
Time bar (total: 9.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 40% | 37.4% | 56.2% | 0.1% | 0% | 6.2% | 0% | 7 |
| 48.3% | 45.2% | 48.4% | 0.1% | 0% | 6.2% | 0% | 8 |
| 53% | 48.4% | 42.9% | 0.1% | 0% | 8.6% | 0% | 9 |
| 58.1% | 50.3% | 36.3% | 0.1% | 0% | 13.3% | 0% | 10 |
| 66.1% | 56.8% | 29.1% | 0.1% | 0% | 14% | 0% | 11 |
| 70.4% | 58.8% | 24.7% | 0.1% | 0% | 16.4% | 0% | 12 |
Compiled 19 to 16 computations (15.8% saved)
| 865.0ms | 5 632× | 0 | valid |
| 382.0ms | 1 209× | 2 | valid |
| 296.0ms | 1 256× | 1 | valid |
| 173.0ms | 159× | 3 | valid |
| 124.0ms | 912× | 0 | invalid |
ival-mult: 572.0ms (40.6% of total)ival-add: 239.0ms (17% of total)ival-sqrt: 194.0ms (13.8% of total)adjust: 137.0ms (9.7% of total)ival-div: 96.0ms (6.8% of total)ival-sub: 77.0ms (5.5% of total)ival-neg: 75.0ms (5.3% of total)exact: 9.0ms (0.6% of total)ival-true: 7.0ms (0.5% of total)ival-assert: 4.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 99 | 0 | - | 1 | (2.8985130177875177e-202 -6.428394566341808e-158 -1.1637557878089103e-123) | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| 67 | 1 | (-6.841575951651585e-61 1102016530187208.1 -8.172178077693284e-249) | 0 | - | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| 16 | 0 | - | 5 | (-1.739179200054432e-304 2.44768963070351e+284 -4.572655008294406e+274) | (/.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)) |
| 7 | 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 | 94 | 0 |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | overflow | 94 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | overflow | 29 | |
| ↳ | (*.f64 b b) | overflow | 77 | |
+.f64 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | cancellation | 68 | 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 | 11 | 0 |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | underflow | 4 | |
| ↳ | (+.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 | 34 | |
| ↳ | (*.f64 b b) | underflow | 42 | |
-.f64 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | nan-rescue | 7 | 0 |
| ↳ | (*.f64 b b) | overflow | 77 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | overflow | 29 | |
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) | uflow-rescue | 4 | 0 |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | underflow | 4 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | underflow | 34 | |
| ↳ | (*.f64 b b) | underflow | 42 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 137 | 1 |
| - | 13 | 105 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 137 | 0 | 1 |
| - | 13 | 0 | 105 |
| number | freq |
|---|---|
| 0 | 106 |
| 1 | 121 |
| 2 | 24 |
| 3 | 5 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 49.0ms | 326× | 0 | valid |
| 22.0ms | 98× | 2 | valid |
| 16.0ms | 84× | 1 | valid |
| 1.0ms | 4× | 3 | valid |
Compiled 231 to 60 computations (74% saved)
ival-mult: 15.0ms (34.2% of total)ival-sqrt: 6.0ms (13.7% of total)ival-div: 5.0ms (11.4% of total)adjust: 5.0ms (11.4% of total)ival-sub: 4.0ms (9.1% of total)ival-add: 4.0ms (9.1% of total)ival-neg: 2.0ms (4.6% of total)exact: 1.0ms (2.3% 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 | 1233 | 144 |
| 4 | 3210 | 144 |
| 5 | 6057 | 144 |
| 0 | 14 | 17 |
| 0 | 23 | 17 |
| 1 | 40 | 16 |
| 2 | 77 | 16 |
| 3 | 160 | 16 |
| 4 | 240 | 16 |
| 5 | 381 | 16 |
| 6 | 662 | 16 |
| 7 | 1129 | 16 |
| 8 | 2243 | 16 |
| 9 | 2519 | 16 |
| 10 | 2629 | 16 |
| 11 | 2684 | 16 |
| 12 | 2685 | 16 |
| 13 | 2685 | 16 |
| 14 | 2691 | 16 |
| 0 | 2691 | 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 |
|---|---|---|
| ▶ | 48.3% | (/.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 | 128 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | |
| cost-diff | 128 | (+.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 | 662 | 68 |
| 7 | 1129 | 68 |
| 8 | 2243 | 68 |
| 9 | 2519 | 68 |
| 10 | 2629 | 68 |
| 11 | 2684 | 68 |
| 12 | 2685 | 68 |
| 13 | 2685 | 68 |
| 14 | 2691 | 68 |
| 0 | 2691 | 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 | 1.4023437500000002 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | |
| accuracy | 3.2382015579844277 | (/.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 | 15.08716535480234 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | |
| accuracy | 22.906050635579092 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| 28.0ms | 42× | 1 | valid |
| 26.0ms | 163× | 0 | valid |
| 11.0ms | 49× | 2 | valid |
| 1.0ms | 2× | 3 | valid |
Compiled 142 to 30 computations (78.9% saved)
ival-sqrt: 24.0ms (57.2% of total)ival-mult: 6.0ms (14.3% of total)ival-div: 3.0ms (7.2% of total)adjust: 3.0ms (7.2% of total)ival-sub: 2.0ms (4.8% of total)ival-add: 2.0ms (4.8% of total)ival-neg: 1.0ms (2.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (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 | a | @ | inf | ((+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
| 3.0ms | c | @ | -inf | ((+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
| 2.0ms | 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 | 6085 | 2789 |
| 0 | 8245 | 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) |
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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 | 6864 | 48 |
| 0 | 8158 | 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 (*.f64 #s(literal -4 binary64) c) a) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b 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 (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 (*.f64 #s(literal -4 binary64) c) a) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))) |
(/.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 (*.f64 #s(literal -4 binary64) c) a) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(/.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 (*.f64 #s(literal -4 binary64) c) a) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (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 (*.f64 #s(literal -4 binary64) c) a) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) #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 2 143 computations (88.7% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 520 | 13 | 533 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 521 | 13 | 534 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 24.0% | (/.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))) |
| 42.7% | (/.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)) | |
| 47.7% | (/.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)) | |
| 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)) | |
| 30.9% | (/.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)) | |
| ▶ | 32.2% | (/.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)) |
| ▶ | 47.9% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
| ▶ | 47.9% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
| 30.5% | #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))) | |
| 38.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) | |
| ▶ | 30.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
| 35.8% | #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))) | |
| 36.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (*.f64 c (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) a (/.f64 #s(literal 1 binary64) b))))) |
Compiled 612 to 438 computations (28.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal -4 binary64) c) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) | |
| cost-diff | 64 | (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) | |
| cost-diff | 576 | (/.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))) | |
| 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)) | |
| cost-diff | 0 | (*.f64 (/.f64 a b) #s(literal -2 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c) | |
| cost-diff | 0 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (/.f64 (neg.f64 b) a) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) | |
| cost-diff | 0 | (-.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 | 384 | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 318 |
| 0 | 58 | 318 |
| 1 | 101 | 312 |
| 2 | 214 | 312 |
| 3 | 434 | 312 |
| 4 | 777 | 310 |
| 5 | 1784 | 306 |
| 6 | 6149 | 306 |
| 0 | 8145 | 304 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.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 |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
(/.f64 (neg.f64 b) a) |
(neg.f64 b) |
b |
a |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c) |
(*.f64 (/.f64 a b) #s(literal -2 binary64)) |
(/.f64 a b) |
a |
b |
#s(literal -2 binary64) |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(*.f64 (/.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 |
(/.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))) |
(fma.f64 b b (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)) |
(*.f64 #s(literal -4 binary64) c) |
#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 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(-.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))) |
| Outputs |
|---|
(/.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 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 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)) |
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.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 #s(literal -4 binary64) a) c (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.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 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
(/.f64 (neg.f64 b) a) |
(neg.f64 b) |
b |
a |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 a b)) c)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 a b)) c)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c) |
(*.f64 (*.f64 #s(literal -2 binary64) (/.f64 a b)) c) |
(*.f64 (/.f64 a b) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (/.f64 a b)) |
(/.f64 a b) |
a |
b |
#s(literal -2 binary64) |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 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 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 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) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.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 (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 (fma.f64 (/.f64 b a) b (*.f64 #s(literal -2 binary64) c)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)) |
(fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 #s(literal 2 binary64) (*.f64 b b))) |
b |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
(*.f64 c #s(literal -4 binary64)) |
#s(literal -4 binary64) |
c |
a |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 2 binary64) a) (-.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) a) c (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.5297098293744913 | (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) | |
| accuracy | 15.08716535480234 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) | |
| accuracy | 19.79939683369962 | (/.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))) | |
| accuracy | 22.906050635579092 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) | |
| accuracy | 0.24476089264450002 | (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) | |
| accuracy | 3.3475763174223503 | (*.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 | 15.08716535480234 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) | |
| accuracy | 22.906050635579092 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) | |
| accuracy | 0.0078125 | (*.f64 (/.f64 a b) #s(literal -2 binary64)) | |
| accuracy | 3.2382015579844277 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 4.100324429656262 | (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c) | |
| accuracy | 39.25414249925897 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) | |
| accuracy | 0.0 | (/.f64 (neg.f64 b) a) | |
| accuracy | 0.0 | (neg.f64 b) | |
| accuracy | 44.35362730507154 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) | |
| accuracy | 0.24476089264450002 | (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) | |
| accuracy | 3.240582045299777 | (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) | |
| accuracy | 15.08716535480234 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) | |
| accuracy | 22.906050635579092 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
| 37.0ms | 163× | 0 | valid |
| 32.0ms | 44× | 2 | valid |
| 25.0ms | 42× | 1 | valid |
| 5.0ms | 7× | 3 | valid |
Compiled 635 to 74 computations (88.3% saved)
ival-mult: 25.0ms (35.9% of total)ival-div: 14.0ms (20.1% of total)ival-sqrt: 13.0ms (18.7% of total)adjust: 6.0ms (8.6% of total)ival-add: 6.0ms (8.6% of total)ival-sub: 4.0ms (5.8% of total)exact: 1.0ms (1.4% of total)ival-neg: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.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 (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 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
(/.f64 (neg.f64 b) a) |
(neg.f64 b) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c) |
(*.f64 (/.f64 a b) #s(literal -2 binary64)) |
(*.f64 (/.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 (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))) |
(fma.f64 b b (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) |
(*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
| Outputs |
|---|
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -1/2 (/ b c)) |
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) |
(+ (* -1/2 (/ b c)) (* a (+ (* -1 (* a (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) |
(+ (* -1/2 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (/ (pow c 2) (pow b 5)))))) (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* -1 (/ b a)) |
(* -2 (/ a b)) |
(/ 1/2 a) |
(* -1/2 (/ (pow b 3) (* (pow a 2) c))) |
(/ (+ (* -1/2 (/ (pow b 3) c)) (* 1/2 (* a (- (* 2 b) (* -1 b))))) (pow a 2)) |
(/ (+ (* -1/2 (/ (pow b 3) c)) (* a (+ (* -1/2 (* a (+ (* -2 (/ c b)) (/ (* c (- (* 2 b) (* -1 b))) (pow b 2))))) (* 1/2 (- (* 2 b) (* -1 b)))))) (pow a 2)) |
(/ (+ (* -1/2 (/ (pow b 3) c)) (* a (+ (* 1/2 (- (* 2 b) (* -1 b))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* c (+ (* -2 (/ c b)) (/ (* c (- (* 2 b) (* -1 b))) (pow b 2)))) (pow b 2))) (+ (* -1/4 (/ (* (pow b 3) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* 2 b) (* -1 b))) (pow b 4))))))) (* -1/2 (+ (* -2 (/ c b)) (/ (* c (- (* 2 b) (* -1 b))) (pow b 2))))))))) (pow a 2)) |
(* 2 (pow b 2)) |
(+ (* -4 (* a c)) (* 2 (pow b 2))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (/ (* (pow a 2) c) b)) |
(* (pow a 2) (+ (* -4 (/ c b)) (* -4 (/ (* a (pow c 2)) (pow b 3))))) |
(* (pow a 2) (+ (* -4 (/ c b)) (* a (+ (* -8 (/ (* a (pow c 3)) (pow b 5))) (* -4 (/ (pow c 2) (pow b 3))))))) |
(* (pow a 2) (+ (* -4 (/ c b)) (* a (+ (* -4 (/ (pow c 2) (pow b 3))) (* a (+ (* -8 (/ (pow c 3) (pow b 5))) (* -1 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) 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)) (/ 1 (sqrt -4))) |
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2)))) |
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (* c (pow (sqrt -4) 2))))) |
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (pow a 2))) (* 1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a)))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (pow a 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))))) (sqrt -4)))) (pow a 3))) (* 1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a))))) a) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (* 2 (/ (pow b 2) a)))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) |
(* (pow a 2) (+ (* -2 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -4))))) |
(* (pow a 2) (+ (* -2 (/ b a)) (+ (* 2 (* (sqrt (/ c a)) (sqrt -4))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(* (pow a 2) (+ (* -2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ c a)) (sqrt -4))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -1/2 (* (sqrt (/ a c)) (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ a c)) (sqrt -1))) (* -1/4 (/ b c))) |
(+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1)))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/32 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1)))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 (/ (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b))) (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (* a (* (pow b 2) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a)) (* 1/2 (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))) a))) a)) |
(* -1 (* a (+ (* -2 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -4 (* (sqrt (* (pow a 3) c)) (sqrt -1))) |
(* (pow a 2) (+ (* -4 (* (sqrt (/ c a)) (sqrt -1))) (* -2 (/ b a)))) |
(* (pow a 2) (+ (* -4 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 2 b)) a)))) |
(* (pow a 2) (+ (* -4 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/32 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 2 b)) a)))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(+ (* b (+ (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(+ (* b (+ (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(* -1 b) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (- (* 1/2 (* b (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (- (* b (+ (* 1/2 (* b (- (* 2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))) (sqrt -4))))))) (* 1/2 (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* -2 (* a b)) (* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))) |
(+ (* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (+ (* -2 a) (* (sqrt (/ a c)) (/ b (sqrt -4)))))) |
(+ (* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (+ (* -2 a) (* b (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))))))) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* b (- (* -1 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))) |
(* b (- (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (* (pow a 3) (pow c 2)))) (pow b 6))) (+ (* -1 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (+ (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (* 1/2 (/ 1 c))))))) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* (pow b 3) (- (* 3/2 (/ 1 (* a (pow b 2)))) (* 1/2 (/ 1 (* (pow a 2) c))))) |
(* (pow b 3) (- (+ (* -1/2 (/ (+ (* -2 c) (* 3 c)) (pow b 4))) (/ 3/2 (* a (pow b 2)))) (* 1/2 (/ 1 (* (pow a 2) c))))) |
(* (pow b 3) (- (+ (* -1/2 (/ (+ (* -2 c) (* 3 c)) (pow b 4))) (+ (* -1/2 (/ (+ (* -1 (* a (* c (+ (* -2 c) (* 3 c))))) (+ (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 6 (* a (pow c 2))))) (pow b 6))) (/ 3/2 (* a (pow b 2))))) (* 1/2 (/ 1 (* (pow a 2) c))))) |
(* (pow b 2) (+ 2 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(/ (+ (* -4 (* (pow a 2) c)) (* -4 (/ (* (pow a 3) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -8 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -4 (* (pow a 2) c)) (* -4 (/ (* (pow a 3) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -8 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -4 (* (pow a 2) c)) (+ (* -4 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* -1 (/ (* a (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4))))) (pow b 6)))))) 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)))))) |
(* -1/2 (/ a b)) |
(* -1 (/ (+ (* 1/2 a) (* 1/2 (/ (* (pow a 2) c) (pow b 2)))) b)) |
(* -1 (/ (- (+ (* 1/2 a) (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2)))) b)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -2 (* (pow a 4) (pow c 3))) (* -1/2 (* (pow a 4) (pow c 3)))) (pow b 6))) (* 1/2 a)) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2))))) b)) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1/2 (/ b a)) |
(* -1 (* b (+ (* 1/2 (/ (- (* -2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ (+ (* -1 (* a (* c (- (* -2 c) (* -1 c))))) (* -1 (* a (pow c 2)))) (pow b 4))) (+ (* 1/2 (/ (- (* -2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a)))))) |
(* -1 (* b (+ (* -1/2 (/ (+ (* -2 (* (pow a 2) (pow c 3))) (+ (* -1 (* (pow a 2) (* (pow c 2) (- (* -2 c) (* -1 c))))) (* a (* c (+ (* -1 (* a (* c (- (* -2 c) (* -1 c))))) (* -1 (* a (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -1 (* a (* c (- (* -2 c) (* -1 c))))) (* -1 (* a (pow c 2)))) (pow b 4))) (+ (* 1/2 (/ (- (* -2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a))))))) |
(* -4 (* a b)) |
(* -1 (* b (+ (* -4 (/ (* (pow a 2) c) (pow b 2))) (* 4 a)))) |
(* -1 (* b (+ (* -4 (/ (* (pow a 2) c) (pow b 2))) (+ (* -4 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 4 a))))) |
(* -1 (* b (+ (* -8 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -4 (/ (* (pow a 2) c) (pow b 2))) (+ (* -4 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 4 a)))))) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c) |
(/ (+ (* -1/2 b) (* c (- (* -1 (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c) |
(/ (+ (* -1/2 b) (* c (- (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) a)) (/ (pow a 3) (pow b 5)))))) (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(/ (+ (* -1/2 (/ (pow b 3) (pow a 2))) (* 1/2 (* c (- (* 2 (/ b a)) (* -1 (/ b a)))))) c) |
(/ (+ (* -1/2 (/ (pow b 3) (pow a 2))) (* c (+ (* 1/2 (* c (- (* 2 (/ 1 b)) (/ (* a (- (* 2 (/ b a)) (* -1 (/ b a)))) (pow b 2))))) (* 1/2 (- (* 2 (/ b a)) (* -1 (/ b a))))))) c) |
(/ (+ (* -1/2 (/ (pow b 3) (pow a 2))) (* c (+ (* 1/2 (- (* 2 (/ b a)) (* -1 (/ b a)))) (* c (+ (* -1/2 (* c (+ (* -1/4 (/ (* (pow b 3) (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 3))) (+ (* 2 (/ (* (pow a 2) (- (* 2 (/ b a)) (* -1 (/ b a)))) (pow b 4))) (/ (* a (- (* 2 (/ 1 b)) (/ (* a (- (* 2 (/ b a)) (* -1 (/ b a)))) (pow b 2)))) (pow b 2)))))) (* 1/2 (- (* 2 (/ 1 b)) (/ (* a (- (* 2 (/ b a)) (* -1 (/ b a)))) (pow b 2))))))))) c) |
(* -4 c) |
(* c (+ (* -4 (/ (* (pow a 3) c) (pow b 3))) (* -4 (/ (pow a 2) b)))) |
(* c (+ (* -4 (/ (pow a 2) b)) (* c (+ (* -8 (/ (* (pow a 4) c) (pow b 5))) (* -4 (/ (pow a 3) (pow b 3))))))) |
(* c (+ (* -4 (/ (pow a 2) b)) (* c (+ (* -4 (/ (pow a 3) (pow b 3))) (* c (+ (* -8 (/ (pow a 4) (pow b 5))) (* -1 (/ (* a (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) b)))))))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -4))) (/ b (pow (sqrt -4) 2))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (pow (sqrt -4) 2)))) c) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (pow (sqrt -4) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) c) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 1/2 (/ (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ c a)) (/ (* b (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4))))) (pow c 2))) (* 1/2 (/ (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ c a)) (/ (* b (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4))))) (pow c 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* (pow b 2) (* c (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))))) (* a (pow (sqrt -4) 2)))) (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ c a)) (/ (* b (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))))) (sqrt -4)))) (pow c 3))) (* 1/2 (/ (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c))))) |
(* c (+ (* -4 a) (* 2 (/ (pow b 2) c)))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -2 (/ (* a b) c)) (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))))) |
(* c (+ (* -2 (/ (* a b) c)) (+ (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))))) |
(* c (+ (* -2 (/ (* a b) c)) (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4))))))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (/ (+ (* 1/4 b) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) (* 1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* (pow b 3) c) a)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* 1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(+ (* -1/2 (/ (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* 1/2 (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) (* 1/2 (/ (+ (* -1/8 (/ (* (pow b 2) (* c (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) c))) c)) (* 1/2 (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* -2 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* 2 (/ (* a b) c)) (* 4 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -2 (* a b)) (* -1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) c)) (* 4 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -2 (* a b)) (* -1 (/ (+ (* -1/32 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 4 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 37.0ms | a | @ | 0 | ((/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (neg b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (* (/ a b) -2) c) (* (/ a b) -2) (* (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ 1/2 a) (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (+ (* b b) (+ (* (* -4 c) a) (* b b))) (+ (* (* -4 c) a) (* b b)) (* -4 c) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) |
| 9.0ms | c | @ | 0 | ((/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (neg b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (* (/ a b) -2) c) (* (/ a b) -2) (* (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ 1/2 a) (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (+ (* b b) (+ (* (* -4 c) a) (* b b))) (+ (* (* -4 c) a) (* b b)) (* -4 c) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) |
| 7.0ms | b | @ | inf | ((/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (neg b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (* (/ a b) -2) c) (* (/ a b) -2) (* (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ 1/2 a) (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (+ (* b b) (+ (* (* -4 c) a) (* b b))) (+ (* (* -4 c) a) (* b b)) (* -4 c) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) |
| 6.0ms | a | @ | inf | ((/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (neg b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (* (/ a b) -2) c) (* (/ a b) -2) (* (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ 1/2 a) (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (+ (* b b) (+ (* (* -4 c) a) (* b b))) (+ (* (* -4 c) a) (* b b)) (* -4 c) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) |
| 6.0ms | c | @ | inf | ((/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (neg b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (* (/ a b) -2) c) (* (/ a b) -2) (* (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ 1/2 a) (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (+ (* b b) (+ (* (* -4 c) a) (* b b))) (+ (* (* -4 c) a) (* b b)) (* -4 c) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1337 | 7227 |
| 1 | 4512 | 6951 |
| 0 | 8158 | 6668 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -1/2 (/ b c)) |
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) |
(+ (* -1/2 (/ b c)) (* a (+ (* -1 (* a (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) |
(+ (* -1/2 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (/ (pow c 2) (pow b 5)))))) (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* -1 (/ b a)) |
(* -2 (/ a b)) |
(/ 1/2 a) |
(* -1/2 (/ (pow b 3) (* (pow a 2) c))) |
(/ (+ (* -1/2 (/ (pow b 3) c)) (* 1/2 (* a (- (* 2 b) (* -1 b))))) (pow a 2)) |
(/ (+ (* -1/2 (/ (pow b 3) c)) (* a (+ (* -1/2 (* a (+ (* -2 (/ c b)) (/ (* c (- (* 2 b) (* -1 b))) (pow b 2))))) (* 1/2 (- (* 2 b) (* -1 b)))))) (pow a 2)) |
(/ (+ (* -1/2 (/ (pow b 3) c)) (* a (+ (* 1/2 (- (* 2 b) (* -1 b))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* c (+ (* -2 (/ c b)) (/ (* c (- (* 2 b) (* -1 b))) (pow b 2)))) (pow b 2))) (+ (* -1/4 (/ (* (pow b 3) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* 2 b) (* -1 b))) (pow b 4))))))) (* -1/2 (+ (* -2 (/ c b)) (/ (* c (- (* 2 b) (* -1 b))) (pow b 2))))))))) (pow a 2)) |
(* 2 (pow b 2)) |
(+ (* -4 (* a c)) (* 2 (pow b 2))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (/ (* (pow a 2) c) b)) |
(* (pow a 2) (+ (* -4 (/ c b)) (* -4 (/ (* a (pow c 2)) (pow b 3))))) |
(* (pow a 2) (+ (* -4 (/ c b)) (* a (+ (* -8 (/ (* a (pow c 3)) (pow b 5))) (* -4 (/ (pow c 2) (pow b 3))))))) |
(* (pow a 2) (+ (* -4 (/ c b)) (* a (+ (* -4 (/ (pow c 2) (pow b 3))) (* a (+ (* -8 (/ (pow c 3) (pow b 5))) (* -1 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) 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)) (/ 1 (sqrt -4))) |
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2)))) |
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (* c (pow (sqrt -4) 2))))) |
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (pow a 2))) (* 1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a)))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (pow a 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))))) (sqrt -4)))) (pow a 3))) (* 1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a))))) a) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (* 2 (/ (pow b 2) a)))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) |
(* (pow a 2) (+ (* -2 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -4))))) |
(* (pow a 2) (+ (* -2 (/ b a)) (+ (* 2 (* (sqrt (/ c a)) (sqrt -4))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(* (pow a 2) (+ (* -2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ c a)) (sqrt -4))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -1/2 (* (sqrt (/ a c)) (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ a c)) (sqrt -1))) (* -1/4 (/ b c))) |
(+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1)))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/32 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1)))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 (/ (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b))) (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (* a (* (pow b 2) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a)) (* 1/2 (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))) a))) a)) |
(* -1 (* a (+ (* -2 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -4 (* (sqrt (* (pow a 3) c)) (sqrt -1))) |
(* (pow a 2) (+ (* -4 (* (sqrt (/ c a)) (sqrt -1))) (* -2 (/ b a)))) |
(* (pow a 2) (+ (* -4 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 2 b)) a)))) |
(* (pow a 2) (+ (* -4 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/32 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 2 b)) a)))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(+ (* b (+ (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(+ (* b (+ (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(* -1 b) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (- (* 1/2 (* b (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (- (* b (+ (* 1/2 (* b (- (* 2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))) (sqrt -4))))))) (* 1/2 (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* -2 (* a b)) (* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))) |
(+ (* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (+ (* -2 a) (* (sqrt (/ a c)) (/ b (sqrt -4)))))) |
(+ (* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (+ (* -2 a) (* b (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))))))) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* b (- (* -1 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))) |
(* b (- (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (* (pow a 3) (pow c 2)))) (pow b 6))) (+ (* -1 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (+ (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (* 1/2 (/ 1 c))))))) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* (pow b 3) (- (* 3/2 (/ 1 (* a (pow b 2)))) (* 1/2 (/ 1 (* (pow a 2) c))))) |
(* (pow b 3) (- (+ (* -1/2 (/ (+ (* -2 c) (* 3 c)) (pow b 4))) (/ 3/2 (* a (pow b 2)))) (* 1/2 (/ 1 (* (pow a 2) c))))) |
(* (pow b 3) (- (+ (* -1/2 (/ (+ (* -2 c) (* 3 c)) (pow b 4))) (+ (* -1/2 (/ (+ (* -1 (* a (* c (+ (* -2 c) (* 3 c))))) (+ (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 6 (* a (pow c 2))))) (pow b 6))) (/ 3/2 (* a (pow b 2))))) (* 1/2 (/ 1 (* (pow a 2) c))))) |
(* (pow b 2) (+ 2 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(/ (+ (* -4 (* (pow a 2) c)) (* -4 (/ (* (pow a 3) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -8 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -4 (* (pow a 2) c)) (* -4 (/ (* (pow a 3) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -8 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -4 (* (pow a 2) c)) (+ (* -4 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* -1 (/ (* a (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4))))) (pow b 6)))))) 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)))))) |
(* -1/2 (/ a b)) |
(* -1 (/ (+ (* 1/2 a) (* 1/2 (/ (* (pow a 2) c) (pow b 2)))) b)) |
(* -1 (/ (- (+ (* 1/2 a) (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2)))) b)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -2 (* (pow a 4) (pow c 3))) (* -1/2 (* (pow a 4) (pow c 3)))) (pow b 6))) (* 1/2 a)) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2))))) b)) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1/2 (/ b a)) |
(* -1 (* b (+ (* 1/2 (/ (- (* -2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ (+ (* -1 (* a (* c (- (* -2 c) (* -1 c))))) (* -1 (* a (pow c 2)))) (pow b 4))) (+ (* 1/2 (/ (- (* -2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a)))))) |
(* -1 (* b (+ (* -1/2 (/ (+ (* -2 (* (pow a 2) (pow c 3))) (+ (* -1 (* (pow a 2) (* (pow c 2) (- (* -2 c) (* -1 c))))) (* a (* c (+ (* -1 (* a (* c (- (* -2 c) (* -1 c))))) (* -1 (* a (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -1 (* a (* c (- (* -2 c) (* -1 c))))) (* -1 (* a (pow c 2)))) (pow b 4))) (+ (* 1/2 (/ (- (* -2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a))))))) |
(* -4 (* a b)) |
(* -1 (* b (+ (* -4 (/ (* (pow a 2) c) (pow b 2))) (* 4 a)))) |
(* -1 (* b (+ (* -4 (/ (* (pow a 2) c) (pow b 2))) (+ (* -4 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 4 a))))) |
(* -1 (* b (+ (* -8 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -4 (/ (* (pow a 2) c) (pow b 2))) (+ (* -4 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 4 a)))))) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c) |
(/ (+ (* -1/2 b) (* c (- (* -1 (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c) |
(/ (+ (* -1/2 b) (* c (- (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) a)) (/ (pow a 3) (pow b 5)))))) (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(/ (+ (* -1/2 (/ (pow b 3) (pow a 2))) (* 1/2 (* c (- (* 2 (/ b a)) (* -1 (/ b a)))))) c) |
(/ (+ (* -1/2 (/ (pow b 3) (pow a 2))) (* c (+ (* 1/2 (* c (- (* 2 (/ 1 b)) (/ (* a (- (* 2 (/ b a)) (* -1 (/ b a)))) (pow b 2))))) (* 1/2 (- (* 2 (/ b a)) (* -1 (/ b a))))))) c) |
(/ (+ (* -1/2 (/ (pow b 3) (pow a 2))) (* c (+ (* 1/2 (- (* 2 (/ b a)) (* -1 (/ b a)))) (* c (+ (* -1/2 (* c (+ (* -1/4 (/ (* (pow b 3) (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 3))) (+ (* 2 (/ (* (pow a 2) (- (* 2 (/ b a)) (* -1 (/ b a)))) (pow b 4))) (/ (* a (- (* 2 (/ 1 b)) (/ (* a (- (* 2 (/ b a)) (* -1 (/ b a)))) (pow b 2)))) (pow b 2)))))) (* 1/2 (- (* 2 (/ 1 b)) (/ (* a (- (* 2 (/ b a)) (* -1 (/ b a)))) (pow b 2))))))))) c) |
(* -4 c) |
(* c (+ (* -4 (/ (* (pow a 3) c) (pow b 3))) (* -4 (/ (pow a 2) b)))) |
(* c (+ (* -4 (/ (pow a 2) b)) (* c (+ (* -8 (/ (* (pow a 4) c) (pow b 5))) (* -4 (/ (pow a 3) (pow b 3))))))) |
(* c (+ (* -4 (/ (pow a 2) b)) (* c (+ (* -4 (/ (pow a 3) (pow b 3))) (* c (+ (* -8 (/ (pow a 4) (pow b 5))) (* -1 (/ (* a (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) b)))))))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -4))) (/ b (pow (sqrt -4) 2))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (pow (sqrt -4) 2)))) c) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (pow (sqrt -4) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) c) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 1/2 (/ (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ c a)) (/ (* b (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4))))) (pow c 2))) (* 1/2 (/ (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ c a)) (/ (* b (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4))))) (pow c 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* (pow b 2) (* c (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))))) (* a (pow (sqrt -4) 2)))) (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ c a)) (/ (* b (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))))) (sqrt -4)))) (pow c 3))) (* 1/2 (/ (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c))))) |
(* c (+ (* -4 a) (* 2 (/ (pow b 2) c)))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -2 (/ (* a b) c)) (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))))) |
(* c (+ (* -2 (/ (* a b) c)) (+ (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))))) |
(* c (+ (* -2 (/ (* a b) c)) (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4))))))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (/ (+ (* 1/4 b) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) (* 1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* (pow b 3) c) a)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* 1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(+ (* -1/2 (/ (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* 1/2 (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) (* 1/2 (/ (+ (* -1/8 (/ (* (pow b 2) (* c (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) c))) c)) (* 1/2 (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* -2 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* 2 (/ (* a b) c)) (* 4 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -2 (* a b)) (* -1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) c)) (* 4 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -2 (* a b)) (* -1 (/ (+ (* -1/32 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 4 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))) |
| Outputs |
|---|
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal -2 binary64) (/.f64 (*.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 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 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) |
(* -1/2 (/ b c)) |
(*.f64 (/.f64 b c) #s(literal -1/2 binary64)) |
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) |
(fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ b c)) (* a (+ (* -1 (* a (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64)) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (/ (pow c 2) (pow b 5)))))) (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (neg.f64 c) (*.f64 (/.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) b) (/.f64 #s(literal -1/2 binary64) b)) (fma.f64 (/.f64 #s(literal -1/8 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64))) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -1/2 binary64))) |
(* -2 (/ (* a c) b)) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c b) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))))) a) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c b) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))))) a b) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a b) |
(* -1 (/ b a)) |
(/.f64 (neg.f64 b) a) |
(* -2 (/ a b)) |
(*.f64 (/.f64 a b) #s(literal -2 binary64)) |
(/ 1/2 a) |
(/.f64 #s(literal 1/2 binary64) a) |
(* -1/2 (/ (pow b 3) (* (pow a 2) c))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a a)) (/.f64 (pow.f64 b #s(literal 3 binary64)) c)) |
(/ (+ (* -1/2 (/ (pow b 3) c)) (* 1/2 (* a (- (* 2 b) (* -1 b))))) (pow a 2)) |
(/.f64 (fma.f64 (*.f64 (*.f64 b #s(literal 3 binary64)) a) #s(literal 1/2 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (*.f64 a a)) |
(/ (+ (* -1/2 (/ (pow b 3) c)) (* a (+ (* -1/2 (* a (+ (* -2 (/ c b)) (/ (* c (- (* 2 b) (* -1 b))) (pow b 2))))) (* 1/2 (- (* 2 b) (* -1 b)))))) (pow a 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (fma.f64 (/.f64 (*.f64 b #s(literal 3 binary64)) b) (/.f64 c b) (*.f64 #s(literal -2 binary64) (/.f64 c b))) (*.f64 (*.f64 b #s(literal 3 binary64)) #s(literal 1/2 binary64))) a (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (*.f64 a a)) |
(/ (+ (* -1/2 (/ (pow b 3) c)) (* a (+ (* 1/2 (- (* 2 b) (* -1 b))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* c (+ (* -2 (/ c b)) (/ (* c (- (* 2 b) (* -1 b))) (pow b 2)))) (pow b 2))) (+ (* -1/4 (/ (* (pow b 3) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* 2 b) (* -1 b))) (pow b 4))))))) (* -1/2 (+ (* -2 (/ c b)) (/ (* c (- (* 2 b) (* -1 b))) (pow b 2))))))))) (pow a 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 c (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b #s(literal 3 binary64)) b) (/.f64 c b) (*.f64 #s(literal -2 binary64) (/.f64 c b))) (*.f64 b b))) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 c c)) #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b #s(literal 3 binary64)) (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)))) a (fma.f64 (/.f64 (*.f64 b #s(literal 3 binary64)) b) (/.f64 c b) (*.f64 #s(literal -2 binary64) (/.f64 c b))))) a (*.f64 (*.f64 b #s(literal 3 binary64)) #s(literal 1/2 binary64))) a (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (*.f64 a a)) |
(* 2 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 2 binary64)) |
(+ (* -4 (* a c)) (* 2 (pow b 2))) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 (*.f64 b b) #s(literal 2 binary64))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(* -4 (/ (* (pow a 2) c) b)) |
(*.f64 (/.f64 (*.f64 (*.f64 a a) c) b) #s(literal -4 binary64)) |
(* (pow a 2) (+ (* -4 (/ c b)) (* -4 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (*.f64 #s(literal -4 binary64) (+.f64 (/.f64 c b) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))))) (*.f64 a a)) |
(* (pow a 2) (+ (* -4 (/ c b)) (* a (+ (* -8 (/ (* a (pow c 3)) (pow b 5))) (* -4 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -4 binary64) (/.f64 c b))) (*.f64 a a)) |
(* (pow a 2) (+ (* -4 (/ c b)) (* a (+ (* -4 (/ (pow c 2) (pow b 3))) (* a (+ (* -8 (/ (pow c 3) (pow b 5))) (* -1 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.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 -8 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -4 binary64) (/.f64 c b))) (*.f64 a a)) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64)) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64)))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/16 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64))))) |
(* (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))) |
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(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -4 binary64))) #s(literal 2 binary64) (*.f64 (*.f64 a (/.f64 b c)) #s(literal -2 binary64))) c) |
(* c (+ (* -2 (/ (* a b) c)) (+ (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))))) |
(*.f64 (fma.f64 (*.f64 a (/.f64 b c)) #s(literal -2 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -4 binary64))) #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 3 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))))) c) |
(* c (+ (* -2 (/ (* a b) c)) (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4))))))) |
(*.f64 (fma.f64 (*.f64 a (/.f64 b c)) #s(literal -2 binary64) (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) a)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -4 binary64))) #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 3 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))))))) c) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(*.f64 (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) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (/.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) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 #s(literal -1/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 c))) (neg.f64 c))) (neg.f64 c)) |
(* -1 (/ (+ (* 1/4 b) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) b)) (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 (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/16 binary64) (*.f64 (*.f64 b c) #s(literal -1/4 binary64))) (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 (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) c) a) #s(literal 1/32 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/16 binary64))) (*.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))))) c) #s(literal -1 binary64) (*.f64 (*.f64 b c) #s(literal -1/4 binary64))) (neg.f64 c))) (neg.f64 c)) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64) (/.f64 b c)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (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 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) (neg.f64 c)) b) c)) (neg.f64 c)) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64))) (neg.f64 c)) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64)))) (neg.f64 c)) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/512 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64))))) (neg.f64 c)) |
(+ (* -1/2 (/ (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (neg.f64 b) (/.f64 c a))) c) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))) |
(+ (* -1 (/ (+ (* 1/2 (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (neg.f64 b) (/.f64 c a))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (neg.f64 b) (/.f64 c a)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) #s(literal 1/4 binary64))) c))) (neg.f64 c))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) (* 1/2 (/ (+ (* -1/8 (/ (* (pow b 2) (* c (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) c))) c)) (* 1/2 (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (neg.f64 b) (/.f64 c a))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (neg.f64 b) (/.f64 c a)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) #s(literal 1/4 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (neg.f64 b) (/.f64 c a)))) a) #s(literal -1/8 binary64))) c) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (neg.f64 b) (/.f64 c a)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) #s(literal 1/4 binary64))) #s(literal -1/2 binary64))) (neg.f64 c))) (neg.f64 c))) |
(* -1 (* c (+ (* -2 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 b b) c) #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) a)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 (fma.f64 #s(literal 4 binary64) a (/.f64 (*.f64 b b) (neg.f64 c))) (neg.f64 c)) |
(* -1 (* c (+ (* 2 (/ (* a b) c)) (* 4 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c))) #s(literal 4 binary64) (*.f64 (*.f64 a (/.f64 b c)) #s(literal 2 binary64))) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (+ (* -2 (* a b)) (* -1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) c)) (* 4 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 b a) #s(literal -2 binary64))) (neg.f64 c))) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (+ (* -2 (* a b)) (* -1 (/ (+ (* -1/32 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 4 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) a) b (/.f64 (fma.f64 (*.f64 #s(literal -1/32 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) (neg.f64 c))) (neg.f64 c))) (neg.f64 c)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 216 |
| 0 | 58 | 216 |
| 1 | 209 | 210 |
| 2 | 1600 | 210 |
| 0 | 8593 | 210 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.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 (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 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
(/.f64 (neg.f64 b) a) |
(neg.f64 b) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c) |
(*.f64 (/.f64 a b) #s(literal -2 binary64)) |
(*.f64 (/.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 (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))) |
(fma.f64 b b (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) |
(*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
| Outputs |
|---|
(*.f64 (pow.f64 (*.f64 (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) #s(literal -2 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) |
(*.f64 (/.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (*.f64 b b)) #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) |
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(*.f64 (/.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) #s(literal -1/2 binary64))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.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 (*.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)))))) |
(/.f64 #s(literal 1 binary64) (/.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 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) a) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) #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)) |
(neg.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))) |
(fma.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 (*.f64 #s(literal 2 binary64) a) (neg.f64 b))) |
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a) (*.f64 (neg.f64 b) (*.f64 #s(literal 2 binary64) a))) |
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))) |
(+.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (*.f64 (neg.f64 b) (*.f64 #s(literal 2 binary64) a))) |
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 (*.f64 #s(literal 2 binary64) a) (neg.f64 b))) |
Compiled 71 873 to 5 324 computations (92.6% saved)
27 alts after pruning (24 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 684 | 21 | 1 705 |
| Fresh | 5 | 3 | 8 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 691 | 27 | 1 718 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 45.8% | (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) |
| 30.9% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) | |
| 27.4% | (/.f64 #s(approx (+ (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 #s(literal -4 binary64) (*.f64 c a))) (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) | |
| ✓ | 47.9% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
| 37.0% | (/.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))))) | |
| 39.0% | (/.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))))) | |
| 38.6% | (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -1/2 binary64)))) | |
| ✓ | 47.9% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
| 32.2% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 a b)) c))) | |
| 44.3% | (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))) | |
| 6.5% | #s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (fma.f64 (/.f64 (*.f64 b #s(literal 3 binary64)) b) (/.f64 c b) (*.f64 #s(literal -2 binary64) (/.f64 c b))) (*.f64 (*.f64 b #s(literal 3 binary64)) #s(literal 1/2 binary64))) a (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (*.f64 a a))) | |
| 2.2% | #s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (pow.f64 b #s(literal 3 binary64)) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) b) (*.f64 (/.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) b) (/.f64 a b))) c (*.f64 (/.f64 b a) #s(literal 3 binary64)))) c)) c)) | |
| 7.0% | #s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/.f64 (fma.f64 (*.f64 (*.f64 b #s(literal 3 binary64)) a) #s(literal 1/2 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (*.f64 a a))) | |
| ▶ | 3.0% | #s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) (*.f64 (/.f64 b a) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (pow.f64 b #s(literal 3 binary64)) a))) c)) |
| 6.0% | #s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (fma.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64))) #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 b b) a)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) c)))) (pow.f64 b #s(literal 3 binary64)))) | |
| 12.4% | #s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) | |
| ▶ | 11.9% | #s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))) (neg.f64 b))) |
| 30.5% | #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))) | |
| ▶ | 21.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (*.f64 (neg.f64 b) b) b) a)) |
| 2.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64))) (neg.f64 b)) a)) | |
| 21.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a))) | |
| 14.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b a) (/.f64 b a))) (+.f64 #s(literal 0 binary64) (/.f64 b a)))) | |
| ▶ | 38.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
| ✓ | 30.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
| 30.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b))) | |
| 30.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 b (/.f64 #s(literal -1 binary64) a))) | |
| 30.3% | #s(approx (/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (neg.f64 b))) |
Compiled 1 704 to 1 099 computations (35.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) c) | |
| cost-diff | 0 | (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) (*.f64 (/.f64 b a) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (pow.f64 b #s(literal 3 binary64)) a))) c) | |
| cost-diff | 0 | #s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) (*.f64 (/.f64 b a) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (pow.f64 b #s(literal 3 binary64)) a))) c)) | |
| cost-diff | 7168 | (fma.f64 (*.f64 #s(literal 1/2 binary64) c) (*.f64 (/.f64 b a) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (pow.f64 b #s(literal 3 binary64)) a))) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) | |
| cost-diff | 0 | #s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))) (neg.f64 b))) | |
| cost-diff | 128 | (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))) | |
| cost-diff | 640 | (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))) (neg.f64 b)) | |
| cost-diff | 0 | (*.f64 (neg.f64 b) b) | |
| cost-diff | 0 | (/.f64 (/.f64 (*.f64 (neg.f64 b) b) b) a) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (*.f64 (neg.f64 b) b) b) a)) | |
| cost-diff | 1024 | (/.f64 (*.f64 (neg.f64 b) b) b) | |
| cost-diff | 0 | (neg.f64 c) | |
| cost-diff | 0 | (/.f64 (neg.f64 c) b) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) | |
| cost-diff | 0 | (*.f64 c #s(literal -4 binary64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) | |
| cost-diff | 896 | (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 359 |
| 0 | 89 | 351 |
| 1 | 168 | 343 |
| 2 | 360 | 332 |
| 3 | 879 | 320 |
| 4 | 2508 | 315 |
| 5 | 5345 | 315 |
| 0 | 8518 | 309 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) |
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) |
(*.f64 c #s(literal -4 binary64)) |
c |
#s(literal -4 binary64) |
a |
(*.f64 b b) |
b |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal -1/2 binary64) (/.f64 b a)) |
#s(literal -1/2 binary64) |
(/.f64 b a) |
#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 (neg.f64 b) b) b) a)) |
(/.f64 (/.f64 (*.f64 (neg.f64 b) b) b) a) |
(/.f64 (*.f64 (neg.f64 b) b) b) |
(*.f64 (neg.f64 b) b) |
(neg.f64 b) |
b |
a |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))) (neg.f64 b))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))) (neg.f64 b)) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))) |
#s(literal 1/2 binary64) |
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) |
(/.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
a |
(/.f64 c (*.f64 b b)) |
c |
(*.f64 b b) |
b |
(neg.f64 b) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) (*.f64 (/.f64 b a) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (pow.f64 b #s(literal 3 binary64)) a))) c)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) (*.f64 (/.f64 b a) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (pow.f64 b #s(literal 3 binary64)) a))) c) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) c) (*.f64 (/.f64 b a) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (pow.f64 b #s(literal 3 binary64)) a))) |
(*.f64 #s(literal 1/2 binary64) c) |
#s(literal 1/2 binary64) |
c |
(*.f64 (/.f64 b a) #s(literal 3 binary64)) |
(/.f64 b a) |
b |
a |
#s(literal 3 binary64) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (pow.f64 b #s(literal 3 binary64)) a)) |
(/.f64 #s(literal -1/2 binary64) a) |
#s(literal -1/2 binary64) |
(/.f64 (pow.f64 b #s(literal 3 binary64)) a) |
(pow.f64 b #s(literal 3 binary64)) |
| Outputs |
|---|
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b)) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) |
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) |
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) |
(*.f64 c #s(literal -4 binary64)) |
(*.f64 #s(literal -4 binary64) c) |
c |
#s(literal -4 binary64) |
a |
(*.f64 b b) |
b |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal -1/2 binary64) (/.f64 b a)) |
(*.f64 (/.f64 b a) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(/.f64 b a) |
#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 (neg.f64 b) b) b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
(/.f64 (/.f64 (*.f64 (neg.f64 b) b) b) a) |
(/.f64 (neg.f64 b) a) |
(/.f64 (*.f64 (neg.f64 b) b) b) |
(neg.f64 b) |
(*.f64 (neg.f64 b) b) |
(neg.f64 b) |
b |
a |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))) (neg.f64 b))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (-.f64 (/.f64 b a) (/.f64 c b)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))) (neg.f64 b)) |
(*.f64 (-.f64 (/.f64 b a) (/.f64 c b)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))) |
(fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) a)) |
#s(literal 1/2 binary64) |
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) |
(/.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
a |
(/.f64 c (*.f64 b b)) |
c |
(*.f64 b b) |
b |
(neg.f64 b) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) (*.f64 (/.f64 b a) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (pow.f64 b #s(literal 3 binary64)) a))) c)) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/.f64 (*.f64 (/.f64 b a) (fma.f64 #s(literal 3/2 binary64) c (*.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) b))) c)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) (*.f64 (/.f64 b a) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (pow.f64 b #s(literal 3 binary64)) a))) c) |
(/.f64 (*.f64 (/.f64 b a) (fma.f64 #s(literal 3/2 binary64) c (*.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) b))) c) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) c) (*.f64 (/.f64 b a) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (pow.f64 b #s(literal 3 binary64)) a))) |
(*.f64 (/.f64 b a) (fma.f64 #s(literal 3/2 binary64) c (*.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) b))) |
(*.f64 #s(literal 1/2 binary64) c) |
#s(literal 1/2 binary64) |
c |
(*.f64 (/.f64 b a) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (/.f64 b a)) |
(/.f64 b a) |
b |
a |
#s(literal 3 binary64) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (pow.f64 b #s(literal 3 binary64)) a)) |
(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) a) a) (pow.f64 b #s(literal 3 binary64))) |
(/.f64 #s(literal -1/2 binary64) a) |
#s(literal -1/2 binary64) |
(/.f64 (pow.f64 b #s(literal 3 binary64)) a) |
(pow.f64 b #s(literal 3 binary64)) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 4.897906563164232 | (/.f64 (pow.f64 b #s(literal 3 binary64)) a) | |
| accuracy | 5.352012661566707 | (fma.f64 (*.f64 #s(literal 1/2 binary64) c) (*.f64 (/.f64 b a) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (pow.f64 b #s(literal 3 binary64)) a))) | |
| accuracy | 7.724926294043935 | (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) (*.f64 (/.f64 b a) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (pow.f64 b #s(literal 3 binary64)) a))) c) | |
| accuracy | 36.22089102640241 | #s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) (*.f64 (/.f64 b a) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (pow.f64 b #s(literal 3 binary64)) a))) c)) | |
| accuracy | 0.00390625 | (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) | |
| accuracy | 5.612231328411262 | (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))) (neg.f64 b)) | |
| accuracy | 7.245498825457899 | (/.f64 c (*.f64 b b)) | |
| accuracy | 42.23408792548623 | #s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))) (neg.f64 b))) | |
| accuracy | 0.0 | (*.f64 (neg.f64 b) b) | |
| accuracy | 0.0 | (neg.f64 b) | |
| accuracy | 28.009232044759074 | (/.f64 (*.f64 (neg.f64 b) b) b) | |
| accuracy | 44.35362730507154 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (*.f64 (neg.f64 b) b) b) a)) | |
| accuracy | 0.0 | (/.f64 (neg.f64 c) b) | |
| accuracy | 0.0 | (neg.f64 c) | |
| accuracy | 39.21273774342986 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) | |
| accuracy | 0.00390625 | (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) | |
| accuracy | 0.24476089264450002 | (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) | |
| accuracy | 22.732094045281396 | (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) | |
| accuracy | 22.906050635579092 | (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) |
| 73.0ms | 163× | 0 | valid |
| 65.0ms | 38× | 1 | valid |
| 63.0ms | 48× | 2 | valid |
| 8.0ms | 7× | 3 | valid |
Compiled 676 to 116 computations (82.8% saved)
ival-div: 46.0ms (27% of total)ival-mult: 33.0ms (19.3% of total)ival-sqrt: 33.0ms (19.3% of total)ival-sub: 26.0ms (15.2% of total)ival-add: 11.0ms (6.4% of total)adjust: 10.0ms (5.9% of total)ival-pow: 5.0ms (2.9% of total)ival-neg: 5.0ms (2.9% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) |
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) |
(*.f64 c #s(literal -4 binary64)) |
#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) |
(/.f64 (*.f64 (neg.f64 b) b) b) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (*.f64 (neg.f64 b) b) b) a)) |
(/.f64 (/.f64 (*.f64 (neg.f64 b) b) b) a) |
(*.f64 (neg.f64 b) b) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))) (neg.f64 b)) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))) (neg.f64 b))) |
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) c) (*.f64 (/.f64 b a) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (pow.f64 b #s(literal 3 binary64)) a))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) (*.f64 (/.f64 b a) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (pow.f64 b #s(literal 3 binary64)) a))) c)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) (*.f64 (/.f64 b a) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (pow.f64 b #s(literal 3 binary64)) a))) c) |
(*.f64 #s(literal 1/2 binary64) c) |
(*.f64 #s(literal -1/2 binary64) (/.f64 b a)) |
(neg.f64 b) |
(/.f64 c (*.f64 b b)) |
(/.f64 (pow.f64 b #s(literal 3 binary64)) a) |
| Outputs |
|---|
(/ (+ (* -1/2 b) (* 1/2 b)) a) |
(/ (+ (* -1 (/ (* a c) b)) (+ (* -1/2 b) (* 1/2 b))) a) |
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))) a) |
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))) a) |
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 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -1 (/ b a)) |
(* -1/2 (/ b a)) |
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) a) |
(/ 1/2 a) |
(/ (+ 1/2 (* -1/2 (/ (* a c) (pow b 2)))) a) |
(* -1/2 (/ (pow b 3) (* (pow a 2) c))) |
(/ (+ (* -1/2 (/ (pow b 3) c)) (* 1/2 (* a (- (* 2 b) (* -1 b))))) (pow a 2)) |
(/ (+ (* -1/2 (/ (pow b 3) c)) (* a (+ (* -1/2 (* a (+ (* -2 (/ c b)) (/ (* c (- (* 2 b) (* -1 b))) (pow b 2))))) (* 1/2 (- (* 2 b) (* -1 b)))))) (pow a 2)) |
(/ (+ (* -1/2 (/ (pow b 3) c)) (* a (+ (* 1/2 (- (* 2 b) (* -1 b))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* c (+ (* -2 (/ c b)) (/ (* c (- (* 2 b) (* -1 b))) (pow b 2)))) (pow b 2))) (+ (* -1/4 (/ (* (pow b 3) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* 2 b) (* -1 b))) (pow b 4))))))) (* -1/2 (+ (* -2 (/ c b)) (/ (* c (- (* 2 b) (* -1 b))) (pow b 2))))))))) (pow a 2)) |
(/ 1 a) |
(/ (+ 1 (* -1 (/ (* a c) (pow b 2)))) a) |
(* -1/2 (/ (pow b 3) (pow a 2))) |
(/ (+ (* -1/2 (pow b 3)) (* 3/2 (* a (* b c)))) (pow a 2)) |
(/ (+ (* -1/2 (/ (pow b 3) c)) (* 3/2 (* a b))) (pow a 2)) |
(/ (pow b 3) a) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (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))) |
(* 1/2 (/ c b)) |
(+ (* -1/2 (/ b a)) (* 1/2 (/ c b))) |
(* -1/2 (/ c (pow b 2))) |
(+ (* -1/2 (/ c (pow b 2))) (* 1/2 (/ 1 a))) |
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (pow a 2))) (* 1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a)))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (pow a 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))))) (sqrt -4)))) (pow a 3))) (* 1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a))))) a) |
(* -1 (/ c (pow b 2))) |
(- (/ 1 a) (/ c (pow b 2))) |
(* 3/2 (/ (* b c) a)) |
(/ (+ (* -1/2 (/ (pow b 3) a)) (* 3/2 (* b c))) a) |
(* 3/2 (/ b a)) |
(/ (+ (* -1/2 (/ (pow b 3) (* a c))) (* 3/2 b)) a) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 (/ (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b))) (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (* a (* (pow b 2) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a)) (* 1/2 (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))) a))) a)) |
(* -1 (/ (+ (* -3/2 (* b c)) (* 1/2 (/ (pow b 3) a))) a)) |
(* -1 (/ (+ (* -3/2 b) (* 1/2 (/ (pow b 3) (* a c)))) a)) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (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)) |
(/ (+ (* -1/2 (/ (pow b 2) a)) (* 1/2 c)) b) |
(/ (+ (* -1/2 c) (* 1/2 (/ (pow b 2) a))) (pow b 2)) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (- (* 1/2 (* b (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (- (* b (+ (* 1/2 (* b (- (* 2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))) (sqrt -4))))))) (* 1/2 (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(/ (- (/ (pow b 2) a) c) (pow b 2)) |
(* b (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* 3/2 (/ c a)))) |
(* b (+ (* -1/2 (/ (pow b 2) (* (pow a 2) c))) (* 3/2 (/ 1 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))))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* b (- (* 1/2 (/ c (pow b 2))) (* 1/2 (/ 1 a)))) |
(* (pow b 3) (- (* 3/2 (/ 1 (* a (pow b 2)))) (* 1/2 (/ 1 (* (pow a 2) c))))) |
(* (pow b 3) (- (+ (* -1/2 (/ (+ (* -2 c) (* 3 c)) (pow b 4))) (/ 3/2 (* a (pow b 2)))) (* 1/2 (/ 1 (* (pow a 2) c))))) |
(* (pow b 3) (- (+ (* -1/2 (/ (+ (* -2 c) (* 3 c)) (pow b 4))) (+ (* -1/2 (/ (+ (* -1 (* a (* c (+ (* -2 c) (* 3 c))))) (+ (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 6 (* a (pow c 2))))) (pow b 6))) (/ 3/2 (* a (pow b 2))))) (* 1/2 (/ 1 (* (pow a 2) c))))) |
(+ (* -1 (/ c (pow b 2))) (/ 1 a)) |
(* (pow b 3) (- (* 3/2 (/ c (* a (pow b 2)))) (* 1/2 (/ 1 (pow a 2))))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 1/2 (/ 1 a))))) |
(* -1 (* b (+ (* 1/2 (/ (- (* -2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ (+ (* -1 (* a (* c (- (* -2 c) (* -1 c))))) (* -1 (* a (pow c 2)))) (pow b 4))) (+ (* 1/2 (/ (- (* -2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a)))))) |
(* -1 (* b (+ (* -1/2 (/ (+ (* -2 (* (pow a 2) (pow c 3))) (+ (* -1 (* (pow a 2) (* (pow c 2) (- (* -2 c) (* -1 c))))) (* a (* c (+ (* -1 (* a (* c (- (* -2 c) (* -1 c))))) (* -1 (* a (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -1 (* a (* c (- (* -2 c) (* -1 c))))) (* -1 (* a (pow c 2)))) (pow b 4))) (+ (* 1/2 (/ (- (* -2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a))))))) |
(* -1 (* (pow b 3) (+ (* -3/2 (/ c (* a (pow b 2)))) (* 1/2 (/ 1 (pow a 2)))))) |
(* -1 (* (pow b 3) (- (* 1/2 (/ 1 (* (pow a 2) c))) (* 3/2 (/ 1 (* a (pow b 2))))))) |
(+ (* -1/2 (/ b a)) (* 1/2 (/ b a))) |
(+ (* -1 (/ c b)) (+ (* -1/2 (/ b a)) (* 1/2 (/ b a)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/2 (/ b a)) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))))) |
(+ (* -1/2 (/ b a)) (+ (* 1/2 (/ b a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 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)))))))) |
(* -4 c) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* -1 c) |
(/ (+ (* -1/2 (/ (pow b 3) (pow a 2))) (* 1/2 (* c (- (* 2 (/ b a)) (* -1 (/ b a)))))) c) |
(/ (+ (* -1/2 (/ (pow b 3) (pow a 2))) (* c (+ (* 1/2 (* c (- (* 2 (/ 1 b)) (/ (* a (- (* 2 (/ b a)) (* -1 (/ b a)))) (pow b 2))))) (* 1/2 (- (* 2 (/ b a)) (* -1 (/ b a))))))) c) |
(/ (+ (* -1/2 (/ (pow b 3) (pow a 2))) (* c (+ (* 1/2 (- (* 2 (/ b a)) (* -1 (/ b a)))) (* c (+ (* -1/2 (* c (+ (* -1/4 (/ (* (pow b 3) (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 3))) (+ (* 2 (/ (* (pow a 2) (- (* 2 (/ b a)) (* -1 (/ b a)))) (pow b 4))) (/ (* a (- (* 2 (/ 1 b)) (/ (* a (- (* 2 (/ b a)) (* -1 (/ b a)))) (pow b 2)))) (pow b 2)))))) (* 1/2 (- (* 2 (/ 1 b)) (/ (* a (- (* 2 (/ b a)) (* -1 (/ b a)))) (pow b 2))))))))) c) |
(+ (* -1/2 (/ (pow b 3) (pow a 2))) (* 3/2 (/ (* b c) a))) |
(/ (+ (* -1/2 (/ (pow b 3) (pow a 2))) (* 3/2 (/ (* b c) a))) c) |
(* 1/2 c) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* c (+ (* 1/2 (* (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 (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))) |
(* c (- (* 1/2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 1/2 (/ (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ c a)) (/ (* b (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4))))) (pow c 2))) (* 1/2 (/ (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ c a)) (/ (* b (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4))))) (pow c 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* (pow b 2) (* c (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))))) (* a (pow (sqrt -4) 2)))) (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ c a)) (/ (* b (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))))) (sqrt -4)))) (pow c 3))) (* 1/2 (/ (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c))))) |
(* c (- (/ 1 (* a c)) (/ 1 (pow b 2)))) |
(* c (+ (* -1/2 (/ (pow b 3) (* (pow a 2) c))) (* 3/2 (/ b a)))) |
(+ (* -1/2 (/ (pow b 3) (* (pow a 2) c))) (* 3/2 (/ b 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)))))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))) |
(* -1 (* c (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c)))))) |
(+ (* -1/2 (/ (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* 1/2 (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) (* 1/2 (/ (+ (* -1/8 (/ (* (pow b 2) (* c (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) c))) c)) (* 1/2 (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (- (/ 1 (pow b 2)) (/ 1 (* a c))))) |
(* -1 (* c (+ (* -3/2 (/ b a)) (* 1/2 (/ (pow b 3) (* (pow a 2) c)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 23.0ms | a | @ | inf | ((+ (* (sqrt (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (* -1/2 (/ b a))) (sqrt (+ (* (* c -4) a) (* b b))) (+ (* (* c -4) a) (* b b)) (* c -4) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (/ (* (neg b) b) b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (/ (* (neg b) b) b) a) (* (neg b) b) (* (* 1/2 (- (/ 1 a) (/ c (* b b)))) (neg b)) (* 1/2 (- (/ 1 a) (/ c (* b b)))) (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (- (/ 1 a) (/ c (* b b))) (+ (* (* 1/2 c) (* (/ b a) 3)) (* (/ -1/2 a) (/ (pow b 3) a))) (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ (+ (* (* 1/2 c) (* (/ b a) 3)) (* (/ -1/2 a) (/ (pow b 3) a))) c) (* 1/2 c) (* -1/2 (/ b a)) (neg b) (/ c (* b b)) (/ (pow b 3) a)) |
| 6.0ms | b | @ | inf | ((+ (* (sqrt (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (* -1/2 (/ b a))) (sqrt (+ (* (* c -4) a) (* b b))) (+ (* (* c -4) a) (* b b)) (* c -4) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (/ (* (neg b) b) b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (/ (* (neg b) b) b) a) (* (neg b) b) (* (* 1/2 (- (/ 1 a) (/ c (* b b)))) (neg b)) (* 1/2 (- (/ 1 a) (/ c (* b b)))) (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (- (/ 1 a) (/ c (* b b))) (+ (* (* 1/2 c) (* (/ b a) 3)) (* (/ -1/2 a) (/ (pow b 3) a))) (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ (+ (* (* 1/2 c) (* (/ b a) 3)) (* (/ -1/2 a) (/ (pow b 3) a))) c) (* 1/2 c) (* -1/2 (/ b a)) (neg b) (/ c (* b b)) (/ (pow b 3) a)) |
| 5.0ms | b | @ | 0 | ((+ (* (sqrt (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (* -1/2 (/ b a))) (sqrt (+ (* (* c -4) a) (* b b))) (+ (* (* c -4) a) (* b b)) (* c -4) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (/ (* (neg b) b) b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (/ (* (neg b) b) b) a) (* (neg b) b) (* (* 1/2 (- (/ 1 a) (/ c (* b b)))) (neg b)) (* 1/2 (- (/ 1 a) (/ c (* b b)))) (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (- (/ 1 a) (/ c (* b b))) (+ (* (* 1/2 c) (* (/ b a) 3)) (* (/ -1/2 a) (/ (pow b 3) a))) (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ (+ (* (* 1/2 c) (* (/ b a) 3)) (* (/ -1/2 a) (/ (pow b 3) a))) c) (* 1/2 c) (* -1/2 (/ b a)) (neg b) (/ c (* b b)) (/ (pow b 3) a)) |
| 5.0ms | c | @ | -inf | ((+ (* (sqrt (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (* -1/2 (/ b a))) (sqrt (+ (* (* c -4) a) (* b b))) (+ (* (* c -4) a) (* b b)) (* c -4) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (/ (* (neg b) b) b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (/ (* (neg b) b) b) a) (* (neg b) b) (* (* 1/2 (- (/ 1 a) (/ c (* b b)))) (neg b)) (* 1/2 (- (/ 1 a) (/ c (* b b)))) (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (- (/ 1 a) (/ c (* b b))) (+ (* (* 1/2 c) (* (/ b a) 3)) (* (/ -1/2 a) (/ (pow b 3) a))) (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ (+ (* (* 1/2 c) (* (/ b a) 3)) (* (/ -1/2 a) (/ (pow b 3) a))) c) (* 1/2 c) (* -1/2 (/ b a)) (neg b) (/ c (* b b)) (/ (pow b 3) a)) |
| 4.0ms | c | @ | inf | ((+ (* (sqrt (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (* -1/2 (/ b a))) (sqrt (+ (* (* c -4) a) (* b b))) (+ (* (* c -4) a) (* b b)) (* c -4) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (/ (* (neg b) b) b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (/ (* (neg b) b) b) a) (* (neg b) b) (* (* 1/2 (- (/ 1 a) (/ c (* b b)))) (neg b)) (* 1/2 (- (/ 1 a) (/ c (* b b)))) (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (- (/ 1 a) (/ c (* b b))) (+ (* (* 1/2 c) (* (/ b a) 3)) (* (/ -1/2 a) (/ (pow b 3) a))) (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ (+ (* (* 1/2 c) (* (/ b a) 3)) (* (/ -1/2 a) (/ (pow b 3) a))) c) (* 1/2 c) (* -1/2 (/ b a)) (neg b) (/ c (* b b)) (/ (pow b 3) a)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 901 | 4818 |
| 1 | 2886 | 4571 |
| 0 | 8987 | 4378 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (* -1/2 b) (* 1/2 b)) a) |
(/ (+ (* -1 (/ (* a c) b)) (+ (* -1/2 b) (* 1/2 b))) a) |
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))) a) |
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))) a) |
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 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -1 (/ b a)) |
(* -1/2 (/ b a)) |
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) a) |
(/ 1/2 a) |
(/ (+ 1/2 (* -1/2 (/ (* a c) (pow b 2)))) a) |
(* -1/2 (/ (pow b 3) (* (pow a 2) c))) |
(/ (+ (* -1/2 (/ (pow b 3) c)) (* 1/2 (* a (- (* 2 b) (* -1 b))))) (pow a 2)) |
(/ (+ (* -1/2 (/ (pow b 3) c)) (* a (+ (* -1/2 (* a (+ (* -2 (/ c b)) (/ (* c (- (* 2 b) (* -1 b))) (pow b 2))))) (* 1/2 (- (* 2 b) (* -1 b)))))) (pow a 2)) |
(/ (+ (* -1/2 (/ (pow b 3) c)) (* a (+ (* 1/2 (- (* 2 b) (* -1 b))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* c (+ (* -2 (/ c b)) (/ (* c (- (* 2 b) (* -1 b))) (pow b 2)))) (pow b 2))) (+ (* -1/4 (/ (* (pow b 3) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* 2 b) (* -1 b))) (pow b 4))))))) (* -1/2 (+ (* -2 (/ c b)) (/ (* c (- (* 2 b) (* -1 b))) (pow b 2))))))))) (pow a 2)) |
(/ 1 a) |
(/ (+ 1 (* -1 (/ (* a c) (pow b 2)))) a) |
(* -1/2 (/ (pow b 3) (pow a 2))) |
(/ (+ (* -1/2 (pow b 3)) (* 3/2 (* a (* b c)))) (pow a 2)) |
(/ (+ (* -1/2 (/ (pow b 3) c)) (* 3/2 (* a b))) (pow a 2)) |
(/ (pow b 3) a) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (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))) |
(* 1/2 (/ c b)) |
(+ (* -1/2 (/ b a)) (* 1/2 (/ c b))) |
(* -1/2 (/ c (pow b 2))) |
(+ (* -1/2 (/ c (pow b 2))) (* 1/2 (/ 1 a))) |
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (pow a 2))) (* 1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a)))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (pow a 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))))) (sqrt -4)))) (pow a 3))) (* 1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a))))) a) |
(* -1 (/ c (pow b 2))) |
(- (/ 1 a) (/ c (pow b 2))) |
(* 3/2 (/ (* b c) a)) |
(/ (+ (* -1/2 (/ (pow b 3) a)) (* 3/2 (* b c))) a) |
(* 3/2 (/ b a)) |
(/ (+ (* -1/2 (/ (pow b 3) (* a c))) (* 3/2 b)) a) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 (/ (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b))) (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (* a (* (pow b 2) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a)) (* 1/2 (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))) a))) a)) |
(* -1 (/ (+ (* -3/2 (* b c)) (* 1/2 (/ (pow b 3) a))) a)) |
(* -1 (/ (+ (* -3/2 b) (* 1/2 (/ (pow b 3) (* a c)))) a)) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (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)) |
(/ (+ (* -1/2 (/ (pow b 2) a)) (* 1/2 c)) b) |
(/ (+ (* -1/2 c) (* 1/2 (/ (pow b 2) a))) (pow b 2)) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (- (* 1/2 (* b (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (- (* b (+ (* 1/2 (* b (- (* 2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))) (sqrt -4))))))) (* 1/2 (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(/ (- (/ (pow b 2) a) c) (pow b 2)) |
(* b (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* 3/2 (/ c a)))) |
(* b (+ (* -1/2 (/ (pow b 2) (* (pow a 2) c))) (* 3/2 (/ 1 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))))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* b (- (* 1/2 (/ c (pow b 2))) (* 1/2 (/ 1 a)))) |
(* (pow b 3) (- (* 3/2 (/ 1 (* a (pow b 2)))) (* 1/2 (/ 1 (* (pow a 2) c))))) |
(* (pow b 3) (- (+ (* -1/2 (/ (+ (* -2 c) (* 3 c)) (pow b 4))) (/ 3/2 (* a (pow b 2)))) (* 1/2 (/ 1 (* (pow a 2) c))))) |
(* (pow b 3) (- (+ (* -1/2 (/ (+ (* -2 c) (* 3 c)) (pow b 4))) (+ (* -1/2 (/ (+ (* -1 (* a (* c (+ (* -2 c) (* 3 c))))) (+ (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 6 (* a (pow c 2))))) (pow b 6))) (/ 3/2 (* a (pow b 2))))) (* 1/2 (/ 1 (* (pow a 2) c))))) |
(+ (* -1 (/ c (pow b 2))) (/ 1 a)) |
(* (pow b 3) (- (* 3/2 (/ c (* a (pow b 2)))) (* 1/2 (/ 1 (pow a 2))))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 1/2 (/ 1 a))))) |
(* -1 (* b (+ (* 1/2 (/ (- (* -2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ (+ (* -1 (* a (* c (- (* -2 c) (* -1 c))))) (* -1 (* a (pow c 2)))) (pow b 4))) (+ (* 1/2 (/ (- (* -2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a)))))) |
(* -1 (* b (+ (* -1/2 (/ (+ (* -2 (* (pow a 2) (pow c 3))) (+ (* -1 (* (pow a 2) (* (pow c 2) (- (* -2 c) (* -1 c))))) (* a (* c (+ (* -1 (* a (* c (- (* -2 c) (* -1 c))))) (* -1 (* a (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -1 (* a (* c (- (* -2 c) (* -1 c))))) (* -1 (* a (pow c 2)))) (pow b 4))) (+ (* 1/2 (/ (- (* -2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a))))))) |
(* -1 (* (pow b 3) (+ (* -3/2 (/ c (* a (pow b 2)))) (* 1/2 (/ 1 (pow a 2)))))) |
(* -1 (* (pow b 3) (- (* 1/2 (/ 1 (* (pow a 2) c))) (* 3/2 (/ 1 (* a (pow b 2))))))) |
(+ (* -1/2 (/ b a)) (* 1/2 (/ b a))) |
(+ (* -1 (/ c b)) (+ (* -1/2 (/ b a)) (* 1/2 (/ b a)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/2 (/ b a)) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))))) |
(+ (* -1/2 (/ b a)) (+ (* 1/2 (/ b a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 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)))))))) |
(* -4 c) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* -1 c) |
(/ (+ (* -1/2 (/ (pow b 3) (pow a 2))) (* 1/2 (* c (- (* 2 (/ b a)) (* -1 (/ b a)))))) c) |
(/ (+ (* -1/2 (/ (pow b 3) (pow a 2))) (* c (+ (* 1/2 (* c (- (* 2 (/ 1 b)) (/ (* a (- (* 2 (/ b a)) (* -1 (/ b a)))) (pow b 2))))) (* 1/2 (- (* 2 (/ b a)) (* -1 (/ b a))))))) c) |
(/ (+ (* -1/2 (/ (pow b 3) (pow a 2))) (* c (+ (* 1/2 (- (* 2 (/ b a)) (* -1 (/ b a)))) (* c (+ (* -1/2 (* c (+ (* -1/4 (/ (* (pow b 3) (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 3))) (+ (* 2 (/ (* (pow a 2) (- (* 2 (/ b a)) (* -1 (/ b a)))) (pow b 4))) (/ (* a (- (* 2 (/ 1 b)) (/ (* a (- (* 2 (/ b a)) (* -1 (/ b a)))) (pow b 2)))) (pow b 2)))))) (* 1/2 (- (* 2 (/ 1 b)) (/ (* a (- (* 2 (/ b a)) (* -1 (/ b a)))) (pow b 2))))))))) c) |
(+ (* -1/2 (/ (pow b 3) (pow a 2))) (* 3/2 (/ (* b c) a))) |
(/ (+ (* -1/2 (/ (pow b 3) (pow a 2))) (* 3/2 (/ (* b c) a))) c) |
(* 1/2 c) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* c (+ (* 1/2 (* (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 (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))) |
(* c (- (* 1/2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 1/2 (/ (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ c a)) (/ (* b (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4))))) (pow c 2))) (* 1/2 (/ (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ c a)) (/ (* b (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4))))) (pow c 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* (pow b 2) (* c (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))))) (* a (pow (sqrt -4) 2)))) (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ c a)) (/ (* b (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))))) (sqrt -4)))) (pow c 3))) (* 1/2 (/ (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c))))) |
(* c (- (/ 1 (* a c)) (/ 1 (pow b 2)))) |
(* c (+ (* -1/2 (/ (pow b 3) (* (pow a 2) c))) (* 3/2 (/ b a)))) |
(+ (* -1/2 (/ (pow b 3) (* (pow a 2) c))) (* 3/2 (/ b 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)))))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))) |
(* -1 (* c (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c)))))) |
(+ (* -1/2 (/ (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* 1/2 (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) (* 1/2 (/ (+ (* -1/8 (/ (* (pow b 2) (* c (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) c))) c)) (* 1/2 (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (- (/ 1 (pow b 2)) (/ 1 (* a c))))) |
(* -1 (* c (+ (* -3/2 (/ b a)) (* 1/2 (/ (pow b 3) (* (pow a 2) c)))))) |
| Outputs |
|---|
(/ (+ (* -1/2 b) (* 1/2 b)) a) |
(/.f64 #s(literal 0 binary64) a) |
(/ (+ (* -1 (/ (* a c) b)) (+ (* -1/2 b) (* 1/2 b))) a) |
(/.f64 (*.f64 (neg.f64 a) (/.f64 c b)) a) |
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))) a) |
(/.f64 (*.f64 (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a) a) |
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))) a) |
(/.f64 (*.f64 (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)) a) 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 (*.f64 #s(literal -4 binary64) a) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)))) a b) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 (fma.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 20 binary64) a)) b) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) |
(* -1 (/ b a)) |
(/.f64 (neg.f64 b) a) |
(* -1/2 (/ b a)) |
(*.f64 (/.f64 b a) #s(literal -1/2 binary64)) |
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) a) |
(/.f64 (fma.f64 (/.f64 (*.f64 a c) b) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) b)) a) |
(/ 1/2 a) |
(/.f64 #s(literal 1/2 binary64) a) |
(/ (+ 1/2 (* -1/2 (/ (* a c) (pow b 2)))) a) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64)) a) |
(* -1/2 (/ (pow b 3) (* (pow a 2) c))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a a)) (/.f64 (pow.f64 b #s(literal 3 binary64)) c)) |
(/ (+ (* -1/2 (/ (pow b 3) c)) (* 1/2 (* a (- (* 2 b) (* -1 b))))) (pow a 2)) |
(/.f64 (fma.f64 (*.f64 #s(literal 3/2 binary64) a) b (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (*.f64 a a)) |
(/ (+ (* -1/2 (/ (pow b 3) c)) (* a (+ (* -1/2 (* a (+ (* -2 (/ c b)) (/ (* c (- (* 2 b) (* -1 b))) (pow b 2))))) (* 1/2 (- (* 2 b) (* -1 b)))))) (pow a 2)) |
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(* -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 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/128 binary64)))) (neg.f64 c))) (neg.f64 c))) (neg.f64 c)) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))) (neg.f64 c)) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))) (neg.f64 c)) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 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 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 (/ (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 (* c (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))) |
(*.f64 (fma.f64 (/.f64 b c) (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)) (neg.f64 c)) |
(* -1 (* c (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c)))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) (*.f64 a c))) (neg.f64 c)) |
(+ (* -1/2 (/ (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b) (*.f64 (neg.f64 b) (/.f64 c a))) c) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))) |
(+ (* -1 (/ (+ (* 1/2 (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b) (fma.f64 (neg.f64 b) (/.f64 c a) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b) (*.f64 (neg.f64 b) (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))) b (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b)) (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))))) c)))) c)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) (* 1/2 (/ (+ (* -1/8 (/ (* (pow b 2) (* c (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) c))) c)) (* 1/2 (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b) (*.f64 (neg.f64 b) (/.f64 c a))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b) (*.f64 (neg.f64 b) (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))) b (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b)) (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b) (*.f64 (neg.f64 b) (/.f64 c a)))) a) #s(literal -1/8 binary64))) c) #s(literal 1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b)) #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b) (*.f64 (neg.f64 b) (/.f64 c a)))) #s(literal 1/4 binary64)))) (neg.f64 c))) (neg.f64 c))) |
(* -1 (* c (- (/ 1 (pow b 2)) (/ 1 (* a c))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (neg.f64 c)) |
(* -1 (* c (+ (* -3/2 (/ b a)) (* 1/2 (/ (pow b 3) (* (pow a 2) c)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) c) (/.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 a a)) (*.f64 #s(literal -3/2 binary64) (/.f64 b a))) (neg.f64 c)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 298 |
| 0 | 89 | 290 |
| 1 | 360 | 282 |
| 2 | 2880 | 275 |
| 0 | 9196 | 273 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) |
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) |
(*.f64 c #s(literal -4 binary64)) |
#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) |
(/.f64 (*.f64 (neg.f64 b) b) b) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (*.f64 (neg.f64 b) b) b) a)) |
(/.f64 (/.f64 (*.f64 (neg.f64 b) b) b) a) |
(*.f64 (neg.f64 b) b) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))) (neg.f64 b)) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))) (neg.f64 b))) |
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) c) (*.f64 (/.f64 b a) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (pow.f64 b #s(literal 3 binary64)) a))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) (*.f64 (/.f64 b a) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (pow.f64 b #s(literal 3 binary64)) a))) c)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) (*.f64 (/.f64 b a) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (pow.f64 b #s(literal 3 binary64)) a))) c) |
(*.f64 #s(literal 1/2 binary64) c) |
(*.f64 #s(literal -1/2 binary64) (/.f64 b a)) |
(neg.f64 b) |
(/.f64 c (*.f64 b b)) |
(/.f64 (pow.f64 b #s(literal 3 binary64)) a) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal -2 binary64)) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (pow.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) b)) a) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 a b) #s(literal -3 binary64)) #s(literal -1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal -2 binary64)) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (*.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) b) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 1/2 binary64))) a))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) b)) a) (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal -2 binary64)) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (pow.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal -2 binary64)) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (*.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) b) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 1/2 binary64))) a))) (fma.f64 (pow.f64 (/.f64 a b) #s(literal -3 binary64)) #s(literal -1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal -2 binary64)) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) b)) a)) (*.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) b)) a) (pow.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (*.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) b)) a) (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) b)) a))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal -2 binary64)) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) b) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 1/2 binary64))) a)) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal -2 binary64)) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (pow.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) b)) a))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 a b) #s(literal -3 binary64)) #s(literal -1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal -2 binary64)) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (*.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) b) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 1/2 binary64))) a))))) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 1/2 binary64)) a (*.f64 a (*.f64 #s(literal -1/2 binary64) b))) (*.f64 a a)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) a (*.f64 a (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 1/2 binary64)))) (*.f64 a a)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal -2 binary64)) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (pow.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) b)) a)) |
(/.f64 (fma.f64 (pow.f64 (/.f64 a b) #s(literal -3 binary64)) #s(literal -1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 a b) #s(literal -2 binary64)) #s(literal 1/4 binary64) (/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) b))) (*.f64 a a)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 a b) #s(literal -3 binary64)) #s(literal -1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal -2 binary64)) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (*.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) b) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 1/2 binary64))) a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) b)) a) (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal -2 binary64)) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (pow.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal -2 binary64)) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (*.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) b) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 1/2 binary64))) a))) (fma.f64 (pow.f64 (/.f64 a b) #s(literal -3 binary64)) #s(literal -1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64))))) |
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(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) b) (*.f64 #s(literal 1/2 binary64) c)) (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) a)) #s(literal -1 binary64)) c) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 b a)) c) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) a) #s(literal 2 binary64)))) (pow.f64 c #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) b) (*.f64 #s(literal 1/2 binary64) c)) (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) a)) |
(/.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 b #s(literal 9 binary64)) #s(literal -1/8 binary64)) (pow.f64 a #s(literal -6 binary64)) (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 b a)) c) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (pow.f64 c #s(literal -1 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) c) (/.f64 b a)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/2 binary64)) (pow.f64 a #s(literal -2 binary64))) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) b) (*.f64 #s(literal 1/2 binary64) c))) a)))) |
(/.f64 (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) b) (*.f64 #s(literal 1/2 binary64) c)) (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) a) #s(literal 1 binary64)) c) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) b) (*.f64 #s(literal 1/2 binary64) c)) (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) a))) c) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 b a)) c) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) a) #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) b) (*.f64 #s(literal 1/2 binary64) c)) (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) a) c)) |
(/.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 b #s(literal 9 binary64)) #s(literal -1/8 binary64)) (pow.f64 a #s(literal -6 binary64)) (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 b a)) c) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) c) (/.f64 b a)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/2 binary64)) (pow.f64 a #s(literal -2 binary64))) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) b) (*.f64 #s(literal 1/2 binary64) c))) a))) c)) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) b) (*.f64 #s(literal 1/2 binary64) c)) (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) a) c) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 b a)) c) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) a) #s(literal 2 binary64)))) (*.f64 c (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) b) (*.f64 #s(literal 1/2 binary64) c)) (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) a))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 b #s(literal 9 binary64)) #s(literal -1/8 binary64)) (pow.f64 a #s(literal -6 binary64)) (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 b a)) c) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (*.f64 c (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) c) (/.f64 b a)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/2 binary64)) (pow.f64 a #s(literal -2 binary64))) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) b) (*.f64 #s(literal 1/2 binary64) c))) a))))) |
(/.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) b) (*.f64 #s(literal 1/2 binary64) c)) (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) a)) (neg.f64 c)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 c (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) b) (*.f64 #s(literal 1/2 binary64) c)) (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) b) (*.f64 #s(literal 1/2 binary64) c)) (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) a)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 c (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) b) (*.f64 #s(literal 1/2 binary64) c)) (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) a))) |
(neg.f64 (/.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) b) (*.f64 #s(literal 1/2 binary64) c)) (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) a)) c)) |
(neg.f64 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) b) (*.f64 #s(literal 1/2 binary64) c)) (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) a) (neg.f64 c))) |
(exp.f64 (*.f64 (log.f64 (/.f64 c (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) b) (*.f64 #s(literal 1/2 binary64) c)) (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) a))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/2 binary64) c) |
(*.f64 c #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) b) (pow.f64 a #s(literal -1 binary64))) |
(*.f64 (/.f64 b a) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 b a)) |
(*.f64 b (/.f64 #s(literal -1/2 binary64) a)) |
(pow.f64 (/.f64 a (*.f64 #s(literal -1/2 binary64) b)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 b) #s(literal -1/2 binary64)) (neg.f64 a)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 b)) (neg.f64 a)) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) b)) (neg.f64 a)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) b) a) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -1/2 binary64) b))) |
(/.f64 #s(literal -1/2 binary64) (/.f64 a b)) |
(*.f64 (pow.f64 b #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (neg.f64 b) b) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 b #s(literal -1 binary64)) (*.f64 (neg.f64 b) b)) |
(*.f64 #s(literal -1 binary64) b) |
(*.f64 #s(literal 1 binary64) (neg.f64 b)) |
(*.f64 (*.f64 (neg.f64 b) b) (pow.f64 b #s(literal -1 binary64))) |
(*.f64 (neg.f64 b) #s(literal 1 binary64)) |
(*.f64 (*.f64 b b) (pow.f64 (neg.f64 b) #s(literal -1 binary64))) |
(*.f64 b (*.f64 (neg.f64 b) (pow.f64 b #s(literal -1 binary64)))) |
(*.f64 b (/.f64 (neg.f64 b) b)) |
(*.f64 b #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (neg.f64 b) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (neg.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 b b) #s(literal -1 binary64)) b) |
(/.f64 (*.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)) b) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (neg.f64 b) #s(literal -1 binary64)))) |
(/.f64 (pow.f64 b #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (neg.f64 b) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 b) #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 b) b) (+.f64 #s(literal 0 binary64) b)) |
(/.f64 (*.f64 (neg.f64 b) b) b) |
(/.f64 (*.f64 b b) (neg.f64 b)) |
(neg.f64 b) |
(-.f64 #s(literal 0 binary64) b) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (neg.f64 b)) |
(*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (neg.f64 c) b)) |
(*.f64 (/.f64 c b) (pow.f64 b #s(literal -1 binary64))) |
(*.f64 (pow.f64 b #s(literal -1 binary64)) (/.f64 c b)) |
(*.f64 (pow.f64 b #s(literal -2 binary64)) (pow.f64 (pow.f64 c #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 b #s(literal -2 binary64)) c) |
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 c) b) b)) |
(*.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b b))) |
(*.f64 (neg.f64 c) (pow.f64 (*.f64 (neg.f64 b) b) #s(literal -1 binary64))) |
(*.f64 c (pow.f64 b #s(literal -2 binary64))) |
(pow.f64 (/.f64 b (/.f64 c b)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 b b) c) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 b b) c) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 b)) (*.f64 (*.f64 (neg.f64 b) b) (/.f64 c b))) (*.f64 (*.f64 (neg.f64 b) b) (neg.f64 b))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) c)) (*.f64 (*.f64 (neg.f64 b) b) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 b) b) (/.f64 (*.f64 b b) c))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (*.f64 b b) c))) (*.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64))) (*.f64 (*.f64 (neg.f64 b) b) (neg.f64 (/.f64 (*.f64 b b) c)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 (*.f64 (neg.f64 b) b) (/.f64 (neg.f64 c) b))) (pow.f64 b #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 (*.f64 (neg.f64 b) b) (neg.f64 c))) (*.f64 (*.f64 (neg.f64 b) b) (*.f64 b b))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 b) b)) (*.f64 (*.f64 (neg.f64 b) b) c)) (pow.f64 b #s(literal 4 binary64))) |
(/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 b b)) |
(/.f64 (/.f64 c b) b) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b b) c))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 c b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b b) c) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) c)) |
(/.f64 (/.f64 (neg.f64 c) b) (neg.f64 b)) |
(/.f64 (neg.f64 c) (*.f64 (neg.f64 b) b)) |
(/.f64 c (*.f64 b b)) |
(neg.f64 (/.f64 (/.f64 (neg.f64 c) b) b)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 b) b)) (/.f64 (/.f64 (neg.f64 c) b) b)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 b b) c)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 a #s(literal -1 binary64))) |
(*.f64 (pow.f64 b #s(literal 3/2 binary64)) (/.f64 (pow.f64 b #s(literal 3/2 binary64)) a)) |
(*.f64 (pow.f64 b #s(literal 3/2 binary64)) (*.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal -1 binary64)))) |
(*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (neg.f64 a) #s(literal -1 binary64))) |
(*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal -1 binary64))) |
(*.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (pow.f64 b #s(literal -3 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 3 binary64)) a)) |
(*.f64 (*.f64 b b) (/.f64 b a)) |
(*.f64 b (/.f64 (*.f64 b b) a)) |
(*.f64 b (*.f64 (*.f64 b b) (pow.f64 a #s(literal -1 binary64)))) |
(pow.f64 (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1 binary64)) a) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))))) |
(/.f64 (pow.f64 b #s(literal 3 binary64)) (neg.f64 (neg.f64 a))) |
(/.f64 (pow.f64 b #s(literal 3 binary64)) (neg.f64 a)) |
(/.f64 (pow.f64 b #s(literal 3 binary64)) a) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) |
(neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a)) |
(exp.f64 (fma.f64 (log.f64 b) #s(literal 3 binary64) (neg.f64 (log.f64 a)))) |
(exp.f64 (fma.f64 (log.f64 a) #s(literal -1 binary64) (*.f64 (log.f64 b) #s(literal 3 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -1 binary64))) |
Compiled 32 780 to 3 203 computations (90.2% saved)
29 alts after pruning (24 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 663 | 17 | 680 |
| Fresh | 12 | 7 | 19 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 678 | 29 | 707 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 45.8% | (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) |
| 30.9% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) | |
| 27.4% | (/.f64 #s(approx (+ (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 #s(literal -4 binary64) (*.f64 c a))) (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) | |
| ✓ | 47.9% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
| ▶ | 39.0% | (/.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))))) |
| ✓ | 47.9% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
| ▶ | 44.3% | (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))) |
| 2.4% | #s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) b) (*.f64 (/.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) b) (/.f64 a b))) (*.f64 #s(literal 1/2 binary64) c) (*.f64 #s(literal 3/2 binary64) (/.f64 b a))) c (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (pow.f64 b #s(literal 3 binary64)) a))) c)) | |
| 6.5% | #s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal -1/2 binary64)) (fma.f64 (/.f64 (*.f64 b #s(literal 3 binary64)) b) (/.f64 c b) (*.f64 #s(literal -2 binary64) (/.f64 c b))) (*.f64 #s(literal 3/2 binary64) b)) a (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (*.f64 a a))) | |
| 5.7% | #s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/.f64 #s(approx (+ (* (* 1/2 c) (* (/ b a) 3)) (* (/ -1/2 a) (/ (pow b 3) a))) (*.f64 (*.f64 b (/.f64 c a)) #s(literal 3/2 binary64))) c)) | |
| 6.0% | #s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (fma.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64))) #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 b b) a)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) c)))) (pow.f64 b #s(literal 3 binary64)))) | |
| 3.9% | #s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) c)) a) (*.f64 a (/.f64 (*.f64 b b) c)))) (neg.f64 b))) | |
| 3.8% | #s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) c)) (*.f64 (*.f64 (neg.f64 b) b) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 b) b) (/.f64 (*.f64 b b) c))))) (neg.f64 b))) | |
| 4.6% | #s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 b)) (*.f64 (*.f64 (neg.f64 b) b) (/.f64 c b))) (*.f64 (*.f64 (neg.f64 b) b) (neg.f64 b))))) (neg.f64 b))) | |
| ▶ | 4.6% | #s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 (*.f64 (neg.f64 b) b) (/.f64 (neg.f64 c) b))) (pow.f64 b #s(literal 3 binary64))))) (neg.f64 b))) |
| 5.9% | #s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 b b) c)) #s(literal -1 binary64))))) (neg.f64 b))) | |
| 10.6% | #s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 #s(approx (* 1/2 (- (/ 1 a) (/ c (* b b)))) (*.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64))) (neg.f64 b))) | |
| 7.4% | #s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (/ (+ (* (* 1/2 c) (* (/ b a) 3)) (* (/ -1/2 a) (/ (pow b 3) a))) c) (/.f64 (fma.f64 #s(literal -3/2 binary64) b (*.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) c) #s(literal 1/2 binary64))) (neg.f64 a)))) | |
| 2.7% | #s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (/ (+ (* (* 1/2 c) (* (/ b a) 3)) (* (/ -1/2 a) (/ (pow b 3) a))) c) (*.f64 #s(literal 3/2 binary64) (/.f64 b a)))) | |
| 11.8% | #s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ c (* b b)))) (neg b)) (/.f64 (fma.f64 (/.f64 (*.f64 a c) b) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) b)) a))) | |
| 11.4% | #s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ c (* b b)))) (neg b)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) b)) c))) | |
| 10.6% | #s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ c (* b b)))) (neg b)) (*.f64 (/.f64 c b) #s(literal 1/2 binary64)))) | |
| ▶ | 26.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 b c)) (*.f64 b b))) |
| ✓ | 38.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
| ✓ | 30.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
| 26.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (/.f64 b (*.f64 b a)))) | |
| 30.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 b (/.f64 #s(literal -1 binary64) a))) | |
| 30.3% | #s(approx (/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (neg.f64 b))) | |
| ▶ | 11.1% | #s(approx (+ (* (sqrt (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (* -1/2 (/ b a))) #s(literal 0 binary64)) |
Compiled 2 330 to 1 392 computations (40.3% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 320 | (*.f64 #s(literal 0 binary64) b) | |
| cost-diff | 832 | (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 (*.f64 (neg.f64 b) b) (/.f64 (neg.f64 c) b))) (pow.f64 b #s(literal 3 binary64))))) (neg.f64 b)) | |
| cost-diff | 1280 | (*.f64 (*.f64 (neg.f64 b) b) (/.f64 (neg.f64 c) b)) | |
| cost-diff | 6080 | (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 (*.f64 (neg.f64 b) b) (/.f64 (neg.f64 c) b))) (pow.f64 b #s(literal 3 binary64))) | |
| cost-diff | 0 | (/.f64 a b) | |
| cost-diff | 0 | (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))) | |
| cost-diff | 0 | #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)))) | |
| cost-diff | 0 | (/.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))))) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 b c)) (*.f64 b b))) | |
| cost-diff | 64 | (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 b c)) | |
| cost-diff | 320 | (*.f64 #s(literal 0 binary64) b) | |
| cost-diff | 640 | (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 b c)) (*.f64 b b)) | |
| cost-diff | 0 | #s(approx (+ (* (sqrt (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (* -1/2 (/ b a))) #s(literal 0 binary64)) | |
| cost-diff | 0 | (*.f64 #s(literal 4 binary64) a) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | |
| cost-diff | 128 | (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 1024 | (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 466 |
| 0 | 110 | 433 |
| 1 | 217 | 409 |
| 2 | 528 | 356 |
| 3 | 2452 | 347 |
| 4 | 5324 | 347 |
| 0 | 8343 | 342 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
a |
c |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))) |
#s(literal 1 binary64) |
(*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) |
(neg.f64 b) |
b |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) |
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) |
(*.f64 c #s(literal -4 binary64)) |
#s(literal -4 binary64) |
(*.f64 b b) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
#s(approx (+ (* (sqrt (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (* -1/2 (/ b a))) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 b c)) (*.f64 b b))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 b c)) (*.f64 b b)) |
(-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 b c)) |
(*.f64 #s(literal 0 binary64) b) |
#s(literal 0 binary64) |
b |
(*.f64 b c) |
c |
(*.f64 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))))) |
#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)))) |
(fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))) |
(/.f64 a b) |
a |
b |
(*.f64 (/.f64 b c) #s(literal -1/2 binary64)) |
(/.f64 b c) |
c |
#s(literal -1/2 binary64) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 (*.f64 (neg.f64 b) b) (/.f64 (neg.f64 c) b))) (pow.f64 b #s(literal 3 binary64))))) (neg.f64 b))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 (*.f64 (neg.f64 b) b) (/.f64 (neg.f64 c) b))) (pow.f64 b #s(literal 3 binary64))))) (neg.f64 b)) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 (*.f64 (neg.f64 b) b) (/.f64 (neg.f64 c) b))) (pow.f64 b #s(literal 3 binary64))))) |
#s(literal 1/2 binary64) |
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 (*.f64 (neg.f64 b) b) (/.f64 (neg.f64 c) b))) (pow.f64 b #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
a |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 (*.f64 (neg.f64 b) b) (/.f64 (neg.f64 c) b))) (pow.f64 b #s(literal 3 binary64))) |
(-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 (*.f64 (neg.f64 b) b) (/.f64 (neg.f64 c) b))) |
(*.f64 #s(literal 0 binary64) b) |
#s(literal 0 binary64) |
b |
(*.f64 (*.f64 (neg.f64 b) b) (/.f64 (neg.f64 c) b)) |
(*.f64 (neg.f64 b) b) |
(neg.f64 b) |
(/.f64 (neg.f64 c) b) |
(neg.f64 c) |
c |
(pow.f64 b #s(literal 3 binary64)) |
#s(literal 3 binary64) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (*.f64 c #s(literal 4 binary64))) |
(*.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 1 binary64) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.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)) |
#s(literal 1 binary64) |
(*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (*.f64 #s(literal -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 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(neg.f64 b) |
b |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 c #s(literal -4 binary64)) |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
(*.f64 b b) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
#s(approx (+ (* (sqrt (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (* -1/2 (/ b a))) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 b c)) (*.f64 b b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 b c)) (*.f64 b b)) |
(/.f64 c (neg.f64 b)) |
(-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 b c)) |
(*.f64 (neg.f64 b) c) |
(*.f64 #s(literal 0 binary64) b) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
b |
(*.f64 b c) |
c |
(*.f64 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))))) |
#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)))) |
(fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))) |
(/.f64 a b) |
a |
b |
(*.f64 (/.f64 b c) #s(literal -1/2 binary64)) |
(/.f64 b c) |
c |
#s(literal -1/2 binary64) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 (*.f64 (neg.f64 b) b) (/.f64 (neg.f64 c) b))) (pow.f64 b #s(literal 3 binary64))))) (neg.f64 b))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) b (/.f64 c b)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 (*.f64 (neg.f64 b) b) (/.f64 (neg.f64 c) b))) (pow.f64 b #s(literal 3 binary64))))) (neg.f64 b)) |
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) b (/.f64 c b)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 (*.f64 (neg.f64 b) b) (/.f64 (neg.f64 c) b))) (pow.f64 b #s(literal 3 binary64))))) |
(fma.f64 (/.f64 (/.f64 c b) b) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) a)) |
#s(literal 1/2 binary64) |
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 (*.f64 (neg.f64 b) b) (/.f64 (neg.f64 c) b))) (pow.f64 b #s(literal 3 binary64)))) |
(+.f64 (/.f64 (/.f64 c b) b) (/.f64 #s(literal 1 binary64) a)) |
(/.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
a |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 (*.f64 (neg.f64 b) b) (/.f64 (neg.f64 c) b))) (pow.f64 b #s(literal 3 binary64))) |
(/.f64 (/.f64 c (neg.f64 b)) b) |
(-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 (*.f64 (neg.f64 b) b) (/.f64 (neg.f64 c) b))) |
(*.f64 (neg.f64 b) c) |
(*.f64 #s(literal 0 binary64) b) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
b |
(*.f64 (*.f64 (neg.f64 b) b) (/.f64 (neg.f64 c) b)) |
(*.f64 b c) |
(*.f64 (neg.f64 b) b) |
(neg.f64 b) |
(/.f64 (neg.f64 c) b) |
(/.f64 c (neg.f64 b)) |
(neg.f64 c) |
c |
(pow.f64 b #s(literal 3 binary64)) |
#s(literal 3 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 5.623950078411262 | (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 (*.f64 (neg.f64 b) b) (/.f64 (neg.f64 c) b))) (pow.f64 b #s(literal 3 binary64))))) (neg.f64 b)) | |
| accuracy | 21.198733740434033 | (*.f64 (*.f64 (neg.f64 b) b) (/.f64 (neg.f64 c) b)) | |
| accuracy | 21.88412059390208 | (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 (*.f64 (neg.f64 b) b) (/.f64 (neg.f64 c) b))) (pow.f64 b #s(literal 3 binary64))) | |
| accuracy | 42.355472722722105 | #s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 (*.f64 (neg.f64 b) b) (/.f64 (neg.f64 c) b))) (pow.f64 b #s(literal 3 binary64))))) (neg.f64 b))) | |
| accuracy | 0.0 | (*.f64 (/.f64 b c) #s(literal -1/2 binary64)) | |
| accuracy | 0.20630177646244874 | (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))) | |
| accuracy | 0.2421875 | (/.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))))) | |
| accuracy | 39.16290514416088 | #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)))) | |
| accuracy | 0.0 | (*.f64 b b) | |
| accuracy | 0.0 | (*.f64 #s(literal 0 binary64) b) | |
| accuracy | 22.099692938092446 | (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 b c)) (*.f64 b b)) | |
| accuracy | 39.21273774342986 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 b c)) (*.f64 b b))) | |
| accuracy | 56.899061199136476 | #s(approx (+ (* (sqrt (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (* -1/2 (/ b a))) #s(literal 0 binary64)) | |
| accuracy | 0.34739117130850017 | (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 11.394533234160788 | (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) | |
| accuracy | 21.148954710172397 | (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))) | |
| accuracy | 22.906050635579092 | (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) |
| 109.0ms | 82× | 2 | valid |
| 77.0ms | 92× | 0 | valid |
| 64.0ms | 70× | 1 | valid |
| 17.0ms | 12× | 3 | valid |
Compiled 880 to 144 computations (83.6% saved)
ival-mult: 58.0ms (36.3% of total)ival-div: 31.0ms (19.4% of total)adjust: 22.0ms (13.8% of total)ival-sub: 15.0ms (9.4% of total)ival-add: 13.0ms (8.1% of total)ival-sqrt: 13.0ms (8.1% of total)ival-pow: 4.0ms (2.5% of total)ival-neg: 2.0ms (1.3% 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 #s(literal 4 binary64) a) c) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))) |
(*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 #s(literal 4 binary64) a) |
#s(approx (+ (* (sqrt (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (* -1/2 (/ b a))) #s(literal 0 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 b c)) (*.f64 b b)) |
(*.f64 #s(literal 0 binary64) b) |
(-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 b c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 b c)) (*.f64 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))))) |
#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)))) |
(fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))) |
(/.f64 a b) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 (*.f64 (neg.f64 b) b) (/.f64 (neg.f64 c) b))) (pow.f64 b #s(literal 3 binary64))) |
(*.f64 (*.f64 (neg.f64 b) b) (/.f64 (neg.f64 c) b)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 (*.f64 (neg.f64 b) b) (/.f64 (neg.f64 c) b))) (pow.f64 b #s(literal 3 binary64))))) (neg.f64 b)) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) |
(*.f64 b b) |
(*.f64 (/.f64 b c) #s(literal -1/2 binary64)) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 (*.f64 (neg.f64 b) b) (/.f64 (neg.f64 c) b))) (pow.f64 b #s(literal 3 binary64))))) (neg.f64 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))) (* 2 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7))))))))))) |
(* -4 (* a b)) |
(* a (+ (* -4 b) (* 4 (/ (* a c) b)))) |
(* a (+ (* -4 b) (* a (+ (* 4 (/ c b)) (* 4 (/ (* a (pow c 2)) (pow b 3))))))) |
(* a (+ (* -4 b) (* a (+ (* 4 (/ c b)) (* a (+ (* 4 (/ (pow c 2) (pow b 3))) (* 8 (/ (* a (pow c 3)) (pow b 5))))))))) |
(* 4 (* a c)) |
(* 4 a) |
(/ (+ (* -1/2 b) (* 1/2 b)) a) |
(/ (+ (* -1 (/ (* a c) b)) (+ (* -1/2 b) (* 1/2 b))) a) |
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))) a) |
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))) a) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -1/2 (/ b c)) |
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) |
(+ (* -1/2 (/ b c)) (* a (+ (* -1 (* a (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) |
(+ (* -1/2 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (/ (pow c 2) (pow b 5)))))) (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) |
(/ a b) |
(* -1/2 (/ b a)) |
(/ (+ (* -1/2 b) (* -1/2 (/ (* a c) b))) a) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
(* -1/2 (/ (pow b 3) (* (pow a 2) c))) |
(/ (+ (* -1/2 (/ (pow b 3) c)) (* 1/2 (* a (- (* 2 b) (* -1 b))))) (pow a 2)) |
(/ (+ (* -1/2 (/ (pow b 3) c)) (* a (+ (* -1/2 (* a (+ (* -2 (/ c b)) (/ (* c (- (* 2 b) (* -1 b))) (pow b 2))))) (* 1/2 (- (* 2 b) (* -1 b)))))) (pow a 2)) |
(/ (+ (* -1/2 (/ (pow b 3) c)) (* a (+ (* 1/2 (- (* 2 b) (* -1 b))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* c (+ (* -2 (/ c b)) (/ (* c (- (* 2 b) (* -1 b))) (pow b 2)))) (pow b 2))) (+ (* -1/4 (/ (* (pow b 3) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* 2 b) (* -1 b))) (pow b 4))))))) (* -1/2 (+ (* -2 (/ c b)) (/ (* c (- (* 2 b) (* -1 b))) (pow b 2))))))))) (pow a 2)) |
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4))))) (pow a 3))) (* 2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2)))))) a) |
(* -2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) |
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -4))) (* -2 (/ b a)))) |
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -2 (/ b a)) (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))) |
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -2 (/ b a)) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* (sqrt (/ a c)) (/ 1 (sqrt -4))) |
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2)))) |
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (* c (pow (sqrt -4) 2))))) |
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))) |
(* 1/2 (/ a b)) |
(* a (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ b a)) (* -1/2 (/ c b))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -1 (* (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))))) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (pow a 2))) (* 1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a)))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (pow a 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))))) (sqrt -4)))) (pow a 3))) (* 1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a))))) a) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (* a b))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow a 2) (pow b 3)) c))) a)) (* 2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (* a b))) a))) a)) |
(* 4 (* (sqrt (* (pow a 3) c)) (sqrt -1))) |
(* (pow a 2) (+ (* -2 (/ b a)) (* 4 (* (sqrt (/ c a)) (sqrt -1))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 2 b)) a)) (* 4 (* (sqrt (/ c a)) (sqrt -1))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 2 b)) a)) (* 4 (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -1/2 (* (sqrt (/ a c)) (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ a c)) (sqrt -1))) (* -1/4 (/ b c))) |
(+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1)))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/32 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1)))) |
(* -1 (* a (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -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 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 (/ (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b))) (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (* a (* (pow b 2) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a)) (* 1/2 (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))) a))) a)) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))))) (* 2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* -2 (* a b)) (* -2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))) |
(+ (* -2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (+ (* -2 a) (* -1 (* (sqrt (/ a c)) (/ b (sqrt -4))))))) |
(+ (* -2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (+ (* -2 a) (* b (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))))) |
(+ (* 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))))) |
0 |
(* -1 (* b c)) |
(+ (* 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 (/ (pow b 2) c)) (* 1/2 a)) b) |
(* -1 (/ c (pow b 2))) |
(* b c) |
(/ (+ (* -1/2 c) (* -1/2 (/ (pow b 2) a))) 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))))))))) |
(- (* -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) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (- (* 1/2 (* b (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (- (* b (+ (* 1/2 (* b (- (* 2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))) (sqrt -4))))))) (* 1/2 (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* 2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6)))))) b) |
(* b (+ (* -4 a) (* 4 (/ (* (pow a 2) c) (pow b 2))))) |
(* b (+ (* -4 a) (+ (* 4 (/ (* (pow a 2) c) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 2)) (pow b 4)))))) |
(* b (+ (* -4 a) (+ (* 4 (/ (* (pow a 2) c) (pow b 2))) (+ (* 4 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 8 (/ (* (pow a 4) (pow c 3)) (pow b 6))))))) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* b (- (* -1 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))) |
(* b (- (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (* (pow a 3) (pow c 2)))) (pow b 6))) (+ (* -1 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (+ (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (* 1/2 (/ 1 c))))))) |
(* b (- (* -1/2 (/ c (pow b 2))) (* 1/2 (/ 1 a)))) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* (pow b 3) (- (* 3/2 (/ 1 (* a (pow b 2)))) (* 1/2 (/ 1 (* (pow a 2) c))))) |
(* (pow b 3) (- (+ (* -1/2 (/ (+ (* -2 c) (* 3 c)) (pow b 4))) (/ 3/2 (* a (pow b 2)))) (* 1/2 (/ 1 (* (pow a 2) c))))) |
(* (pow b 3) (- (+ (* -1/2 (/ (+ (* -2 c) (* 3 c)) (pow b 4))) (+ (* -1/2 (/ (+ (* -1 (* a (* c (+ (* -2 c) (* 3 c))))) (+ (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 6 (* a (pow c 2))))) (pow b 6))) (/ 3/2 (* a (pow b 2))))) (* 1/2 (/ 1 (* (pow a 2) c))))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (+ (* -1 (/ c (pow b 2))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2)))))) (+ (* -1 (* (pow a 2) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (+ (* -2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (+ (* -1 (/ c (pow b 2))) (/ 1 a)))))) |
(* -4 (/ (* (pow a 2) c) b)) |
(* -1 (/ (+ (* 4 (* (pow a 2) c)) (* 4 (/ (* (pow a 3) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* 4 (* (pow a 2) c)) (+ (* 4 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* 8 (/ (* (pow a 4) (pow c 3)) (pow b 4))))) b)) |
(* -1 (/ (+ (* 4 (* (pow a 2) c)) (+ (* 4 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (+ (* 8 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (/ (* a (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4))))) (pow b 6))))) b)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -1/2 (/ a b)) |
(* -1 (/ (+ (* 1/2 a) (* 1/2 (/ (* (pow a 2) c) (pow b 2)))) b)) |
(* -1 (/ (- (+ (* 1/2 a) (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2)))) b)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -2 (* (pow a 4) (pow c 3))) (* -1/2 (* (pow a 4) (pow c 3)))) (pow b 6))) (* 1/2 a)) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2))))) b)) |
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))) |
(* -1 (* b (+ (* 1/2 (/ c (pow b 2))) (* 1/2 (/ 1 a))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2 (/ (* a c) b)) |
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)) |
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)) |
(* -1 (* b (+ (* 1/2 (/ (- (* -2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ (+ (* -1 (* a (* c (- (* -2 c) (* -1 c))))) (* -1 (* a (pow c 2)))) (pow b 4))) (+ (* 1/2 (/ (- (* -2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a)))))) |
(* -1 (* b (+ (* -1/2 (/ (+ (* -2 (* (pow a 2) (pow c 3))) (+ (* -1 (* (pow a 2) (* (pow c 2) (- (* -2 c) (* -1 c))))) (* a (* c (+ (* -1 (* a (* c (- (* -2 c) (* -1 c))))) (* -1 (* a (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -1 (* a (* c (- (* -2 c) (* -1 c))))) (* -1 (* a (pow c 2)))) (pow b 4))) (+ (* 1/2 (/ (- (* -2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a))))))) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* 2 (* c (+ (* -2 (/ (pow a 3) (pow b 7))) (* -1/2 (/ (pow a 3) (pow b 7)))))))))) (/ 1 b))) |
(+ (* -4 (* a b)) (* 4 (/ (* (pow a 2) c) b))) |
(+ (* -4 (* a b)) (* c (+ (* 4 (/ (* (pow a 3) c) (pow b 3))) (* 4 (/ (pow a 2) b))))) |
(+ (* -4 (* a b)) (* c (+ (* 4 (/ (pow a 2) b)) (* c (+ (* 4 (/ (pow a 3) (pow b 3))) (* 8 (/ (* (pow a 4) c) (pow b 5)))))))) |
(+ (* -1/2 (/ b a)) (* 1/2 (/ b a))) |
(+ (* -1 (/ c b)) (+ (* -1/2 (/ b a)) (* 1/2 (/ b a)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/2 (/ b a)) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))))) |
(+ (* -1/2 (/ b a)) (+ (* 1/2 (/ b a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c) |
(/ (+ (* -1/2 b) (* c (- (* -1 (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c) |
(/ (+ (* -1/2 b) (* c (- (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) a)) (/ (pow a 3) (pow b 5)))))) (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c) |
(+ 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 (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
(/ (+ (* -1/2 (/ (pow b 3) (pow a 2))) (* 1/2 (* c (- (* 2 (/ b a)) (* -1 (/ b a)))))) c) |
(/ (+ (* -1/2 (/ (pow b 3) (pow a 2))) (* c (+ (* 1/2 (* c (- (* 2 (/ 1 b)) (/ (* a (- (* 2 (/ b a)) (* -1 (/ b a)))) (pow b 2))))) (* 1/2 (- (* 2 (/ b a)) (* -1 (/ b a))))))) c) |
(/ (+ (* -1/2 (/ (pow b 3) (pow a 2))) (* c (+ (* 1/2 (- (* 2 (/ b a)) (* -1 (/ b a)))) (* c (+ (* -1/2 (* c (+ (* -1/4 (/ (* (pow b 3) (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 3))) (+ (* 2 (/ (* (pow a 2) (- (* 2 (/ b a)) (* -1 (/ b a)))) (pow b 4))) (/ (* a (- (* 2 (/ 1 b)) (/ (* a (- (* 2 (/ b a)) (* -1 (/ b a)))) (pow b 2)))) (pow b 2)))))) (* 1/2 (- (* 2 (/ 1 b)) (/ (* a (- (* 2 (/ b a)) (* -1 (/ b a)))) (pow b 2))))))))) c) |
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) |
(* c (+ (* -2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (* -2 (/ (* a b) c)))) |
(* c (+ (* -2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (+ (* -2 (/ (* a b) c)) (* -1 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (+ (* -2 (/ (* a b) c)) (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 1/4 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -4))) (/ b (pow (sqrt -4) 2))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (pow (sqrt -4) 2)))) c) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (pow (sqrt -4) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) c) |
(* c (- (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* c (- (* -1 (/ b 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))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 1/2 (/ (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ c a)) (/ (* b (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4))))) (pow c 2))) (* 1/2 (/ (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ c a)) (/ (* b (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4))))) (pow c 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* (pow b 2) (* c (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))))) (* a (pow (sqrt -4) 2)))) (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ c a)) (/ (* b (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))))) (sqrt -4)))) (pow c 3))) (* 1/2 (/ (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c))))) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))))))) (* -1/16 (/ (* (pow b 3) c) (pow a 2)))) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* -4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* 2 (/ (* a b) c))))) |
(* -1 (* c (+ (* -4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* -2 (* a b)) (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* -2 (* a b)) (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1)))) (* 1/32 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1))))) c))) c))))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (/ (+ (* 1/4 b) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) (* 1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* (pow b 3) c) a)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* 1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))) |
(* -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 (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -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)))))) |
(+ (* -1/2 (/ (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* 1/2 (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) (* 1/2 (/ (+ (* -1/8 (/ (* (pow b 2) (* c (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) c))) c)) (* 1/2 (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 19.0ms | c | @ | inf | ((* (* (* 4 a) c) (/ 1 (* (- (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (* 2 a)))) (* (- (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (* 2 a)) (* (* 4 a) c) (* 4 a) (+ (* (sqrt (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (* -1/2 (/ b a))) (/ (- (* 0 b) (* b c)) (* b b)) (* 0 b) (- (* 0 b) (* b c)) (/ (+ (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)) (+ (* (/ a b) 1/2) (* (/ b c) -1/2)) (/ a b) (/ (- (* 0 b) (* (* (neg b) b) (/ (neg c) b))) (pow b 3)) (* (* (neg b) b) (/ (neg c) b)) (* (* 1/2 (- (/ 1 a) (/ (- (* 0 b) (* (* (neg b) b) (/ (neg c) b))) (pow b 3)))) (neg b)) (sqrt (+ (* (* c -4) a) (* b b))) (- (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (* b b) (* (/ b c) -1/2) (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)))) |
| 17.0ms | a | @ | -inf | ((* (* (* 4 a) c) (/ 1 (* (- (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (* 2 a)))) (* (- (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (* 2 a)) (* (* 4 a) c) (* 4 a) (+ (* (sqrt (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (* -1/2 (/ b a))) (/ (- (* 0 b) (* b c)) (* b b)) (* 0 b) (- (* 0 b) (* b c)) (/ (+ (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)) (+ (* (/ a b) 1/2) (* (/ b c) -1/2)) (/ a b) (/ (- (* 0 b) (* (* (neg b) b) (/ (neg c) b))) (pow b 3)) (* (* (neg b) b) (/ (neg c) b)) (* (* 1/2 (- (/ 1 a) (/ (- (* 0 b) (* (* (neg b) b) (/ (neg c) b))) (pow b 3)))) (neg b)) (sqrt (+ (* (* c -4) a) (* b b))) (- (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (* b b) (* (/ b c) -1/2) (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)))) |
| 9.0ms | b | @ | -inf | ((* (* (* 4 a) c) (/ 1 (* (- (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (* 2 a)))) (* (- (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (* 2 a)) (* (* 4 a) c) (* 4 a) (+ (* (sqrt (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (* -1/2 (/ b a))) (/ (- (* 0 b) (* b c)) (* b b)) (* 0 b) (- (* 0 b) (* b c)) (/ (+ (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)) (+ (* (/ a b) 1/2) (* (/ b c) -1/2)) (/ a b) (/ (- (* 0 b) (* (* (neg b) b) (/ (neg c) b))) (pow b 3)) (* (* (neg b) b) (/ (neg c) b)) (* (* 1/2 (- (/ 1 a) (/ (- (* 0 b) (* (* (neg b) b) (/ (neg c) b))) (pow b 3)))) (neg b)) (sqrt (+ (* (* c -4) a) (* b b))) (- (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (* b b) (* (/ b c) -1/2) (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)))) |
| 8.0ms | b | @ | inf | ((* (* (* 4 a) c) (/ 1 (* (- (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (* 2 a)))) (* (- (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (* 2 a)) (* (* 4 a) c) (* 4 a) (+ (* (sqrt (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (* -1/2 (/ b a))) (/ (- (* 0 b) (* b c)) (* b b)) (* 0 b) (- (* 0 b) (* b c)) (/ (+ (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)) (+ (* (/ a b) 1/2) (* (/ b c) -1/2)) (/ a b) (/ (- (* 0 b) (* (* (neg b) b) (/ (neg c) b))) (pow b 3)) (* (* (neg b) b) (/ (neg c) b)) (* (* 1/2 (- (/ 1 a) (/ (- (* 0 b) (* (* (neg b) b) (/ (neg c) b))) (pow b 3)))) (neg b)) (sqrt (+ (* (* c -4) a) (* b b))) (- (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (* b b) (* (/ b c) -1/2) (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)))) |
| 5.0ms | a | @ | inf | ((* (* (* 4 a) c) (/ 1 (* (- (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (* 2 a)))) (* (- (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (* 2 a)) (* (* 4 a) c) (* 4 a) (+ (* (sqrt (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (* -1/2 (/ b a))) (/ (- (* 0 b) (* b c)) (* b b)) (* 0 b) (- (* 0 b) (* b c)) (/ (+ (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)) (+ (* (/ a b) 1/2) (* (/ b c) -1/2)) (/ a b) (/ (- (* 0 b) (* (* (neg b) b) (/ (neg c) b))) (pow b 3)) (* (* (neg b) b) (/ (neg c) b)) (* (* 1/2 (- (/ 1 a) (/ (- (* 0 b) (* (* (neg b) b) (/ (neg c) b))) (pow b 3)))) (neg b)) (sqrt (+ (* (* c -4) a) (* b b))) (- (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (* b b) (* (/ b c) -1/2) (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1562 | 8209 |
| 1 | 5276 | 7818 |
| 0 | 8148 | 7513 |
| 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))) (* 2 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7))))))))))) |
(* -4 (* a b)) |
(* a (+ (* -4 b) (* 4 (/ (* a c) b)))) |
(* a (+ (* -4 b) (* a (+ (* 4 (/ c b)) (* 4 (/ (* a (pow c 2)) (pow b 3))))))) |
(* a (+ (* -4 b) (* a (+ (* 4 (/ c b)) (* a (+ (* 4 (/ (pow c 2) (pow b 3))) (* 8 (/ (* a (pow c 3)) (pow b 5))))))))) |
(* 4 (* a c)) |
(* 4 a) |
(/ (+ (* -1/2 b) (* 1/2 b)) a) |
(/ (+ (* -1 (/ (* a c) b)) (+ (* -1/2 b) (* 1/2 b))) a) |
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))) a) |
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))) a) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -1/2 (/ b c)) |
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) |
(+ (* -1/2 (/ b c)) (* a (+ (* -1 (* a (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) |
(+ (* -1/2 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (/ (pow c 2) (pow b 5)))))) (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) |
(/ a b) |
(* -1/2 (/ b a)) |
(/ (+ (* -1/2 b) (* -1/2 (/ (* a c) b))) a) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
(* -1/2 (/ (pow b 3) (* (pow a 2) c))) |
(/ (+ (* -1/2 (/ (pow b 3) c)) (* 1/2 (* a (- (* 2 b) (* -1 b))))) (pow a 2)) |
(/ (+ (* -1/2 (/ (pow b 3) c)) (* a (+ (* -1/2 (* a (+ (* -2 (/ c b)) (/ (* c (- (* 2 b) (* -1 b))) (pow b 2))))) (* 1/2 (- (* 2 b) (* -1 b)))))) (pow a 2)) |
(/ (+ (* -1/2 (/ (pow b 3) c)) (* a (+ (* 1/2 (- (* 2 b) (* -1 b))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* c (+ (* -2 (/ c b)) (/ (* c (- (* 2 b) (* -1 b))) (pow b 2)))) (pow b 2))) (+ (* -1/4 (/ (* (pow b 3) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* 2 b) (* -1 b))) (pow b 4))))))) (* -1/2 (+ (* -2 (/ c b)) (/ (* c (- (* 2 b) (* -1 b))) (pow b 2))))))))) (pow a 2)) |
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4))))) (pow a 3))) (* 2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2)))))) a) |
(* -2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) |
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -4))) (* -2 (/ b a)))) |
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -2 (/ b a)) (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))) |
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -2 (/ b a)) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* (sqrt (/ a c)) (/ 1 (sqrt -4))) |
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2)))) |
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (* c (pow (sqrt -4) 2))))) |
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))) |
(* 1/2 (/ a b)) |
(* a (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ b a)) (* -1/2 (/ c b))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -1 (* (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))))) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (pow a 2))) (* 1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a)))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (pow a 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))))) (sqrt -4)))) (pow a 3))) (* 1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a))))) a) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (* a b))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow a 2) (pow b 3)) c))) a)) (* 2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (* a b))) a))) a)) |
(* 4 (* (sqrt (* (pow a 3) c)) (sqrt -1))) |
(* (pow a 2) (+ (* -2 (/ b a)) (* 4 (* (sqrt (/ c a)) (sqrt -1))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 2 b)) a)) (* 4 (* (sqrt (/ c a)) (sqrt -1))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 2 b)) a)) (* 4 (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -1/2 (* (sqrt (/ a c)) (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ a c)) (sqrt -1))) (* -1/4 (/ b c))) |
(+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1)))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/32 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1)))) |
(* -1 (* a (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -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 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 (/ (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b))) (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (* a (* (pow b 2) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a)) (* 1/2 (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))) a))) a)) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))))) (* 2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* -2 (* a b)) (* -2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))) |
(+ (* -2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (+ (* -2 a) (* -1 (* (sqrt (/ a c)) (/ b (sqrt -4))))))) |
(+ (* -2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (+ (* -2 a) (* b (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))))) |
(+ (* 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))))) |
0 |
(* -1 (* b c)) |
(+ (* 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 (/ (pow b 2) c)) (* 1/2 a)) b) |
(* -1 (/ c (pow b 2))) |
(* b c) |
(/ (+ (* -1/2 c) (* -1/2 (/ (pow b 2) a))) 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))))))))) |
(- (* -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) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (- (* 1/2 (* b (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (- (* b (+ (* 1/2 (* b (- (* 2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))) (sqrt -4))))))) (* 1/2 (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* 2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6)))))) b) |
(* b (+ (* -4 a) (* 4 (/ (* (pow a 2) c) (pow b 2))))) |
(* b (+ (* -4 a) (+ (* 4 (/ (* (pow a 2) c) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 2)) (pow b 4)))))) |
(* b (+ (* -4 a) (+ (* 4 (/ (* (pow a 2) c) (pow b 2))) (+ (* 4 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 8 (/ (* (pow a 4) (pow c 3)) (pow b 6))))))) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* b (- (* -1 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))) |
(* b (- (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (* (pow a 3) (pow c 2)))) (pow b 6))) (+ (* -1 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (+ (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (* 1/2 (/ 1 c))))))) |
(* b (- (* -1/2 (/ c (pow b 2))) (* 1/2 (/ 1 a)))) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* (pow b 3) (- (* 3/2 (/ 1 (* a (pow b 2)))) (* 1/2 (/ 1 (* (pow a 2) c))))) |
(* (pow b 3) (- (+ (* -1/2 (/ (+ (* -2 c) (* 3 c)) (pow b 4))) (/ 3/2 (* a (pow b 2)))) (* 1/2 (/ 1 (* (pow a 2) c))))) |
(* (pow b 3) (- (+ (* -1/2 (/ (+ (* -2 c) (* 3 c)) (pow b 4))) (+ (* -1/2 (/ (+ (* -1 (* a (* c (+ (* -2 c) (* 3 c))))) (+ (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 6 (* a (pow c 2))))) (pow b 6))) (/ 3/2 (* a (pow b 2))))) (* 1/2 (/ 1 (* (pow a 2) c))))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (+ (* -1 (/ c (pow b 2))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2)))))) (+ (* -1 (* (pow a 2) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (+ (* -2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (+ (* -1 (/ c (pow b 2))) (/ 1 a)))))) |
(* -4 (/ (* (pow a 2) c) b)) |
(* -1 (/ (+ (* 4 (* (pow a 2) c)) (* 4 (/ (* (pow a 3) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* 4 (* (pow a 2) c)) (+ (* 4 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* 8 (/ (* (pow a 4) (pow c 3)) (pow b 4))))) b)) |
(* -1 (/ (+ (* 4 (* (pow a 2) c)) (+ (* 4 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (+ (* 8 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (/ (* a (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4))))) (pow b 6))))) b)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -1/2 (/ a b)) |
(* -1 (/ (+ (* 1/2 a) (* 1/2 (/ (* (pow a 2) c) (pow b 2)))) b)) |
(* -1 (/ (- (+ (* 1/2 a) (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2)))) b)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -2 (* (pow a 4) (pow c 3))) (* -1/2 (* (pow a 4) (pow c 3)))) (pow b 6))) (* 1/2 a)) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2))))) b)) |
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))) |
(* -1 (* b (+ (* 1/2 (/ c (pow b 2))) (* 1/2 (/ 1 a))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2 (/ (* a c) b)) |
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)) |
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)) |
(* -1 (* b (+ (* 1/2 (/ (- (* -2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ (+ (* -1 (* a (* c (- (* -2 c) (* -1 c))))) (* -1 (* a (pow c 2)))) (pow b 4))) (+ (* 1/2 (/ (- (* -2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a)))))) |
(* -1 (* b (+ (* -1/2 (/ (+ (* -2 (* (pow a 2) (pow c 3))) (+ (* -1 (* (pow a 2) (* (pow c 2) (- (* -2 c) (* -1 c))))) (* a (* c (+ (* -1 (* a (* c (- (* -2 c) (* -1 c))))) (* -1 (* a (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -1 (* a (* c (- (* -2 c) (* -1 c))))) (* -1 (* a (pow c 2)))) (pow b 4))) (+ (* 1/2 (/ (- (* -2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a))))))) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* 2 (* c (+ (* -2 (/ (pow a 3) (pow b 7))) (* -1/2 (/ (pow a 3) (pow b 7)))))))))) (/ 1 b))) |
(+ (* -4 (* a b)) (* 4 (/ (* (pow a 2) c) b))) |
(+ (* -4 (* a b)) (* c (+ (* 4 (/ (* (pow a 3) c) (pow b 3))) (* 4 (/ (pow a 2) b))))) |
(+ (* -4 (* a b)) (* c (+ (* 4 (/ (pow a 2) b)) (* c (+ (* 4 (/ (pow a 3) (pow b 3))) (* 8 (/ (* (pow a 4) c) (pow b 5)))))))) |
(+ (* -1/2 (/ b a)) (* 1/2 (/ b a))) |
(+ (* -1 (/ c b)) (+ (* -1/2 (/ b a)) (* 1/2 (/ b a)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/2 (/ b a)) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))))) |
(+ (* -1/2 (/ b a)) (+ (* 1/2 (/ b a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c) |
(/ (+ (* -1/2 b) (* c (- (* -1 (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c) |
(/ (+ (* -1/2 b) (* c (- (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) a)) (/ (pow a 3) (pow b 5)))))) (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c) |
(+ 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 (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
(/ (+ (* -1/2 (/ (pow b 3) (pow a 2))) (* 1/2 (* c (- (* 2 (/ b a)) (* -1 (/ b a)))))) c) |
(/ (+ (* -1/2 (/ (pow b 3) (pow a 2))) (* c (+ (* 1/2 (* c (- (* 2 (/ 1 b)) (/ (* a (- (* 2 (/ b a)) (* -1 (/ b a)))) (pow b 2))))) (* 1/2 (- (* 2 (/ b a)) (* -1 (/ b a))))))) c) |
(/ (+ (* -1/2 (/ (pow b 3) (pow a 2))) (* c (+ (* 1/2 (- (* 2 (/ b a)) (* -1 (/ b a)))) (* c (+ (* -1/2 (* c (+ (* -1/4 (/ (* (pow b 3) (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 3))) (+ (* 2 (/ (* (pow a 2) (- (* 2 (/ b a)) (* -1 (/ b a)))) (pow b 4))) (/ (* a (- (* 2 (/ 1 b)) (/ (* a (- (* 2 (/ b a)) (* -1 (/ b a)))) (pow b 2)))) (pow b 2)))))) (* 1/2 (- (* 2 (/ 1 b)) (/ (* a (- (* 2 (/ b a)) (* -1 (/ b a)))) (pow b 2))))))))) c) |
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) |
(* c (+ (* -2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (* -2 (/ (* a b) c)))) |
(* c (+ (* -2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (+ (* -2 (/ (* a b) c)) (* -1 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (+ (* -2 (/ (* a b) c)) (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 1/4 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -4))) (/ b (pow (sqrt -4) 2))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (pow (sqrt -4) 2)))) c) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (pow (sqrt -4) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) c) |
(* c (- (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* c (- (* -1 (/ b 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))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 1/2 (/ (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ c a)) (/ (* b (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4))))) (pow c 2))) (* 1/2 (/ (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ c a)) (/ (* b (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4))))) (pow c 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* (pow b 2) (* c (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))))) (* a (pow (sqrt -4) 2)))) (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ c a)) (/ (* b (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))))) (sqrt -4)))) (pow c 3))) (* 1/2 (/ (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c))))) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))))))) (* -1/16 (/ (* (pow b 3) c) (pow a 2)))) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* -4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* 2 (/ (* a b) c))))) |
(* -1 (* c (+ (* -4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* -2 (* a b)) (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* -2 (* a b)) (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1)))) (* 1/32 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1))))) c))) c))))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (/ (+ (* 1/4 b) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) (* 1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* (pow b 3) c) a)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* 1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))) |
(* -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 (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -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)))))) |
(+ (* -1/2 (/ (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* 1/2 (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) (* 1/2 (/ (+ (* -1/8 (/ (* (pow b 2) (* c (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) c))) c)) (* 1/2 (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
| Outputs |
|---|
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal -2 binary64) (/.f64 (*.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))) (* 2 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7))))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -5/2 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) |
(* -4 (* a b)) |
(*.f64 (*.f64 b a) #s(literal -4 binary64)) |
(* a (+ (* -4 b) (* 4 (/ (* a c) b)))) |
(*.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) b)) a) |
(* a (+ (* -4 b) (* a (+ (* 4 (/ c b)) (* 4 (/ (* a (pow c 2)) (pow b 3))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a (*.f64 #s(literal -4 binary64) b)) a) |
(* a (+ (* -4 b) (* a (+ (* 4 (/ c b)) (* a (+ (* 4 (/ (pow c 2) (pow b 3))) (* 8 (/ (* a (pow c 3)) (pow b 5))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 8 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal 4 binary64))) a (*.f64 #s(literal -4 binary64) b)) a) |
(* 4 (* a c)) |
(*.f64 (*.f64 c a) #s(literal 4 binary64)) |
(* 4 a) |
(*.f64 #s(literal 4 binary64) a) |
(/ (+ (* -1/2 b) (* 1/2 b)) a) |
(/.f64 #s(literal 0 binary64) a) |
(/ (+ (* -1 (/ (* a c) b)) (+ (* -1/2 b) (* 1/2 b))) a) |
(/.f64 (*.f64 (neg.f64 a) (/.f64 c b)) a) |
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))) a) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a)) a) |
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))) a) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.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 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) a)) a) |
(+ (* -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 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) |
(* -1/2 (/ b c)) |
(*.f64 (/.f64 b c) #s(literal -1/2 binary64)) |
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) |
(fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ b c)) (* a (+ (* -1 (* a (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64)) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (/ (pow c 2) (pow b 5)))))) (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (neg.f64 c) (*.f64 (/.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) b) (/.f64 #s(literal -1/2 binary64) b)) (fma.f64 (/.f64 #s(literal -1/8 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64))) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -1/2 binary64))) |
(/ a b) |
(/.f64 a b) |
(* -1/2 (/ b a)) |
(*.f64 (/.f64 b a) #s(literal -1/2 binary64)) |
(/ (+ (* -1/2 b) (* -1/2 (/ (* a c) b))) a) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a (/.f64 c b) 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) |
(* -2 b) |
(*.f64 #s(literal -2 binary64) b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a (*.f64 #s(literal -2 binary64) b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
(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 4 binary64) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64))) a (*.f64 (/.f64 c b) #s(literal 2 binary64))) a (*.f64 #s(literal -2 binary64) b)) |
(* -1/2 (/ (pow b 3) (* (pow a 2) c))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a a)) (/.f64 (pow.f64 b #s(literal 3 binary64)) c)) |
(/ (+ (* -1/2 (/ (pow b 3) c)) (* 1/2 (* a (- (* 2 b) (* -1 b))))) (pow a 2)) |
(/.f64 (fma.f64 (*.f64 (*.f64 b #s(literal 3 binary64)) a) #s(literal 1/2 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (*.f64 a a)) |
(/ (+ (* -1/2 (/ (pow b 3) c)) (* a (+ (* -1/2 (* a (+ (* -2 (/ c b)) (/ (* c (- (* 2 b) (* -1 b))) (pow b 2))))) (* 1/2 (- (* 2 b) (* -1 b)))))) (pow a 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (fma.f64 (/.f64 (*.f64 b #s(literal 3 binary64)) b) (/.f64 c b) (*.f64 #s(literal -2 binary64) (/.f64 c b))) (*.f64 (*.f64 b #s(literal 3 binary64)) #s(literal 1/2 binary64))) a (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (*.f64 a a)) |
(/ (+ (* -1/2 (/ (pow b 3) c)) (* a (+ (* 1/2 (- (* 2 b) (* -1 b))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* c (+ (* -2 (/ c b)) (/ (* c (- (* 2 b) (* -1 b))) (pow b 2)))) (pow b 2))) (+ (* -1/4 (/ (* (pow b 3) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* 2 b) (* -1 b))) (pow b 4))))))) (* -1/2 (+ (* -2 (/ c b)) (/ (* c (- (* 2 b) (* -1 b))) (pow b 2))))))))) (pow a 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 c (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b #s(literal 3 binary64)) b) (/.f64 c b) (*.f64 #s(literal -2 binary64) (/.f64 c b))) (*.f64 b b))) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 c c)) #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b #s(literal 3 binary64)) (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)))) a (fma.f64 (/.f64 (*.f64 b #s(literal 3 binary64)) b) (/.f64 c b) (*.f64 #s(literal -2 binary64) (/.f64 c b))))) a (*.f64 (*.f64 b #s(literal 3 binary64)) #s(literal 1/2 binary64))) a (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (*.f64 a a)) |
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) #s(literal -2 binary64)) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) #s(literal -2 binary64) (*.f64 (/.f64 b #s(literal -4 binary64)) #s(literal 2 binary64))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))))) a) |
(/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 b b) #s(literal -4 binary64))) a) (/.f64 #s(literal -1/2 binary64) a) (/.f64 b #s(literal -4 binary64))) (*.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) #s(literal -2 binary64))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4))))) (pow a 3))) (* 2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2)))))) a) |
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(+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/8 binary64) (*.f64 (*.f64 b (/.f64 c a)) #s(literal 1/2 binary64))) (neg.f64 c))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))))))) (* -1/16 (/ (* (pow b 3) c) (pow a 2)))) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) #s(literal -1/8 binary64))) (fma.f64 (/.f64 #s(literal -1/16 binary64) a) (/.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) c) a) (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) #s(literal 1/8 binary64)))) c) #s(literal -1 binary64) (*.f64 (*.f64 b (/.f64 c a)) #s(literal 1/2 binary64))) (neg.f64 c))) |
(* -1 (* c (+ (* -4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* 2 (/ (* a b) c))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c))) #s(literal -4 binary64) (*.f64 (*.f64 a (/.f64 b c)) #s(literal 2 binary64))) (neg.f64 c)) |
(* -1 (* c (+ (* -4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* -2 (* a b)) (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) c))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 b a) #s(literal -2 binary64))) (neg.f64 c))) (neg.f64 c)) |
(* -1 (* c (+ (* -4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* -2 (* a b)) (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1)))) (* 1/32 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1))))) c))) c))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) a) b (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/32 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 c))) (neg.f64 c))) (neg.f64 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) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (/.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) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 #s(literal -1/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 c))) (neg.f64 c))) (neg.f64 c)) |
(* -1 (/ (+ (* 1/4 b) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) b)) (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 (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/16 binary64) (*.f64 (*.f64 b c) #s(literal -1/4 binary64))) (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 (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) c) a) #s(literal 1/32 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/16 binary64))) (*.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))))) c) #s(literal -1 binary64) (*.f64 (*.f64 b c) #s(literal -1/4 binary64))) (neg.f64 c))) (neg.f64 c)) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) b)) (neg.f64 c)) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) (neg.f64 c)) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))))) (neg.f64 c)) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/512 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))))) (neg.f64 c)) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (-.f64 (/.f64 b c) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64))) (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 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (neg.f64 b)) c) #s(literal -1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal -2 binary64))) (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 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/4 binary64))) (neg.f64 c)) b) c) #s(literal -1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal -2 binary64))) (neg.f64 c)) |
(+ (* -1/2 (/ (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (/.f64 (*.f64 (neg.f64 b) c) a)) c) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))) |
(+ (* -1 (/ (+ (* 1/2 (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (/.f64 (*.f64 (neg.f64 b) c) a))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) #s(literal 1/4 binary64))) c) (fma.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (/.f64 (*.f64 (neg.f64 b) c) a)))) (neg.f64 c))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) (* 1/2 (/ (+ (* -1/8 (/ (* (pow b 2) (* c (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) c))) c)) (* 1/2 (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (/.f64 (*.f64 (neg.f64 b) c) a)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (/.f64 (*.f64 (neg.f64 b) c) a))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) #s(literal 1/4 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) c) (fma.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (/.f64 (*.f64 (neg.f64 b) c) a))) a) #s(literal -1/8 binary64))) c) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (/.f64 (*.f64 (neg.f64 b) c) a))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) #s(literal 1/4 binary64))) #s(literal -1/2 binary64))) (neg.f64 c))) (neg.f64 c))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 322 |
| 0 | 110 | 302 |
| 1 | 454 | 286 |
| 2 | 3592 | 278 |
| 0 | 10872 | 276 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))) |
(*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 #s(literal 4 binary64) a) |
#s(approx (+ (* (sqrt (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (* -1/2 (/ b a))) #s(literal 0 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 b c)) (*.f64 b b)) |
(*.f64 #s(literal 0 binary64) b) |
(-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 b c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 b c)) (*.f64 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))))) |
#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)))) |
(fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))) |
(/.f64 a b) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 (*.f64 (neg.f64 b) b) (/.f64 (neg.f64 c) b))) (pow.f64 b #s(literal 3 binary64))) |
(*.f64 (*.f64 (neg.f64 b) b) (/.f64 (neg.f64 c) b)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 (*.f64 (neg.f64 b) b) (/.f64 (neg.f64 c) b))) (pow.f64 b #s(literal 3 binary64))))) (neg.f64 b)) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) |
(*.f64 b b) |
(*.f64 (/.f64 b c) #s(literal -1/2 binary64)) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 (*.f64 (neg.f64 b) b) (/.f64 (neg.f64 c) b))) (pow.f64 b #s(literal 3 binary64))))) (neg.f64 b))) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 a #s(literal 4 binary64))) c) |
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) #s(literal 4 binary64)) (*.f64 c a)) |
(*.f64 (/.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (pow.f64 a #s(literal -1 binary64))) |
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(-.f64 #s(literal 0 binary64) (*.f64 b c)) |
(+.f64 (*.f64 b c) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (*.f64 b c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 b b) (/.f64 c b))) |
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(/.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 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.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))))) |
(neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b)) |
(fma.f64 #s(literal -1 binary64) b (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(fma.f64 b #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(-.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b) (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 3/2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) |
(-.f64 (/.f64 (*.f64 b b) (-.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 (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(-.f64 #s(literal 0 binary64) (-.f64 b (neg.f64 (sqrt.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))) b)) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(+.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (neg.f64 b)) |
(+.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(*.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) b) |
(*.f64 (neg.f64 (neg.f64 b)) b) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 b) b)) |
(*.f64 (*.f64 b b) #s(literal 1 binary64)) |
(*.f64 (neg.f64 b) (neg.f64 b)) |
(*.f64 b (neg.f64 (neg.f64 b))) |
(*.f64 b b) |
(*.f64 #s(literal 1 binary64) (*.f64 b b)) |
(pow.f64 (*.f64 b b) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 b) #s(literal 2 binary64)) |
(pow.f64 b #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 b) b)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 b) b)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 b)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) b) (pow.f64 c #s(literal -1 binary64))) |
(*.f64 (/.f64 b c) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 b c)) |
(*.f64 b (/.f64 #s(literal -1/2 binary64) c)) |
(*.f64 b (*.f64 (pow.f64 c #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(pow.f64 (/.f64 c (*.f64 #s(literal -1/2 binary64) b)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 b) #s(literal -1/2 binary64)) (neg.f64 c)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 b)) (neg.f64 c)) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) b)) (neg.f64 c)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) b) c) |
(/.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (*.f64 (neg.f64 b) #s(literal 1/2 binary64)) (-.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 b) (*.f64 b c)) (pow.f64 b #s(literal 4 binary64)))))) |
Compiled 33 336 to 4 216 computations (87.4% saved)
31 alts after pruning (23 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 731 | 8 | 739 |
| Fresh | 4 | 15 | 19 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 737 | 31 | 768 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 45.8% | (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) |
| 30.9% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) | |
| 27.4% | (/.f64 #s(approx (+ (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 #s(literal -4 binary64) (*.f64 c a))) (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) | |
| ✓ | 47.9% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
| ✓ | 39.0% | (/.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))))) |
| ✓ | 47.9% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
| ✓ | 44.3% | (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))) |
| 48.7% | (*.f64 c (/.f64 (*.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) | |
| 2.4% | #s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) b) (*.f64 (/.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) b) (/.f64 a b))) (*.f64 #s(literal 1/2 binary64) c) (*.f64 #s(literal 3/2 binary64) (/.f64 b a))) c (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (pow.f64 b #s(literal 3 binary64)) a))) c)) | |
| 3.9% | #s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) c)) a) (*.f64 a (/.f64 (*.f64 b b) c)))) (neg.f64 b))) | |
| 3.8% | #s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) c)) (*.f64 (*.f64 (neg.f64 b) b) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 b) b) (/.f64 (*.f64 b b) c))))) (neg.f64 b))) | |
| 4.6% | #s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 b)) (*.f64 (*.f64 (neg.f64 b) b) (/.f64 c b))) (*.f64 (*.f64 (neg.f64 b) b) (neg.f64 b))))) (neg.f64 b))) | |
| 4.7% | #s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 (neg.f64 b) b) (/.f64 (/.f64 (neg.f64 c) b) (pow.f64 b #s(literal 3 binary64)))))) (neg.f64 b))) | |
| 5.9% | #s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 b b) c)) #s(literal -1 binary64))))) (neg.f64 b))) | |
| 10.6% | #s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 #s(approx (* 1/2 (- (/ 1 a) (/ c (* b b)))) (*.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64))) (neg.f64 b))) | |
| 2.7% | #s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (/ (+ (* (* 1/2 c) (* (/ b a) 3)) (* (/ -1/2 a) (/ (pow b 3) a))) c) (*.f64 #s(literal 3/2 binary64) (/.f64 b a)))) | |
| 12.1% | #s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ (- (* 0 b) (* (* (neg b) b) (/ (neg c) b))) (pow b 3)))) (neg b)) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a (/.f64 c b) b)) a))) | |
| 11.9% | #s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ (- (* 0 b) (* (* (neg b) b) (/ (neg c) b))) (pow b 3)))) (neg b)) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) a)) (neg.f64 b)))) | |
| 11.4% | #s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ (- (* 0 b) (* (* (neg b) b) (/ (neg c) b))) (pow b 3)))) (neg b)) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) c) (/.f64 b a) (/.f64 #s(literal -1/2 binary64) b)) c))) | |
| 15.4% | #s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ (- (* 0 b) (* (* (neg b) b) (/ (neg c) b))) (pow b 3)))) (neg b)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| 12.1% | #s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ (- (* 0 b) (* (* (neg b) b) (/ (neg c) b))) (pow b 3)))) (neg b)) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 c b) (/.f64 b a))))) | |
| 11.8% | #s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ c (* b b)))) (neg b)) (/.f64 (fma.f64 (/.f64 (*.f64 a c) b) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) b)) a))) | |
| 11.4% | #s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ c (* b b)))) (neg b)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) b)) c))) | |
| 10.6% | #s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ c (* b b)))) (neg b)) (*.f64 (/.f64 c b) #s(literal 1/2 binary64)))) | |
| 26.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (*.f64 (neg.f64 c) b) (*.f64 b b))) | |
| ✓ | 38.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
| ✓ | 30.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
| 26.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (/.f64 b (*.f64 b a)))) | |
| 30.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 b (/.f64 #s(literal -1 binary64) a))) | |
| 30.3% | #s(approx (/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (neg.f64 b))) | |
| ✓ | 11.1% | #s(approx (+ (* (sqrt (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (* -1/2 (/ b a))) #s(literal 0 binary64)) |
Compiled 3 731 to 1 177 computations (68.5% saved)
| Inputs |
|---|
#s(approx (+ (* (sqrt (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (* -1/2 (/ b a))) #s(literal 0 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)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 b (/.f64 #s(literal -1 binary64) a))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ c (* b b)))) (neg b)) (*.f64 (/.f64 c b) #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ (- (* 0 b) (* (* (neg b) b) (/ (neg c) b))) (pow b 3)))) (neg b)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (/ (+ (* (* 1/2 c) (* (/ b a) 3)) (* (/ -1/2 a) (/ (pow b 3) a))) c) (*.f64 #s(literal 3/2 binary64) (/.f64 b a)))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (/.f64 b (*.f64 b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (*.f64 (neg.f64 c) b) (*.f64 b b))) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 #s(approx (* 1/2 (- (/ 1 a) (/ c (* b b)))) (*.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64))) (neg.f64 b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 b c)) (*.f64 b b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (*.f64 (neg.f64 b) b) b) a)) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ (- (* 0 b) (* (* (neg b) b) (/ (neg c) b))) (pow b 3)))) (neg b)) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 c b) (/.f64 b a))))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/.f64 #s(approx (+ (* (* 1/2 c) (* (/ b a) 3)) (* (/ -1/2 a) (/ (pow b 3) a))) (*.f64 (*.f64 b (/.f64 c a)) #s(literal 3/2 binary64))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64))) (neg.f64 b)) a)) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ (- (* 0 b) (* (* (neg b) b) (/ (neg c) b))) (pow b 3)))) (neg b)) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a (/.f64 c b) b)) a))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (neg.f64 b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 a b)) c))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ c (* b b)))) (neg b)) (/.f64 (fma.f64 (/.f64 (*.f64 a c) b) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) b)) a))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ (- (* 0 b) (* (* (neg b) b) (/ (neg c) b))) (pow b 3)))) (neg b)) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) a)) (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)) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))) (neg.f64 b))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ c (* b b)))) (neg b)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) b)) c))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ (- (* 0 b) (* (* (neg b) b) (/ (neg c) b))) (pow b 3)))) (neg b)) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) c) (/.f64 b a) (/.f64 #s(literal -1/2 binary64) b)) c))) |
(/.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)) |
#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))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b a) (/.f64 b a))) (+.f64 #s(literal 0 binary64) (/.f64 b a)))) |
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) |
(/.f64 #s(approx (+ (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 #s(literal -4 binary64) (*.f64 c a))) (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(*.f64 c (/.f64 (*.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) |
(*.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) c)) a) (*.f64 a (/.f64 (*.f64 b b) c)))) (neg.f64 b))) |
(/.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 (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)) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 b)) (*.f64 (*.f64 (neg.f64 b) b) (/.f64 c b))) (*.f64 (*.f64 (neg.f64 b) b) (neg.f64 b))))) (neg.f64 b))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) c)) (*.f64 (*.f64 (neg.f64 b) b) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 b) b) (/.f64 (*.f64 b b) c))))) (neg.f64 b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (*.f64 c (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) a (/.f64 #s(literal 1 binary64) b))))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (/ (+ (* (* 1/2 c) (* (/ b a) 3)) (* (/ -1/2 a) (/ (pow b 3) a))) c) (/.f64 (fma.f64 #s(literal -3/2 binary64) b (*.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) c) #s(literal 1/2 binary64))) (neg.f64 a)))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/.f64 (fma.f64 (*.f64 (*.f64 b #s(literal 3 binary64)) a) #s(literal 1/2 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (*.f64 a a))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 (neg.f64 b) b) (/.f64 (/.f64 (neg.f64 c) b) (pow.f64 b #s(literal 3 binary64)))))) (neg.f64 b))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) (*.f64 (/.f64 b a) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (pow.f64 b #s(literal 3 binary64)) a))) c)) |
(/.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 (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 (*.f64 (neg.f64 b) b) (/.f64 (neg.f64 c) b))) (pow.f64 b #s(literal 3 binary64))))) (neg.f64 b))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal -1/2 binary64)) (fma.f64 (/.f64 (*.f64 b #s(literal 3 binary64)) b) (/.f64 c b) (*.f64 #s(literal -2 binary64) (/.f64 c b))) (*.f64 #s(literal 3/2 binary64) b)) a (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (*.f64 a a))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (fma.f64 (/.f64 (*.f64 b #s(literal 3 binary64)) b) (/.f64 c b) (*.f64 #s(literal -2 binary64) (/.f64 c b))) (*.f64 (*.f64 b #s(literal 3 binary64)) #s(literal 1/2 binary64))) a (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (*.f64 a a))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (pow.f64 b #s(literal 3 binary64)) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) b) (*.f64 (/.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) b) (/.f64 a b))) c (*.f64 (/.f64 b a) #s(literal 3 binary64)))) c)) c)) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) b) (*.f64 (/.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) b) (/.f64 a b))) (*.f64 #s(literal 1/2 binary64) c) (*.f64 #s(literal 3/2 binary64) (/.f64 b a))) c (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (pow.f64 b #s(literal 3 binary64)) a))) c)) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 b b) c)) #s(literal -1 binary64))))) (neg.f64 b))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (fma.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64))) #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 b b) a)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) c)))) (pow.f64 b #s(literal 3 binary64)))) |
| Outputs |
|---|
#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 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 c (/.f64 (*.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) |
(/.f64 #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 |
| 20.0ms | b |
| 17.0ms | c |
| 15.0ms | (/.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 |
|---|---|---|
| 53.9% | 2 | a |
| 87.6% | 4 | b |
| 59.6% | 6 | c |
| 78.0% | 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 (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (* -1/2 (/ b a))) #s(literal 0 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)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 b (/.f64 #s(literal -1 binary64) a))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ c (* b b)))) (neg b)) (*.f64 (/.f64 c b) #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ (- (* 0 b) (* (* (neg b) b) (/ (neg c) b))) (pow b 3)))) (neg b)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (/ (+ (* (* 1/2 c) (* (/ b a) 3)) (* (/ -1/2 a) (/ (pow b 3) a))) c) (*.f64 #s(literal 3/2 binary64) (/.f64 b a)))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (/.f64 b (*.f64 b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (*.f64 (neg.f64 c) b) (*.f64 b b))) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 #s(approx (* 1/2 (- (/ 1 a) (/ c (* b b)))) (*.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64))) (neg.f64 b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 b c)) (*.f64 b b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (*.f64 (neg.f64 b) b) b) a)) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ (- (* 0 b) (* (* (neg b) b) (/ (neg c) b))) (pow b 3)))) (neg b)) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 c b) (/.f64 b a))))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/.f64 #s(approx (+ (* (* 1/2 c) (* (/ b a) 3)) (* (/ -1/2 a) (/ (pow b 3) a))) (*.f64 (*.f64 b (/.f64 c a)) #s(literal 3/2 binary64))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64))) (neg.f64 b)) a)) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ (- (* 0 b) (* (* (neg b) b) (/ (neg c) b))) (pow b 3)))) (neg b)) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a (/.f64 c b) b)) a))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (neg.f64 b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 a b)) c))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ c (* b b)))) (neg b)) (/.f64 (fma.f64 (/.f64 (*.f64 a c) b) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) b)) a))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ (- (* 0 b) (* (* (neg b) b) (/ (neg c) b))) (pow b 3)))) (neg b)) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) a)) (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)) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))) (neg.f64 b))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ c (* b b)))) (neg b)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) b)) c))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ (- (* 0 b) (* (* (neg b) b) (/ (neg c) b))) (pow b 3)))) (neg b)) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) c) (/.f64 b a) (/.f64 #s(literal -1/2 binary64) b)) c))) |
(/.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)) |
#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))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b a) (/.f64 b a))) (+.f64 #s(literal 0 binary64) (/.f64 b a)))) |
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) |
(/.f64 #s(approx (+ (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 #s(literal -4 binary64) (*.f64 c a))) (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
| Outputs |
|---|
#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 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.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))))) |
1 calls:
| 14.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.9% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (* (sqrt (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (* -1/2 (/ b a))) #s(literal 0 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)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 b (/.f64 #s(literal -1 binary64) a))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ c (* b b)))) (neg b)) (*.f64 (/.f64 c b) #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ (- (* 0 b) (* (* (neg b) b) (/ (neg c) b))) (pow b 3)))) (neg b)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (/ (+ (* (* 1/2 c) (* (/ b a) 3)) (* (/ -1/2 a) (/ (pow b 3) a))) c) (*.f64 #s(literal 3/2 binary64) (/.f64 b a)))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (/.f64 b (*.f64 b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (*.f64 (neg.f64 c) b) (*.f64 b b))) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 #s(approx (* 1/2 (- (/ 1 a) (/ c (* b b)))) (*.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64))) (neg.f64 b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 b c)) (*.f64 b b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (*.f64 (neg.f64 b) b) b) a)) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ (- (* 0 b) (* (* (neg b) b) (/ (neg c) b))) (pow b 3)))) (neg b)) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 c b) (/.f64 b a))))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/.f64 #s(approx (+ (* (* 1/2 c) (* (/ b a) 3)) (* (/ -1/2 a) (/ (pow b 3) a))) (*.f64 (*.f64 b (/.f64 c a)) #s(literal 3/2 binary64))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64))) (neg.f64 b)) a)) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ (- (* 0 b) (* (* (neg b) b) (/ (neg c) b))) (pow b 3)))) (neg b)) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a (/.f64 c b) b)) a))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (neg.f64 b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 a b)) c))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ c (* b b)))) (neg b)) (/.f64 (fma.f64 (/.f64 (*.f64 a c) b) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) b)) a))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ (- (* 0 b) (* (* (neg b) b) (/ (neg c) b))) (pow b 3)))) (neg b)) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) a)) (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)) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))) (neg.f64 b))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ c (* b b)))) (neg b)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) b)) c))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ (- (* 0 b) (* (* (neg b) b) (/ (neg c) b))) (pow b 3)))) (neg b)) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) c) (/.f64 b a) (/.f64 #s(literal -1/2 binary64) b)) c))) |
(/.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)) |
#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))) |
| Outputs |
|---|
#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 #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:
| 10.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.5% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (* (sqrt (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (* -1/2 (/ b a))) #s(literal 0 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)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 b (/.f64 #s(literal -1 binary64) a))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ c (* b b)))) (neg b)) (*.f64 (/.f64 c b) #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ (- (* 0 b) (* (* (neg b) b) (/ (neg c) b))) (pow b 3)))) (neg b)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (/ (+ (* (* 1/2 c) (* (/ b a) 3)) (* (/ -1/2 a) (/ (pow b 3) a))) c) (*.f64 #s(literal 3/2 binary64) (/.f64 b a)))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (/.f64 b (*.f64 b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (*.f64 (neg.f64 c) b) (*.f64 b b))) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 #s(approx (* 1/2 (- (/ 1 a) (/ c (* b b)))) (*.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64))) (neg.f64 b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 b c)) (*.f64 b b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (*.f64 (neg.f64 b) b) b) a)) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ (- (* 0 b) (* (* (neg b) b) (/ (neg c) b))) (pow b 3)))) (neg b)) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 c b) (/.f64 b a))))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/.f64 #s(approx (+ (* (* 1/2 c) (* (/ b a) 3)) (* (/ -1/2 a) (/ (pow b 3) a))) (*.f64 (*.f64 b (/.f64 c a)) #s(literal 3/2 binary64))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64))) (neg.f64 b)) a)) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ (- (* 0 b) (* (* (neg b) b) (/ (neg c) b))) (pow b 3)))) (neg b)) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a (/.f64 c b) b)) a))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (neg.f64 b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 a b)) c))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ c (* b b)))) (neg b)) (/.f64 (fma.f64 (/.f64 (*.f64 a c) b) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) b)) a))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ (- (* 0 b) (* (* (neg b) b) (/ (neg c) b))) (pow b 3)))) (neg b)) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) a)) (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)) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))) (neg.f64 b))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ c (* b b)))) (neg b)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) b)) c))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ (- (* 0 b) (* (* (neg b) b) (/ (neg c) b))) (pow b 3)))) (neg b)) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) c) (/.f64 b a) (/.f64 #s(literal -1/2 binary64) b)) c))) |
(/.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)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))))) |
1 calls:
| 13.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.4% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (* (sqrt (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (* -1/2 (/ b a))) #s(literal 0 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)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 b (/.f64 #s(literal -1 binary64) a))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ c (* b b)))) (neg b)) (*.f64 (/.f64 c b) #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ (- (* 0 b) (* (* (neg b) b) (/ (neg c) b))) (pow b 3)))) (neg b)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (/ (+ (* (* 1/2 c) (* (/ b a) 3)) (* (/ -1/2 a) (/ (pow b 3) a))) c) (*.f64 #s(literal 3/2 binary64) (/.f64 b a)))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (/.f64 b (*.f64 b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (*.f64 (neg.f64 c) b) (*.f64 b b))) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 #s(approx (* 1/2 (- (/ 1 a) (/ c (* b b)))) (*.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64))) (neg.f64 b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 b c)) (*.f64 b b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (*.f64 (neg.f64 b) b) b) a)) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ (- (* 0 b) (* (* (neg b) b) (/ (neg c) b))) (pow b 3)))) (neg b)) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 c b) (/.f64 b a))))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/.f64 #s(approx (+ (* (* 1/2 c) (* (/ b a) 3)) (* (/ -1/2 a) (/ (pow b 3) a))) (*.f64 (*.f64 b (/.f64 c a)) #s(literal 3/2 binary64))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64))) (neg.f64 b)) a)) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ (- (* 0 b) (* (* (neg b) b) (/ (neg c) b))) (pow b 3)))) (neg b)) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a (/.f64 c b) b)) a))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (neg.f64 b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 a b)) c))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ c (* b b)))) (neg b)) (/.f64 (fma.f64 (/.f64 (*.f64 a c) b) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) b)) a))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ (- (* 0 b) (* (* (neg b) b) (/ (neg c) b))) (pow b 3)))) (neg b)) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) a)) (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)) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))) (neg.f64 b))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ c (* b b)))) (neg b)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) b)) c))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ (- (* 0 b) (* (* (neg b) b) (/ (neg c) b))) (pow b 3)))) (neg b)) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) c) (/.f64 b a) (/.f64 #s(literal -1/2 binary64) b)) c))) |
| Outputs |
|---|
#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)) |
#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 |
|---|---|---|
| 81.4% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (* (sqrt (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (* -1/2 (/ b a))) #s(literal 0 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)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 b (/.f64 #s(literal -1 binary64) a))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ c (* b b)))) (neg b)) (*.f64 (/.f64 c b) #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ (- (* 0 b) (* (* (neg b) b) (/ (neg c) b))) (pow b 3)))) (neg b)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (/ (+ (* (* 1/2 c) (* (/ b a) 3)) (* (/ -1/2 a) (/ (pow b 3) a))) c) (*.f64 #s(literal 3/2 binary64) (/.f64 b a)))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (/.f64 b (*.f64 b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (*.f64 (neg.f64 c) b) (*.f64 b b))) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 #s(approx (* 1/2 (- (/ 1 a) (/ c (* b b)))) (*.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64))) (neg.f64 b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 b c)) (*.f64 b b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (*.f64 (neg.f64 b) b) b) a)) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ (- (* 0 b) (* (* (neg b) b) (/ (neg c) b))) (pow b 3)))) (neg b)) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 c b) (/.f64 b a))))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/.f64 #s(approx (+ (* (* 1/2 c) (* (/ b a) 3)) (* (/ -1/2 a) (/ (pow b 3) a))) (*.f64 (*.f64 b (/.f64 c a)) #s(literal 3/2 binary64))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64))) (neg.f64 b)) a)) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ (- (* 0 b) (* (* (neg b) b) (/ (neg c) b))) (pow b 3)))) (neg b)) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a (/.f64 c b) b)) a))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (neg.f64 b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 a b)) c))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ c (* b b)))) (neg b)) (/.f64 (fma.f64 (/.f64 (*.f64 a c) b) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) b)) a))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ (- (* 0 b) (* (* (neg b) b) (/ (neg c) b))) (pow b 3)))) (neg b)) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) a)) (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))) |
| Outputs |
|---|
#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 (neg.f64 c) b)) |
2 calls:
| 10.0ms | 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 |
|---|---|---|
| 53.0% | 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)) |
| 66.8% | 2 | b |
Compiled 18 to 17 computations (5.6% saved)
| Inputs |
|---|
#s(approx (+ (* (sqrt (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (* -1/2 (/ b a))) #s(literal 0 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)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 b (/.f64 #s(literal -1 binary64) a))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ c (* b b)))) (neg b)) (*.f64 (/.f64 c b) #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ (- (* 0 b) (* (* (neg b) b) (/ (neg c) b))) (pow b 3)))) (neg b)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (/ (+ (* (* 1/2 c) (* (/ b a) 3)) (* (/ -1/2 a) (/ (pow b 3) a))) c) (*.f64 #s(literal 3/2 binary64) (/.f64 b a)))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (/.f64 b (*.f64 b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (*.f64 (neg.f64 c) b) (*.f64 b b))) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 #s(approx (* 1/2 (- (/ 1 a) (/ c (* b b)))) (*.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64))) (neg.f64 b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 b c)) (*.f64 b b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (*.f64 (neg.f64 b) b) b) a)) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ (- (* 0 b) (* (* (neg b) b) (/ (neg c) b))) (pow b 3)))) (neg b)) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 c b) (/.f64 b a))))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/.f64 #s(approx (+ (* (* 1/2 c) (* (/ b a) 3)) (* (/ -1/2 a) (/ (pow b 3) a))) (*.f64 (*.f64 b (/.f64 c a)) #s(literal 3/2 binary64))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64))) (neg.f64 b)) a)) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ (- (* 0 b) (* (* (neg b) b) (/ (neg c) b))) (pow b 3)))) (neg b)) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a (/.f64 c b) b)) a))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (neg.f64 b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 a b)) c))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ c (* b b)))) (neg b)) (/.f64 (fma.f64 (/.f64 (*.f64 a c) b) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) b)) a))) |
#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (* (* 1/2 (- (/ 1 a) (/ (- (* 0 b) (* (* (neg b) b) (/ (neg c) b))) (pow b 3)))) (neg b)) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) a)) (neg.f64 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:
| 10.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.7% | 2 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (* (sqrt (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (* -1/2 (/ b a))) #s(literal 0 binary64)) |
#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 (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (* -1/2 (/ b a))) #s(literal 0 binary64)) |
4 calls:
| 1.0ms | c |
| 1.0ms | a |
| 1.0ms | b |
| 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)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 30.7% | 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)) |
| 30.7% | 1 | c |
| 30.7% | 1 | a |
| 39.0% | 2 | b |
Compiled 20 to 23 computations (-15% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (* (sqrt (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (* -1/2 (/ b a))) #s(literal 0 binary64)) |
| Outputs |
|---|
#s(approx (+ (* (sqrt (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (* -1/2 (/ b a))) #s(literal 0 binary64)) |
4 calls:
| 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 | a |
| 1.0ms | b |
| 1.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 11.1% | 1 | a |
| 11.1% | 1 | c |
| 11.1% | 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)) |
| 11.1% | 1 | b |
Compiled 20 to 23 computations (-15% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 31.0ms | 2.332022693965627e+54 | 4.133087062923866e+58 |
| 34.0ms | 9.020310323060624e-139 | 2.2369551237710093e-132 |
| 6.0ms | -2.380870488733246e+117 | -5.851260447856544e+108 |
| 17.0ms | 63× | 2 | valid |
| 14.0ms | 173× | 0 | valid |
| 13.0ms | 88× | 0 | invalid |
| 9.0ms | 63× | 1 | valid |
| 1.0ms | 5× | 3 | valid |
Compiled 855 to 693 computations (18.9% saved)
ival-mult: 21.0ms (50.5% of total)ival-div: 4.0ms (9.6% of total)adjust: 4.0ms (9.6% of total)ival-sqrt: 4.0ms (9.6% of total)ival-sub: 3.0ms (7.2% of total)ival-add: 3.0ms (7.2% of total)ival-neg: 2.0ms (4.8% 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× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 1.0985858096295157e-114 | 1.1621432825930317e-113 |
| 0.0ms | -2.380870488733246e+117 | -5.851260447856544e+108 |
| 8.0ms | 68× | 0 | valid |
| 3.0ms | 22× | 1 | valid |
| 3.0ms | 37× | 0 | invalid |
| 1.0ms | 6× | 2 | valid |
Compiled 376 to 302 computations (19.7% saved)
ival-mult: 6.0ms (51.8% of total)ival-div: 1.0ms (8.6% of total)adjust: 1.0ms (8.6% of total)ival-sub: 1.0ms (8.6% of total)ival-sqrt: 1.0ms (8.6% of total)ival-add: 1.0ms (8.6% of total)ival-neg: 1.0ms (8.6% 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 | 1.0985858096295157e-114 | 1.1621432825930317e-113 |
| 33.0ms | -2.380870488733246e+117 | -5.851260447856544e+108 |
| 28.0ms | 112× | 0 | valid |
| 0.0ms | 1× | 0 | invalid |
Compiled 668 to 524 computations (21.6% saved)
ival-mult: 22.0ms (86.4% of total)ival-div: 1.0ms (3.9% of total)ival-add: 1.0ms (3.9% of total)ival-sub: 1.0ms (3.9% of total)ival-sqrt: 1.0ms (3.9% of total)ival-neg: 1.0ms (3.9% 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 |
|---|---|---|
| 1.0ms | 1.0985858096295157e-114 | 1.1621432825930317e-113 |
| 62.0ms | -1.3228772249451704e-108 | -1.179106111739297e-140 |
| 14.0ms | 176× | 0 | valid |
| 7.0ms | 64× | 0 | invalid |
Compiled 892 to 694 computations (22.2% saved)
ival-mult: 6.0ms (40.6% of total)ival-add: 3.0ms (20.3% of total)ival-div: 2.0ms (13.5% of total)ival-sqrt: 2.0ms (13.5% of total)ival-sub: 1.0ms (6.8% of total)ival-neg: 1.0ms (6.8% 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 |
|---|---|---|
| 1.0ms | 1.0985858096295157e-114 | 1.1621432825930317e-113 |
| 1.0ms | -1.3228772249451704e-108 | -1.179106111739297e-140 |
Compiled 862 to 682 computations (20.9% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 34.0ms | -8.739019315524598e-292 | 1.2166135112320385e-303 |
| 14.0ms | 176× | 0 | valid |
| 11.0ms | 118× | 0 | invalid |
Compiled 581 to 449 computations (22.7% saved)
ival-mult: 7.0ms (45.5% of total)ival-div: 2.0ms (13% of total)ival-sqrt: 2.0ms (13% of total)ival-add: 1.0ms (6.5% of total)ival-sub: 1.0ms (6.5% of total)ival-neg: 1.0ms (6.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | -8.739019315524598e-292 | 1.2166135112320385e-303 |
| 7.0ms | 96× | 0 | valid |
| 5.0ms | 62× | 0 | invalid |
Compiled 504 to 416 computations (17.5% saved)
ival-mult: 4.0ms (48.8% of total)ival-div: 1.0ms (12.2% of total)ival-add: 1.0ms (12.2% of total)ival-sub: 1.0ms (12.2% of total)ival-sqrt: 1.0ms (12.2% of total)ival-neg: 1.0ms (12.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -8.739019315524598e-292 | 1.2166135112320385e-303 |
Compiled 504 to 427 computations (15.3% saved)
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 105 | 609 |
| 1 | 133 | 605 |
| 2 | 166 | 605 |
| 3 | 191 | 605 |
| 4 | 213 | 605 |
| 5 | 232 | 605 |
| 6 | 245 | 605 |
| 7 | 251 | 605 |
| 8 | 253 | 605 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 b #s(literal -2000000000000000101110855451990067628456474061606006558040962949444465527954170811648466754210124438504834226473402368 binary64)) #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))) (if (<=.f64 b #s(literal 2422309049843145/6546781215792283740026379393655198304433284092086129578966582736192267592809349109766540184651808314301773368255120142018434513091770786106657055178752 binary64)) (/.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)) (if (<=.f64 b #s(literal 11500000000000000120425529670065845928457043215077603278848 binary64)) (*.f64 c (/.f64 (*.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (/.f64 #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 -2000000000000000101110855451990067628456474061606006558040962949444465527954170811648466754210124438504834226473402368 binary64)) #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))) (if (<=.f64 b #s(literal 7971425370597343/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456 binary64)) (/.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) #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 -8500000000000000132255037100468165706279711873829022183643049933662087139900423477752375814277903305247753387376640 binary64)) #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))) (if (<=.f64 b #s(literal 7971425370597343/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456 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 -8659601988678129/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944 binary64)) #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))) (if (<=.f64 b #s(literal 7971425370597343/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) (/.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 -8659601988678129/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944 binary64)) #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))) (if (<=.f64 b #s(literal 7971425370597343/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #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 (neg.f64 c) b))) |
(if (<=.f64 b #s(literal 3440838306224281/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))) |
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (+ (* (sqrt (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (* -1/2 (/ b a))) #s(literal 0 binary64))) |
#s(approx (+ (* (sqrt (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (* -1/2 (/ b a))) #s(literal 0 binary64)) |
| Outputs |
|---|
(if (<=.f64 b #s(literal -2000000000000000101110855451990067628456474061606006558040962949444465527954170811648466754210124438504834226473402368 binary64)) #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))) (if (<=.f64 b #s(literal 2422309049843145/6546781215792283740026379393655198304433284092086129578966582736192267592809349109766540184651808314301773368255120142018434513091770786106657055178752 binary64)) (/.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)) (if (<=.f64 b #s(literal 11500000000000000120425529670065845928457043215077603278848 binary64)) (*.f64 c (/.f64 (*.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (/.f64 #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 -2000000000000000101110855451990067628456474061606006558040962949444465527954170811648466754210124438504834226473402368 binary64)) #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))) (if (<=.f64 b #s(literal 2422309049843145/6546781215792283740026379393655198304433284092086129578966582736192267592809349109766540184651808314301773368255120142018434513091770786106657055178752 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 4 binary64)) c))) b) (*.f64 #s(literal 2 binary64) a)) (if (<=.f64 b #s(literal 11500000000000000120425529670065845928457043215077603278848 binary64)) (*.f64 (/.f64 (*.f64 a #s(literal 4 binary64)) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))) c) (/.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 #s(literal -1/2 binary64) (/.f64 b c)))))))) |
(if (<=.f64 b #s(literal -2000000000000000101110855451990067628456474061606006558040962949444465527954170811648466754210124438504834226473402368 binary64)) #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))) (if (<=.f64 b #s(literal 7971425370597343/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456 binary64)) (/.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) #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 -2000000000000000101110855451990067628456474061606006558040962949444465527954170811648466754210124438504834226473402368 binary64)) #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))) (if (<=.f64 b #s(literal 7971425370597343/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 4 binary64)) c))) 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 #s(literal -1/2 binary64) (/.f64 b c))))))) |
(if (<=.f64 b #s(literal -8500000000000000132255037100468165706279711873829022183643049933662087139900423477752375814277903305247753387376640 binary64)) #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))) (if (<=.f64 b #s(literal 7971425370597343/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456 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 -8500000000000000132255037100468165706279711873829022183643049933662087139900423477752375814277903305247753387376640 binary64)) #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))) (if (<=.f64 b #s(literal 7971425370597343/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456 binary64)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (/.f64 #s(literal 1/2 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 #s(literal -1/2 binary64) (/.f64 b c))))))) |
(if (<=.f64 b #s(literal -8659601988678129/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944 binary64)) #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))) (if (<=.f64 b #s(literal 7971425370597343/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) (/.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 -8659601988678129/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944 binary64)) #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))) (if (<=.f64 b #s(literal 7971425370597343/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) 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 #s(literal -1/2 binary64) (/.f64 b c))))))) |
(if (<=.f64 b #s(literal -8659601988678129/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944 binary64)) #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))) (if (<=.f64 b #s(literal 7971425370597343/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b #s(literal -8659601988678129/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944 binary64)) #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))) (if (<=.f64 b #s(literal 7971425370597343/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #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 (neg.f64 c) b))) |
(if (<=.f64 b #s(literal 3440838306224281/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))) |
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (+ (* (sqrt (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (* -1/2 (/ b a))) #s(literal 0 binary64))) |
#s(approx (+ (* (sqrt (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (* -1/2 (/ b a))) #s(literal 0 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 51 |
| 0 | 23 | 51 |
| 1 | 76 | 49 |
| 2 | 536 | 48 |
| 3 | 6864 | 48 |
| 0 | 8158 | 44 |
| 0 | 74 | 322 |
| 0 | 110 | 302 |
| 1 | 454 | 286 |
| 2 | 3592 | 278 |
| 0 | 10872 | 276 |
| 0 | 545 | 2858 |
| 1 | 1738 | 2817 |
| 2 | 6085 | 2789 |
| 0 | 8245 | 2654 |
| 0 | 38 | 216 |
| 0 | 58 | 216 |
| 1 | 209 | 210 |
| 2 | 1600 | 210 |
| 0 | 8593 | 210 |
| 0 | 901 | 4818 |
| 1 | 2886 | 4571 |
| 0 | 8987 | 4378 |
| 0 | 1337 | 7227 |
| 1 | 4512 | 6951 |
| 0 | 8158 | 6668 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 287 to 464 computations (63.9% saved)
Compiled 1 328 to 288 computations (78.3% saved)
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