary64)))) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 b #s(literal 3 binary64)))) (pow.f64 b #s(literal 5 binary64))) (+.f64 #s(literal 0 binary64) b)) a)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.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))))) |
4 calls:
| 21.0ms | a |
| 21.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| 21.0ms | b |
| 20.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.9% | 1 | a |
| 86.0% | 3 | b |
| 53.9% | 1 | c |
| 78.1% | 5 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
Compiled 20 to 23 computations (-15% saved)
| Inputs |
|---|
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 b a)) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 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 (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) b)) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (*.f64 b (/.f64 b (*.f64 b a)))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (*.f64 (/.f64 c (*.f64 b b)) b)) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 (*.f64 b b) (*.f64 b a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 #s(literal -2 binary64) b))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 a b))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 (*.f64 b b) (neg.f64 (*.f64 b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 (/.f64 (*.f64 b b) a) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (neg.f64 (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c #s(literal 1 binary64)) a (*.f64 b b)) (*.f64 b a))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (*.f64 b b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 c (*.f64 b b)) b (/.f64 b a))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (+.f64 #s(literal 0 binary64) c)) b)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.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 (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)) a) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 a c) (/.f64 c (*.f64 b b)) c) (neg.f64 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 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b))) (*.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 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(/.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))))) |
1 calls:
| 12.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.9% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 b a)) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 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 (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) b)) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (*.f64 b (/.f64 b (*.f64 b a)))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (*.f64 (/.f64 c (*.f64 b b)) b)) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 (*.f64 b b) (*.f64 b a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 #s(literal -2 binary64) b))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 a b))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 (*.f64 b b) (neg.f64 (*.f64 b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 (/.f64 (*.f64 b b) a) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (neg.f64 (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c #s(literal 1 binary64)) a (*.f64 b b)) (*.f64 b a))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (*.f64 b b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 c (*.f64 b b)) b (/.f64 b a))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (+.f64 #s(literal 0 binary64) c)) b)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.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 (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)) a) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 a c) (/.f64 c (*.f64 b b)) c) (neg.f64 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 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b))) (*.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 (neg.f64 b) a)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)) 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))))) |
1 calls:
| 10.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.8% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 b a)) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 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 (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) b)) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (*.f64 b (/.f64 b (*.f64 b a)))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (*.f64 (/.f64 c (*.f64 b b)) b)) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 (*.f64 b b) (*.f64 b a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 #s(literal -2 binary64) b))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 a b))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 (*.f64 b b) (neg.f64 (*.f64 b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 (/.f64 (*.f64 b b) a) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (neg.f64 (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c #s(literal 1 binary64)) a (*.f64 b b)) (*.f64 b a))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (*.f64 b b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 c (*.f64 b b)) b (/.f64 b a))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (+.f64 #s(literal 0 binary64) c)) b)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.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 (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)) a) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 a c) (/.f64 c (*.f64 b b)) c) (neg.f64 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 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b))) (*.f64 #s(literal 2 binary64) a)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
1 calls:
| 26.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.7% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 b a)) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 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 (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) b)) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (*.f64 b (/.f64 b (*.f64 b a)))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (*.f64 (/.f64 c (*.f64 b b)) b)) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 (*.f64 b b) (*.f64 b a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 #s(literal -2 binary64) b))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 a b))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 (*.f64 b b) (neg.f64 (*.f64 b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 (/.f64 (*.f64 b b) a) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (neg.f64 (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c #s(literal 1 binary64)) a (*.f64 b b)) (*.f64 b a))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (*.f64 b b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 c (*.f64 b b)) b (/.f64 b a))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (+.f64 #s(literal 0 binary64) c)) b)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.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 (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a))) 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 |
|---|---|---|
| 80.6% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 b a)) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 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 (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) b)) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (*.f64 b (/.f64 b (*.f64 b a)))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (*.f64 (/.f64 c (*.f64 b b)) b)) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 (*.f64 b b) (*.f64 b a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 #s(literal -2 binary64) b))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 a b))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 (*.f64 b b) (neg.f64 (*.f64 b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 (/.f64 (*.f64 b b) a) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (neg.f64 (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c #s(literal 1 binary64)) a (*.f64 b b)) (*.f64 b a))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (*.f64 b b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 c (*.f64 b b)) b (/.f64 b a))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (+.f64 #s(literal 0 binary64) c)) b)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.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:
| 11.0ms | b |
| 7.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.1% | 4 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| 61.9% | 2 | b |
Compiled 18 to 17 computations (5.6% saved)
| Inputs |
|---|
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 b a)) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 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 (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) b)) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (*.f64 b (/.f64 b (*.f64 b a)))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (*.f64 (/.f64 c (*.f64 b b)) b)) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 (*.f64 b b) (*.f64 b a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 #s(literal -2 binary64) b))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 a b))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 (*.f64 b b) (neg.f64 (*.f64 b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
1 calls:
| 5.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.9% | 2 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 b a)) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 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 (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 c b)) |
4 calls:
| 2.0ms | c |
| 2.0ms | a |
| 2.0ms | b |
| 2.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 28.5% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| 28.5% | 1 | c |
| 28.5% | 1 | a |
| 36.0% | 2 | b |
Compiled 20 to 23 computations (-15% saved)
| Inputs |
|---|
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 b a)) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 c b)) |
| Outputs |
|---|
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 c b)) |
4 calls:
| 1.0ms | c |
| 1.0ms | a |
| 1.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| 1.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 10.4% | 1 | a |
| 10.4% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| 10.4% | 1 | c |
| 10.4% | 1 | b |
Compiled 20 to 23 computations (-15% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 b a)) |
| Outputs |
|---|
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 b a)) |
4 calls:
| 5.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| 1.0ms | c |
| 1.0ms | b |
| 1.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 2.7% | 1 | c |
| 2.7% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| 2.7% | 1 | a |
| 2.7% | 1 | b |
Compiled 20 to 23 computations (-15% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 33.0ms | 1.197121388515895e-20 | 2.3578873819444483e-10 |
| 17.0ms | -2.6231256356476612e+154 | -8.796182585349536e+143 |
| 22.0ms | 235× | 0 | valid |
| 7.0ms | 49× | 1 | valid |
| 4.0ms | 20× | 2 | valid |
| 1.0ms | 16× | 0 | invalid |
Compiled 773 to 629 computations (18.6% saved)
ival-mult: 8.0ms (31.7% of total)ival-add: 5.0ms (19.8% of total)ival-div: 3.0ms (11.9% of total)ival-sqrt: 3.0ms (11.9% of total)adjust: 2.0ms (7.9% of total)ival-sub: 2.0ms (7.9% of total)ival-neg: 2.0ms (7.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 1.197121388515895e-20 | 2.3578873819444483e-10 |
| 16.0ms | -3.835696115574877e+62 | -3.816442143515078e+58 |
| 10.0ms | 128× | 0 | valid |
| 1.0ms | 7× | 0 | invalid |
Compiled 736 to 598 computations (18.8% saved)
ival-mult: 3.0ms (41.5% of total)ival-div: 1.0ms (13.8% of total)ival-add: 1.0ms (13.8% of total)ival-sub: 1.0ms (13.8% of total)ival-sqrt: 1.0ms (13.8% of total)ival-neg: 1.0ms (13.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 1.197121388515895e-20 | 2.3578873819444483e-10 |
| 14.0ms | -2.0736626327598995e-24 | -1.0040158903100793e-25 |
| 10.0ms | 125× | 0 | valid |
| 4.0ms | 8× | 0 | invalid |
| 2.0ms | 11× | 1 | valid |
| 1.0ms | 7× | 2 | valid |
| 0.0ms | 1× | 3 | valid |
Compiled 818 to 652 computations (20.3% saved)
ival-mult: 4.0ms (40.9% of total)adjust: 1.0ms (10.2% of total)ival-div: 1.0ms (10.2% of total)ival-sub: 1.0ms (10.2% of total)ival-sqrt: 1.0ms (10.2% of total)ival-add: 1.0ms (10.2% of total)ival-neg: 1.0ms (10.2% 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 |
|---|---|---|
| 1.0ms | 1.197121388515895e-20 | 2.3578873819444483e-10 |
| 1.0ms | -2.0736626327598995e-24 | -1.0040158903100793e-25 |
Compiled 768 to 632 computations (17.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.197121388515895e-20 | 2.3578873819444483e-10 |
| 1.0ms | -2.0736626327598995e-24 | -1.0040158903100793e-25 |
Compiled 768 to 632 computations (17.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 27.0ms | -1.9495150218068709e-305 | 6.636497709586226e-304 |
| 16.0ms | 144× | 0 | valid |
| 5.0ms | 60× | 0 | invalid |
Compiled 443 to 353 computations (20.3% saved)
ival-div: 5.0ms (33.7% of total)ival-mult: 5.0ms (33.7% of total)ival-sqrt: 2.0ms (13.5% of total)ival-add: 1.0ms (6.7% of total)ival-sub: 1.0ms (6.7% of total)ival-neg: 1.0ms (6.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 24.0ms | 6.636497709586226e-304 | 1.179268583069223e-302 |
| 9.0ms | 112× | 0 | valid |
| 3.0ms | 39× | 0 | invalid |
Compiled 328 to 272 computations (17.1% saved)
ival-mult: 3.0ms (37.9% of total)ival-div: 1.0ms (12.6% of total)ival-add: 1.0ms (12.6% of total)ival-sub: 1.0ms (12.6% of total)ival-sqrt: 1.0ms (12.6% of total)ival-neg: 1.0ms (12.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 31.0ms | 6.46217622723237e+62 | 2.4181178662727484e+66 |
| 16.0ms | 46× | 2 | valid |
| 6.0ms | 42× | 1 | valid |
| 3.0ms | 37× | 0 | valid |
| 1.0ms | 3× | 3 | valid |
| 1.0ms | 7× | 0 | invalid |
Compiled 356 to 292 computations (18% saved)
ival-mult: 11.0ms (52.2% of total)adjust: 3.0ms (14.2% of total)ival-div: 2.0ms (9.5% of total)ival-sqrt: 2.0ms (9.5% of total)ival-sub: 1.0ms (4.7% of total)ival-add: 1.0ms (4.7% of total)ival-neg: 1.0ms (4.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 87 | 556 |
| 1 | 127 | 544 |
| 2 | 196 | 544 |
| 3 | 316 | 544 |
| 4 | 465 | 544 |
| 5 | 733 | 544 |
| 6 | 3262 | 544 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 b #s(literal -999999999999999977996382405657660174364823889467801080772253244969263939229107492426926049423260513969768268415537077468838432306731146395363835904 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 633460216741249/10384593717069655257060992658440192 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.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))))))) |
(if (<=.f64 b #s(literal -289999999999999983895021543445505590361171083744393784811585536 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 633460216741249/10384593717069655257060992658440192 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.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))))))) |
(if (<=.f64 b #s(literal -2504478220538107/5444517870735015415413993718908291383296 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 8639981972601953/166153499473114484112975882535043072 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)) 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))))))) |
(if (<=.f64 b #s(literal -2504478220538107/5444517870735015415413993718908291383296 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 8639981972601953/166153499473114484112975882535043072 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b #s(literal -2504478220538107/5444517870735015415413993718908291383296 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 8639981972601953/166153499473114484112975882535043072 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.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 8276947614495735/12353653155963782858428671064387042666598916611580939841119467653041402561523153496823753888027168243114445670429492914513538130943957121390808923336226715693451991227817771079374200911992994161452622538969283756626099089564495403968390097390695773702442020050803147555684412513136627351818013153603882218219464583806976 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 740000000000000028199873984308928490234251902826699727688433664 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 c b))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 c b)) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 b a)) |
| Outputs |
|---|
(if (<=.f64 b #s(literal -999999999999999977996382405657660174364823889467801080772253244969263939229107492426926049423260513969768268415537077468838432306731146395363835904 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 633460216741249/10384593717069655257060992658440192 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.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))))))) |
(if (<=.f64 b #s(literal -289999999999999983895021543445505590361171083744393784811585536 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 633460216741249/10384593717069655257060992658440192 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.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))))))) |
(if (<=.f64 b #s(literal -2504478220538107/5444517870735015415413993718908291383296 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 8639981972601953/166153499473114484112975882535043072 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)) 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))))))) |
(if (<=.f64 b #s(literal -2504478220538107/5444517870735015415413993718908291383296 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 8639981972601953/166153499473114484112975882535043072 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b #s(literal -2504478220538107/5444517870735015415413993718908291383296 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 8639981972601953/166153499473114484112975882535043072 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.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 8276947614495735/12353653155963782858428671064387042666598916611580939841119467653041402561523153496823753888027168243114445670429492914513538130943957121390808923336226715693451991227817771079374200911992994161452622538969283756626099089564495403968390097390695773702442020050803147555684412513136627351818013153603882218219464583806976 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 740000000000000028199873984308928490234251902826699727688433664 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 c b))) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 c b)) |
#s(approx (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* 2 a)) (/.f64 b a)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 606 | 3240 |
| 1 | 1955 | 3199 |
| 2 | 6561 | 3129 |
| 0 | 8115 | 2983 |
| 0 | 545 | 2858 |
| 1 | 1738 | 2817 |
| 2 | 6121 | 2789 |
| 0 | 8386 | 2654 |
| 0 | 58 | 355 |
| 0 | 90 | 312 |
| 1 | 369 | 312 |
| 2 | 2951 | 294 |
| 0 | 8889 | 294 |
| 0 | 50 | 228 |
| 0 | 79 | 203 |
| 1 | 312 | 191 |
| 2 | 2332 | 188 |
| 0 | 8968 | 187 |
| 0 | 1149 | 7184 |
| 1 | 3993 | 7016 |
| 0 | 8374 | 6732 |
| 0 | 14 | 51 |
| 0 | 23 | 51 |
| 1 | 76 | 49 |
| 2 | 536 | 48 |
| 3 | 6892 | 48 |
| 0 | 8186 | 44 |
| 0 | 38 | 254 |
| 0 | 61 | 225 |
| 1 | 250 | 219 |
| 2 | 2181 | 211 |
| 0 | 8381 | 211 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 370 to 557 computations (59.3% saved)
Compiled 1 146 to 206 computations (82% saved)
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