
Time bar (total: 8.1s)
| 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)
| 532.0ms | 5 551× | 0 | valid |
| 294.0ms | 1 218× | 2 | valid |
| 229.0ms | 1 305× | 1 | valid |
| 103.0ms | 943× | 0 | invalid |
| 81.0ms | 182× | 3 | valid |
ival-mult: 323.0ms (35.5% of total)ival-div: 143.0ms (15.7% of total)ival-sqrt: 116.0ms (12.7% of total)ival-add: 89.0ms (9.8% of total)adjust: 79.0ms (8.7% of total)ival-sub: 74.0ms (8.1% of total)ival-neg: 63.0ms (6.9% of total)exact: 11.0ms (1.2% of total)ival-true: 8.0ms (0.9% of total)ival-assert: 4.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 113 | 0 | - | 2 | (-3.07046296423305e-201 1.2091148446223392e-160 4.853367385524828e-190) | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| 62 | 0 | - | 0 | - | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| 8 | 0 | - | 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)) |
| 4 | 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 | 103 | 0 |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | overflow | 103 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | overflow | 29 | |
| ↳ | (*.f64 b b) | overflow | 81 | |
+.f64 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | cancellation | 62 | 0 |
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) | uflow-rescue | 8 | 0 |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | underflow | 8 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | underflow | 47 | |
| ↳ | (*.f64 b b) | underflow | 43 | |
/.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 | 8 | 0 |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | underflow | 8 | |
| ↳ | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | underflow | 18 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | underflow | 47 | |
| ↳ | (*.f64 b b) | underflow | 43 | |
-.f64 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | nan-rescue | 4 | 0 |
| ↳ | (*.f64 b b) | overflow | 81 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | overflow | 29 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 131 | 0 |
| - | 24 | 101 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 131 | 0 | 0 |
| - | 24 | 0 | 101 |
| number | freq |
|---|---|
| 0 | 101 |
| 1 | 127 |
| 2 | 26 |
| 3 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 36.0ms | 356× | 0 | valid |
| 18.0ms | 98× | 1 | valid |
| 12.0ms | 50× | 2 | valid |
| 2.0ms | 8× | 3 | valid |
Compiled 231 to 60 computations (74% saved)
ival-mult: 16.0ms (36.4% of total)ival-div: 7.0ms (15.9% of total)ival-sqrt: 6.0ms (13.6% of total)ival-sub: 4.0ms (9.1% of total)adjust: 4.0ms (9.1% of total)ival-add: 4.0ms (9.1% of total)ival-neg: 2.0ms (4.5% of total)ival-true: 1.0ms (2.3% of total)exact: 1.0ms (2.3% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 158 |
| 1 | 162 | 144 |
| 2 | 463 | 144 |
| 3 | 1244 | 144 |
| 4 | 3263 | 144 |
| 5 | 6182 | 144 |
| 0 | 14 | 17 |
| 0 | 23 | 17 |
| 1 | 40 | 16 |
| 2 | 77 | 16 |
| 3 | 160 | 16 |
| 4 | 240 | 16 |
| 5 | 381 | 16 |
| 6 | 665 | 16 |
| 7 | 1142 | 16 |
| 8 | 2316 | 16 |
| 9 | 2622 | 16 |
| 10 | 2737 | 16 |
| 11 | 2792 | 16 |
| 12 | 2793 | 16 |
| 13 | 2793 | 16 |
| 14 | 2799 | 16 |
| 0 | 2799 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
Compiled 17 to 14 computations (17.6% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 51.7% | (/.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 | 665 | 68 |
| 7 | 1142 | 68 |
| 8 | 2316 | 68 |
| 9 | 2622 | 68 |
| 10 | 2737 | 68 |
| 11 | 2792 | 68 |
| 12 | 2793 | 68 |
| 13 | 2793 | 68 |
| 14 | 2799 | 68 |
| 0 | 2799 | 64 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
a |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 c (*.f64 a #s(literal 4 binary64))) |
(*.f64 #s(literal 4 binary64) a) |
(*.f64 a #s(literal 4 binary64)) |
#s(literal 4 binary64) |
a |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.8046875000000001 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | |
| accuracy | 2.023778290242288 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 14.187871277436622 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | |
| accuracy | 26.17667057714975 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| 20.0ms | 178× | 0 | valid |
| 8.0ms | 49× | 1 | valid |
| 6.0ms | 25× | 2 | valid |
| 1.0ms | 4× | 3 | valid |
Compiled 142 to 30 computations (78.9% saved)
ival-mult: 7.0ms (33% of total)ival-sqrt: 4.0ms (18.9% of total)ival-div: 3.0ms (14.1% of total)ival-sub: 2.0ms (9.4% of total)adjust: 2.0ms (9.4% of total)ival-add: 2.0ms (9.4% of total)ival-neg: 1.0ms (4.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 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 | |
|---|---|---|---|---|
| 8.0ms | 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)))) |
| 3.0ms | a | @ | -inf | ((+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
| 2.0ms | b | @ | 0 | ((+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 545 | 2858 |
| 1 | 1738 | 2817 |
| 2 | 6121 | 2789 |
| 0 | 8386 | 2654 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* -4 (* a c)) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(- (pow b 2) (* 4 (* a c))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(* -1 b) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
| Outputs |
|---|
(* -2 (/ (* a c) b)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (*.f64 #s(literal -2 binary64) a) (fma.f64 (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) a (/.f64 c b))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (fma.f64 (*.f64 a (*.f64 (pow.f64 c #s(literal 3 binary64)) (/.f64 a (pow.f64 b #s(literal 5 binary64))))) #s(literal -4 binary64) (*.f64 (fma.f64 (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) a (/.f64 c b)) #s(literal -2 binary64))) a) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -4 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) c) c) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) 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 | 6892 | 48 |
| 0 | 8186 | 44 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (pow.f64 b #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) |
(*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))))))) |
(*.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 2 binary64))) (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64))) (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3 binary64))) (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64))) (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 9/2 binary64)) (pow.f64 b #s(literal 9 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (*.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))) (fma.f64 b (/.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (/.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (fma.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (*.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (/.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) |
(/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 9/2 binary64)) (pow.f64 b #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b)) |
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(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))))) (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1/2 binary64) a)))) |
(neg.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1/2 binary64) a))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) b)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) b (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a) (*.f64 b (/.f64 #s(literal 1/2 binary64) a))) |
(fma.f64 b (/.f64 #s(literal 1/2 binary64) a) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))) |
(-.f64 (/.f64 (*.f64 b b) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))) |
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) a)) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1/2 binary64) a))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) a)) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1/2 binary64) a))) |
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1/2 binary64) a))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 b (/.f64 #s(literal 1/2 binary64) a))) |
(+.f64 (*.f64 b (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) b)) |
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) b) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(*.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1 binary64) b) |
(*.f64 #s(literal 1 binary64) b) |
(*.f64 (pow.f64 b #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 b #s(literal -1 binary64)) |
(*.f64 b #s(literal 1 binary64)) |
(pow.f64 b #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 b b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (pow.f64 b #s(literal 3 binary64)))) |
(/.f64 (pow.f64 b #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) #s(literal 0 binary64)))) |
(/.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 b b)) |
(/.f64 (*.f64 b b) b) |
(neg.f64 b) |
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) b #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) b #s(literal 0 binary64)) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) #s(literal 0 binary64)) |
(fma.f64 b #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 b #s(literal 1 binary64) #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) b) b) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b b)) b) |
(-.f64 #s(literal 0 binary64) b) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64))) |
(+.f64 #s(literal 0 binary64) b) |
(+.f64 b #s(literal 0 binary64)) |
b |
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (hypot.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 #s(literal -4 binary64) c) a)))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (pow.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 0 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 0 binary64))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) #s(literal 0 binary64)) (+.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 0 binary64))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (neg.f64 (hypot.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 #s(literal -4 binary64) c) a)))) |
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (hypot.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 #s(literal -4 binary64) c) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (sqrt.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal -1 binary64))) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (hypot.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 #s(literal -4 binary64) c) a))) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64))) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (pow.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(fabs.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(+.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 0 binary64)) |
Compiled 18 940 to 2 148 computations (88.7% saved)
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 |
|---|---|---|
| ▶ | 21.6% | (/.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))) |
| 11.8% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 51.7% | (/.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))) |
| 51.4% | (/.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)) | |
| 33.0% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) | |
| 27.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) | |
| 51.6% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) | |
| 51.6% | (/.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)) | |
| 51.6% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) | |
| ▶ | 37.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))) |
| 32.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) | |
| ▶ | 37.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
| ▶ | 31.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))) |
Compiled 620 to 436 computations (29.7% 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 | 256 | (/.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 | (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) | |
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b) | |
| cost-diff | 0 | (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))) | |
| cost-diff | 0 | (/.f64 c b) | |
| cost-diff | 0 | (/.f64 (/.f64 c b) b) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))) | |
| cost-diff | 1024 | (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (/.f64 (neg.f64 b) a) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) | |
| cost-diff | 0 | (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) a) | |
| cost-diff | 6848 | (/.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 335 |
| 0 | 67 | 335 |
| 1 | 120 | 329 |
| 2 | 243 | 323 |
| 3 | 495 | 319 |
| 4 | 1220 | 317 |
| 5 | 3870 | 315 |
| 6 | 7193 | 315 |
| 0 | 8197 | 313 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))) |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
(pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 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))) |
(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(literal -1 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
(/.f64 (neg.f64 b) a) |
(neg.f64 b) |
b |
a |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))) |
(fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)) |
(/.f64 (/.f64 c b) b) |
(/.f64 c b) |
c |
b |
(/.f64 (neg.f64 b) a) |
(neg.f64 b) |
a |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))) |
(neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)) |
(/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b) |
(fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) |
(/.f64 c b) |
c |
b |
(/.f64 (*.f64 c a) b) |
(*.f64 c a) |
a |
(/.f64 (fma.f64 b b (fma.f64 (*.f64 #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 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) a)) |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
(pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) |
(pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) #s(literal -1 binary64)) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
(*.f64 c #s(literal -4 binary64)) |
#s(literal -4 binary64) |
c |
(*.f64 b b) |
b |
#s(literal -1 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
(/.f64 (neg.f64 b) a) |
(neg.f64 b) |
b |
a |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 (/.f64 c b) b) |
(/.f64 c b) |
c |
b |
(/.f64 (neg.f64 b) a) |
(neg.f64 b) |
a |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 (fma.f64 (/.f64 (/.f64 a b) b) c #s(literal 1 binary64)) b) (neg.f64 c))) |
(neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)) |
(*.f64 (/.f64 (fma.f64 (/.f64 (/.f64 a b) b) c #s(literal 1 binary64)) b) (neg.f64 c)) |
(/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b) |
(/.f64 (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) b) |
(fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) |
(fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) |
(/.f64 c b) |
c |
b |
(/.f64 (*.f64 c a) b) |
(*.f64 (/.f64 c b) a) |
(*.f64 c a) |
a |
(/.f64 (fma.f64 b b (fma.f64 (*.f64 #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 (fma.f64 (*.f64 c a) #s(literal -2 binary64) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) a) |
(fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
b |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
(*.f64 c #s(literal -4 binary64)) |
#s(literal -4 binary64) |
c |
a |
(*.f64 b b) |
(*.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 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) a) #s(literal -2 binary64)) |
(*.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 c #s(literal -4 binary64)) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.5771397497059259 | (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) | |
| accuracy | 14.187871277436622 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) | |
| accuracy | 21.395423571476133 | (/.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 | 26.17667057714975 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) | |
| accuracy | 0.046875 | (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) | |
| accuracy | 0.26226536895700536 | (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b) | |
| accuracy | 5.597551189625987 | (/.f64 (*.f64 c a) b) | |
| accuracy | 42.997914264200524 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))) | |
| accuracy | 0.0 | (neg.f64 b) | |
| accuracy | 0.1484375 | (/.f64 (/.f64 c b) b) | |
| accuracy | 5.406471481493644 | (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)) | |
| accuracy | 40.29659517945619 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))) | |
| accuracy | 0.0 | (/.f64 (neg.f64 b) a) | |
| accuracy | 0.0 | (neg.f64 b) | |
| accuracy | 40.288541060277524 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) | |
| accuracy | 0.14453125 | (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) | |
| accuracy | 2.148778290242288 | (/.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))) | |
| accuracy | 14.187871277436622 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) | |
| accuracy | 26.17667057714975 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
| 89.0ms | 178× | 0 | valid |
| 24.0ms | 49× | 1 | valid |
| 15.0ms | 22× | 2 | valid |
| 6.0ms | 7× | 3 | valid |
Compiled 659 to 84 computations (87.3% saved)
ival-add: 40.0ms (37.3% of total)ival-div: 27.0ms (25.2% of total)ival-mult: 15.0ms (14% of total)adjust: 6.0ms (5.6% of total)ival-sqrt: 6.0ms (5.6% of total)ival-pow: 6.0ms (5.6% of total)ival-sub: 4.0ms (3.7% of total)ival-neg: 2.0ms (1.9% of total)exact: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))) |
(/.f64 #s(literal 1/2 binary64) a) |
(pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) |
(-.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 (neg.f64 b) a)) |
(/.f64 (neg.f64 b) a) |
(neg.f64 b) |
(fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))) |
(/.f64 (/.f64 c b) b) |
(/.f64 c b) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))) |
(neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)) |
(/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b) |
(fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) |
(/.f64 (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) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(/.f64 (*.f64 c a) b) |
(*.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 a) |
(* -1/2 (/ b (* a c))) |
(/ (+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) a) |
(/ (+ (* -1/2 (/ b c)) (* a (+ (* -1 (* a (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a) |
(/ (+ (* -1/2 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (/ (pow c 2) (pow b 5)))))) (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(- (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b)) |
(/ c b) |
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3))) |
c |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(* -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)) |
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)))))))) |
(/ (* a c) b) |
(* -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 (/ 1 (* a c))) (/ 1 (sqrt -4))) |
(/ (+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2)))) a) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (* c (pow (sqrt -4) 2))))) a) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))) a) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(+ (* -1 (/ b a)) (/ c b)) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* a (- (* -1 (/ c (* a b))) (/ (pow c 2) (pow b 3)))) |
(/ (* a (pow c 2)) (pow b 3)) |
(* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))) |
(/ (* a (pow c 2)) (pow b 2)) |
(* a (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(* -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))) |
(* 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 (* (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 (/ 1 (* a c))) (sqrt -1))) |
(* -1 (/ (+ (* 1/4 (/ b c)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* 1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a)) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (/ c (* a b)) (* -1 (/ (pow c 2) (pow b 3)))))) |
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2)))))) |
(* (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)))) |
(* -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)))))))) |
(* -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))))) |
(+ (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))) (/ b (* a (* c (pow (sqrt -4) 2))))) |
(+ (* b (+ (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* a (* c (pow (sqrt -4) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) |
(+ (* b (+ (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* a (* c (pow (sqrt -4) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -1 b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ c (pow b 2)) |
(/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 3)) |
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3)) |
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2)) |
(+ (* -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))))))) |
(+ (* 1/2 (* (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 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 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c))))) |
(* b (- (+ (* -1 (/ (+ (* -1 (* a c)) (* 1/2 (* a c))) (pow b 4))) (* 1/2 (/ 1 (pow b 2)))) (* 1/2 (/ 1 (* a c))))) |
(* b (- (+ (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* a c)) (* 1/2 (* a c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* (pow a 2) (pow c 2)))) (pow b 6))) (* 1/2 (/ 1 (pow b 2)))) (+ (* -1 (/ (* a c) (pow b 4))) (+ (* 1/2 (/ (* a c) (pow b 4))) (* 1/2 (/ 1 (* a c))))))) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(/ (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) b) |
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b) |
(* (pow b 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))))) |
(* 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))))))) |
(/ (+ (* -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 b) |
(* -1 (/ (+ 1/2 (* 1/2 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (- (+ 1/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1/2 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (- (+ 1/2 (* -1 (/ (+ (* -2 (* (pow a 3) (pow c 3))) (* -1/2 (* (pow a 3) (pow c 3)))) (pow b 6)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1/2 (/ (* a c) (pow b 2))))) b)) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (/ (- (/ (* a (pow c 2)) (pow b 2)) (* -1 c)) b)) |
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1/2 (/ 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))))))) |
(* -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)))))))) |
(* -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 a)) (* 1/2 (/ c b))) c) |
(/ (+ (* -1/2 (/ b a)) (* c (+ (* -1 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c) |
(/ (+ (* -1/2 (/ b a)) (* c (+ (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) |
(* c (+ 1 (/ (* a c) (pow b 2)))) |
(/ (+ (* -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) |
(+ 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 (+ (* -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 (/ c a)) (/ 1 (sqrt -4))) (/ b (* a (pow (sqrt -4) 2)))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ b (* a (pow (sqrt -4) 2))))) c) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* a (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) c) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))) |
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))) |
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))) |
(+ (* -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 (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* c (+ (* -2 (/ (* 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 a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* b c) a))) c)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* 1/4 (/ (* b c) a))) c)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c)) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(+ (* -1/2 (/ (- (* (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 (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -1 (* c (+ (* 2 (/ (* a b) 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 | |
|---|---|---|---|---|
| 31.0ms | a | @ | inf | ((/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (neg b) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (/ c b) b) (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (/ (+ (* (/ c b) (/ (* c a) b)) c) b)) (/ (+ (* (/ c b) (/ (* c a) b)) c) b) (+ (* (/ c b) (/ (* c a) b)) c) (/ (+ (* b b) (+ (* (* -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) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (* c a) b) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) |
| 16.0ms | c | @ | -inf | ((/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (neg b) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (/ c b) b) (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (/ (+ (* (/ c b) (/ (* c a) b)) c) b)) (/ (+ (* (/ c b) (/ (* c a) b)) c) b) (+ (* (/ c b) (/ (* c a) b)) c) (/ (+ (* b b) (+ (* (* -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) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (* c a) b) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) |
| 10.0ms | b | @ | -inf | ((/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (neg b) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (/ c b) b) (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (/ (+ (* (/ c b) (/ (* c a) b)) c) b)) (/ (+ (* (/ c b) (/ (* c a) b)) c) b) (+ (* (/ c b) (/ (* c a) b)) c) (/ (+ (* b b) (+ (* (* -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) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (* c a) b) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) |
| 8.0ms | a | @ | 0 | ((/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (neg b) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (/ c b) b) (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (/ (+ (* (/ c b) (/ (* c a) b)) c) b)) (/ (+ (* (/ c b) (/ (* c a) b)) c) b) (+ (* (/ c b) (/ (* c a) b)) c) (/ (+ (* b b) (+ (* (* -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) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (* c a) b) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) |
| 8.0ms | c | @ | inf | ((/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (neg b) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (/ c b) b) (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (/ (+ (* (/ c b) (/ (* c a) b)) c) b)) (/ (+ (* (/ c b) (/ (* c a) b)) c) b) (+ (* (/ c b) (/ (* c a) b)) c) (/ (+ (* b b) (+ (* (* -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) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (* c a) b) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1404 | 7697 |
| 1 | 4729 | 7384 |
| 0 | 8152 | 7084 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(/ 1/2 a) |
(* -1/2 (/ b (* a c))) |
(/ (+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) a) |
(/ (+ (* -1/2 (/ b c)) (* a (+ (* -1 (* a (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a) |
(/ (+ (* -1/2 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (/ (pow c 2) (pow b 5)))))) (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(- (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b)) |
(/ c b) |
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3))) |
c |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(* -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)) |
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)))))))) |
(/ (* a c) b) |
(* -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 (/ 1 (* a c))) (/ 1 (sqrt -4))) |
(/ (+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2)))) a) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (* c (pow (sqrt -4) 2))))) a) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))) a) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(+ (* -1 (/ b a)) (/ c b)) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* a (- (* -1 (/ c (* a b))) (/ (pow c 2) (pow b 3)))) |
(/ (* a (pow c 2)) (pow b 3)) |
(* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))) |
(/ (* a (pow c 2)) (pow b 2)) |
(* a (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(* -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))) |
(* 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 (* (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 (/ 1 (* a c))) (sqrt -1))) |
(* -1 (/ (+ (* 1/4 (/ b c)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* 1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a)) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (/ c (* a b)) (* -1 (/ (pow c 2) (pow b 3)))))) |
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2)))))) |
(* (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)))) |
(* -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)))))))) |
(* -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))))) |
(+ (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))) (/ b (* a (* c (pow (sqrt -4) 2))))) |
(+ (* b (+ (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* a (* c (pow (sqrt -4) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) |
(+ (* b (+ (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* a (* c (pow (sqrt -4) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -1 b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ c (pow b 2)) |
(/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 3)) |
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3)) |
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2)) |
(+ (* -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))))))) |
(+ (* 1/2 (* (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 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 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c))))) |
(* b (- (+ (* -1 (/ (+ (* -1 (* a c)) (* 1/2 (* a c))) (pow b 4))) (* 1/2 (/ 1 (pow b 2)))) (* 1/2 (/ 1 (* a c))))) |
(* b (- (+ (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* a c)) (* 1/2 (* a c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* (pow a 2) (pow c 2)))) (pow b 6))) (* 1/2 (/ 1 (pow b 2)))) (+ (* -1 (/ (* a c) (pow b 4))) (+ (* 1/2 (/ (* a c) (pow b 4))) (* 1/2 (/ 1 (* a c))))))) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(/ (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) b) |
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b) |
(* (pow b 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))))) |
(* 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))))))) |
(/ (+ (* -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 b) |
(* -1 (/ (+ 1/2 (* 1/2 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (- (+ 1/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1/2 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (- (+ 1/2 (* -1 (/ (+ (* -2 (* (pow a 3) (pow c 3))) (* -1/2 (* (pow a 3) (pow c 3)))) (pow b 6)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1/2 (/ (* a c) (pow b 2))))) b)) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (/ (- (/ (* a (pow c 2)) (pow b 2)) (* -1 c)) b)) |
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1/2 (/ 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))))))) |
(* -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)))))))) |
(* -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 a)) (* 1/2 (/ c b))) c) |
(/ (+ (* -1/2 (/ b a)) (* c (+ (* -1 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c) |
(/ (+ (* -1/2 (/ b a)) (* c (+ (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) |
(* c (+ 1 (/ (* a c) (pow b 2)))) |
(/ (+ (* -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) |
(+ 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 (+ (* -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 (/ c a)) (/ 1 (sqrt -4))) (/ b (* a (pow (sqrt -4) 2)))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ b (* a (pow (sqrt -4) 2))))) c) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* a (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) c) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))) |
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))) |
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))) |
(+ (* -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 (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* c (+ (* -2 (/ (* 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 a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* b c) a))) c)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* 1/4 (/ (* b c) a))) c)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c)) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(+ (* -1/2 (/ (- (* (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 (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -1 (* c (+ (* 2 (/ (* a b) 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 a) |
(/.f64 #s(literal 1/2 binary64) a) |
(* -1/2 (/ b (* a c))) |
(*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64)) |
(/ (+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) a) |
(/.f64 (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))) a) |
(/ (+ (* -1/2 (/ b c)) (* a (+ (* -1 (* a (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64)) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -1/2 binary64))) a) |
(/ (+ (* -1/2 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (/ (pow c 2) (pow b 5)))))) (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (neg.f64 c) (*.f64 (/.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) b) (/.f64 #s(literal -1/2 binary64) b)) (fma.f64 (/.f64 #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) |
(* -2 (/ (* a c) b)) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a) |
(* -1 (/ b a)) |
(/.f64 (neg.f64 b) a) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a) |
(- (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b)) |
(neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) |
(/ c b) |
(/.f64 c b) |
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3))) |
(fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)) |
c |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) |
(* -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 (/.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) (fma.f64 (/.f64 (*.f64 (*.f64 b #s(literal 3 binary64)) (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64) (*.f64 (neg.f64 c) (/.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))))) 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)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a b) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a b) |
(/ (* a c) b) |
(*.f64 a (/.f64 c 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) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) (*.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))))))) |
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(* -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 (+ (* 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 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/512 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 #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 (+ (* 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 1/2 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)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 264 |
| 0 | 67 | 264 |
| 1 | 265 | 256 |
| 2 | 2247 | 248 |
| 0 | 8501 | 248 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))) |
(/.f64 #s(literal 1/2 binary64) a) |
(pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) |
(-.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 (neg.f64 b) a)) |
(/.f64 (neg.f64 b) a) |
(neg.f64 b) |
(fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))) |
(/.f64 (/.f64 c b) b) |
(/.f64 c b) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))) |
(neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)) |
(/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b) |
(fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) |
(/.f64 (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) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(/.f64 (*.f64 c a) b) |
(*.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 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 a) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 b b (+.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 a #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) #s(literal -1/2 binary64)) (pow.f64 a #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) a)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal -1 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) #s(literal -1/2 binary64))) (/.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) #s(literal 1/2 binary64)) (pow.f64 a #s(literal -1 binary64))) |
(*.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) (/.f64 #s(literal -1/2 binary64) a)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (/.f64 #s(literal 1/2 binary64) a))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (/.f64 #s(literal 1/2 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) #s(literal -1 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal -1 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) |
(pow.f64 (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) #s(literal -1 binary64)) a) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) a)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)))) (neg.f64 a)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))) (neg.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) a))) (neg.f64 (fma.f64 b b (+.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) (neg.f64 (neg.f64 a))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) (neg.f64 a)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 a))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)))) (neg.f64 (neg.f64 (*.f64 #s(literal -2 binary64) a)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 1 binary64))) (neg.f64 (*.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 (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 b b (+.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) (*.f64 #s(literal 2 binary64) a)))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) a) #s(literal 2 binary64)) |
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) #s(literal -1/2 binary64))) |
(/.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) a) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) a)) (fma.f64 b b (+.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) (neg.f64 a)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 b b (+.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) #s(literal 1/2 binary64))) (neg.f64 a)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) (neg.f64 (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))))) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 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 (-.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 b b (+.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) #s(literal 1/2 binary64)) a) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))) |
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(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 c b) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 c b) (/.f64 b a)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b c) #s(literal -3 binary64)) (pow.f64 (/.f64 b a) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 c b) #s(literal 2 binary64)) (/.f64 (*.f64 c #s(literal 1 binary64)) (neg.f64 a)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b c) #s(literal -3 binary64)) (pow.f64 (/.f64 b a) #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (/.f64 (*.f64 c #s(literal 1 binary64)) (neg.f64 a))) (pow.f64 (/.f64 c b) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 c #s(literal 1 binary64)) (neg.f64 a)) (*.f64 b b)) (*.f64 b (neg.f64 a))) |
(/.f64 (-.f64 (*.f64 (*.f64 c #s(literal 1 binary64)) (/.f64 (neg.f64 a) b)) (*.f64 b #s(literal 1 binary64))) (*.f64 b (/.f64 (neg.f64 a) b))) |
(/.f64 (-.f64 (*.f64 (*.f64 c #s(literal 1 binary64)) a) (*.f64 b (neg.f64 b))) (*.f64 b a)) |
(/.f64 (fma.f64 (*.f64 c #s(literal 1 binary64)) (neg.f64 a) (*.f64 b b)) (*.f64 b (neg.f64 a))) |
(/.f64 (fma.f64 (*.f64 c #s(literal 1 binary64)) (/.f64 (neg.f64 a) b) (*.f64 b #s(literal 1 binary64))) (*.f64 b (/.f64 (neg.f64 a) b))) |
(/.f64 (fma.f64 (*.f64 c #s(literal 1 binary64)) a (*.f64 b (neg.f64 b))) (*.f64 b a)) |
(/.f64 (fma.f64 b b (*.f64 (neg.f64 a) (*.f64 c #s(literal 1 binary64)))) (*.f64 (neg.f64 a) b)) |
(/.f64 (+.f64 b (*.f64 (/.f64 (neg.f64 a) b) (*.f64 c #s(literal 1 binary64)))) (*.f64 (/.f64 (neg.f64 a) b) b)) |
(/.f64 (fma.f64 (neg.f64 b) b (*.f64 a (*.f64 c #s(literal 1 binary64)))) (*.f64 a b)) |
(/.f64 (-.f64 (pow.f64 (/.f64 c b) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (-.f64 (/.f64 c b) (/.f64 b a))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (-.f64 (pow.f64 (/.f64 c b) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (/.f64 (*.f64 c #s(literal 1 binary64)) (neg.f64 a))) (pow.f64 (/.f64 c b) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 b c) #s(literal -3 binary64)) (pow.f64 (/.f64 b a) #s(literal 3 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (-.f64 (pow.f64 (/.f64 c b) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (/.f64 (*.f64 c #s(literal 1 binary64)) (neg.f64 a))) (pow.f64 (/.f64 c b) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 b c) #s(literal -3 binary64)) (pow.f64 (/.f64 b a) #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 c #s(literal 1 binary64)) (pow.f64 b #s(literal -1 binary64)) (neg.f64 (/.f64 (neg.f64 b) a))) |
(fma.f64 (*.f64 c #s(literal 1 binary64)) (pow.f64 b #s(literal -1 binary64)) (/.f64 b a)) |
(fma.f64 (*.f64 c #s(literal 1 binary64)) (pow.f64 b #s(literal -1 binary64)) (/.f64 (neg.f64 b) a)) |
(fma.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)) (/.f64 c b)) |
(fma.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 b) (/.f64 c b)) |
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(fma.f64 (pow.f64 b #s(literal -1 binary64)) (pow.f64 (pow.f64 c #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 b a)) |
(fma.f64 (pow.f64 b #s(literal -1 binary64)) (pow.f64 (pow.f64 c #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 b) a)) |
(fma.f64 (pow.f64 b #s(literal -1 binary64)) c (neg.f64 (/.f64 (neg.f64 b) a))) |
(fma.f64 (pow.f64 b #s(literal -1 binary64)) c (/.f64 b a)) |
(fma.f64 (pow.f64 b #s(literal -1 binary64)) c (/.f64 (neg.f64 b) a)) |
(fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (neg.f64 (/.f64 (neg.f64 b) a))) |
(fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a)) |
(fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 (neg.f64 b) a)) |
(fma.f64 #s(literal 1 binary64) (/.f64 c b) (neg.f64 (/.f64 (neg.f64 b) a))) |
(fma.f64 #s(literal 1 binary64) (/.f64 c b) (/.f64 b a)) |
(fma.f64 #s(literal 1 binary64) (/.f64 c b) (/.f64 (neg.f64 b) a)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) a) (/.f64 c b)) |
(fma.f64 (/.f64 (/.f64 c b) b) b (neg.f64 (/.f64 (neg.f64 b) a))) |
(fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 b a)) |
(fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)) |
(fma.f64 (/.f64 c b) (/.f64 b b) (neg.f64 (/.f64 (neg.f64 b) a))) |
(fma.f64 (/.f64 c b) (/.f64 b b) (/.f64 b a)) |
(fma.f64 (/.f64 c b) (/.f64 b b) (/.f64 (neg.f64 b) a)) |
(fma.f64 (/.f64 c b) #s(literal 1 binary64) (neg.f64 (/.f64 (neg.f64 b) a))) |
(fma.f64 (/.f64 c b) #s(literal 1 binary64) (/.f64 b a)) |
(fma.f64 (/.f64 c b) #s(literal 1 binary64) (/.f64 (neg.f64 b) a)) |
(fma.f64 (neg.f64 b) (pow.f64 a #s(literal -1 binary64)) (/.f64 c b)) |
(fma.f64 #s(literal -1 binary64) (/.f64 b a) (/.f64 c b)) |
(fma.f64 b (pow.f64 (neg.f64 a) #s(literal -1 binary64)) (/.f64 c b)) |
(fma.f64 b (/.f64 (/.f64 c b) b) (neg.f64 (/.f64 (neg.f64 b) a))) |
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(fma.f64 c (pow.f64 b #s(literal -1 binary64)) (neg.f64 (/.f64 (neg.f64 b) a))) |
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(-.f64 (/.f64 c b) (/.f64 b a)) |
(-.f64 (/.f64 c b) (/.f64 (neg.f64 b) a)) |
(+.f64 (/.f64 c b) (neg.f64 (/.f64 (neg.f64 b) a))) |
(+.f64 (/.f64 c b) (/.f64 b a)) |
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a)) |
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
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(pow.f64 (/.f64 (/.f64 b (/.f64 c b)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 b b) c) #s(literal -1 binary64)) |
(pow.f64 (/.f64 b (/.f64 c b)) #s(literal -1 binary64)) |
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(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 (neg.f64 (*.f64 b b)))) |
(/.f64 (neg.f64 (neg.f64 c)) (*.f64 b b)) |
(/.f64 (neg.f64 (*.f64 c #s(literal 1 binary64))) (neg.f64 (*.f64 b b))) |
(/.f64 (*.f64 (neg.f64 c) #s(literal 1 binary64)) (*.f64 (neg.f64 b) b)) |
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(/.f64 (pow.f64 b #s(literal -1 binary64)) (/.f64 b c)) |
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(/.f64 (neg.f64 c) (*.f64 b (neg.f64 b))) |
(/.f64 (/.f64 c (neg.f64 b)) (neg.f64 b)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) c)) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 c b))) |
(/.f64 (/.f64 c b) b) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 b (/.f64 c b)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b b) c))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (/.f64 c b)))) |
(/.f64 c (*.f64 b b)) |
(neg.f64 (/.f64 (/.f64 c (neg.f64 b)) b)) |
(exp.f64 (*.f64 (log.f64 (/.f64 b (/.f64 c b))) #s(literal -1 binary64))) |
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(*.f64 (/.f64 (/.f64 c b) b) b) |
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(*.f64 (/.f64 c b) #s(literal 1 binary64)) |
(*.f64 b (/.f64 (/.f64 c b) b)) |
(*.f64 c (pow.f64 b #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 b c) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 b (*.f64 c #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 b c) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 c (neg.f64 b)) b)) b) |
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(/.f64 (neg.f64 (*.f64 b c)) (neg.f64 (*.f64 b b))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 c #s(literal 1 binary64)))) b) |
(/.f64 (neg.f64 (*.f64 b #s(literal 1 binary64))) (neg.f64 (/.f64 b (/.f64 c b)))) |
(/.f64 (neg.f64 (*.f64 c b)) (neg.f64 (*.f64 b b))) |
(/.f64 (neg.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64))) (neg.f64 b)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 c))) (neg.f64 b)) |
(/.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) b) |
(/.f64 (*.f64 (/.f64 c (neg.f64 b)) b) (neg.f64 b)) |
(/.f64 (*.f64 c b) (*.f64 b b)) |
(/.f64 (*.f64 b (/.f64 c (neg.f64 b))) (neg.f64 b)) |
(/.f64 (*.f64 b c) (*.f64 b b)) |
(/.f64 (neg.f64 (neg.f64 c)) b) |
(/.f64 (neg.f64 (*.f64 c #s(literal 1 binary64))) (neg.f64 b)) |
(/.f64 (*.f64 b #s(literal 1 binary64)) (/.f64 b (/.f64 c b))) |
(/.f64 (*.f64 c #s(literal 1 binary64)) b) |
(/.f64 (neg.f64 c) (neg.f64 b)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 b c)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 c #s(literal 1 binary64)))) |
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(/.f64 (neg.f64 b) (neg.f64 (/.f64 b (/.f64 c b)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (*.f64 c #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 b c) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b c))) |
(/.f64 b (/.f64 b (/.f64 c b))) |
(/.f64 c b) |
(neg.f64 (/.f64 c (neg.f64 b))) |
(exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) (neg.f64 b))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c)) (pow.f64 b #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) (neg.f64 (pow.f64 b #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) (/.f64 #s(literal -1 binary64) b)) |
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b)) |
(pow.f64 (/.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (/.f64 b (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) #s(literal -1 binary64))) (neg.f64 b)) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c)))) b) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 b (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c)) #s(literal -2 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 b (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c)) #s(literal -3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 b (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c)) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b)))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c)))) b) |
(/.f64 (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) #s(literal -1 binary64)) b) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c))) (neg.f64 b)) |
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c))) (neg.f64 b)) |
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(/.f64 (neg.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c)) b) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 b (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c)))) |
(/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) (neg.f64 b)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c)))) |
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(/.f64 (neg.f64 (*.f64 (*.f64 c a) #s(literal 1 binary64))) (neg.f64 b)) |
(/.f64 (/.f64 (*.f64 (neg.f64 a) c) #s(literal -1 binary64)) b) |
(/.f64 (neg.f64 (*.f64 (neg.f64 a) c)) b) |
(/.f64 (*.f64 (*.f64 c a) #s(literal 1 binary64)) b) |
(/.f64 (*.f64 (neg.f64 a) c) (neg.f64 b)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 b (*.f64 c a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (*.f64 c a)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 c a))) |
(/.f64 (*.f64 c a) b) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 b (*.f64 c a)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (*.f64 c a)))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 a) c) b)) |
(exp.f64 (*.f64 (log.f64 (/.f64 b (*.f64 c a))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) #s(literal 2 binary64)) a) |
(*.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) a) #s(literal 2 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) |
(*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) a)) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 a (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (*.f64 b b)) (*.f64 #s(literal 2 binary64) a))) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) a))) (neg.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (*.f64 b b)))) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) |
(/.f64 (*.f64 (-.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (*.f64 b b)) (*.f64 #s(literal 2 binary64) a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) a)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (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)))) |
(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 (*.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 68 000 to 6 301 computations (90.7% saved)
28 alts after pruning (27 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 658 | 23 | 1 681 |
| Fresh | 4 | 4 | 8 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 666 | 28 | 1 694 |
| Status | Accuracy | Program |
|---|---|---|
| 48.8% | (/.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)))) | |
| ▶ | 51.7% | (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) |
| 27.6% | (/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) c))) | |
| ▶ | 36.9% | (/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (/.f64 #s(literal -1/2 binary64) b))) |
| 26.7% | (/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) (*.f64 c a))) b))) | |
| 51.4% | (/.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)) | |
| 33.0% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) | |
| 27.6% | (/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) a)) (fma.f64 b b (+.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)))) | |
| ▶ | 26.1% | (/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) |
| 24.7% | (/.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))) | |
| 27.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 51.6% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
| 51.6% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) | |
| ▶ | 32.7% | #s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 (neg.f64 c) b)) |
| 7.1% | #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))) | |
| 2.3% | #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)) | |
| 7.6% | #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))) | |
| 3.1% | #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)) | |
| 6.8% | #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)))) | |
| 16.3% | #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))) | |
| 2.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a))) | |
| 2.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c #s(literal 1 binary64)) (/.f64 a b) (*.f64 b #s(literal 1 binary64))) (*.f64 b (/.f64 a b)))) | |
| 25.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a))) | |
| ✓ | 37.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
| 36.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b))) | |
| 37.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) | |
| 2.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+.f64 (/.f64 c b) (/.f64 b a))) | |
| 30.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) b))) |
Compiled 1 782 to 1 147 computations (35.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 b b) | |
| cost-diff | 128 | (/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) | |
| cost-diff | 896 | (-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) | |
| cost-diff | 1024 | (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) | |
| cost-diff | 0 | (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) | |
| cost-diff | 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))) | |
| cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) b) | |
| cost-diff | 0 | #s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (/.f64 #s(literal -1/2 binary64) b)) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) a) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (/.f64 #s(literal -1/2 binary64) b))) | |
| cost-diff | 0 | (neg.f64 c) | |
| cost-diff | 0 | (/.f64 (neg.f64 c) b) | |
| cost-diff | 0 | #s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 (neg.f64 c) b)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) a) | |
| cost-diff | 6848 | (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 320 |
| 0 | 67 | 322 |
| 1 | 109 | 316 |
| 2 | 194 | 295 |
| 3 | 474 | 291 |
| 4 | 1695 | 286 |
| 5 | 5082 | 286 |
| 0 | 8181 | 286 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) |
#s(literal 1 binary64) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) |
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) |
(*.f64 c #s(literal -4 binary64)) |
c |
#s(literal -4 binary64) |
(*.f64 b b) |
b |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 (neg.f64 c) b)) |
(/.f64 (neg.f64 c) b) |
(neg.f64 c) |
c |
b |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (/.f64 #s(literal -1/2 binary64) b))) |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
#s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (/.f64 #s(literal -1/2 binary64) b)) |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
b |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
#s(literal 1/2 binary64) |
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
a |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
c |
(*.f64 b b) |
b |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) |
(*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) |
(-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) |
(*.f64 b 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 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) |
(neg.f64 b) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) 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 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) |
(pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) 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 c #s(literal -4 binary64)) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) |
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) |
(*.f64 c #s(literal -4 binary64)) |
(*.f64 #s(literal -4 binary64) c) |
c |
#s(literal -4 binary64) |
(*.f64 b b) |
b |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 (neg.f64 c) b)) |
(/.f64 (neg.f64 c) b) |
(neg.f64 c) |
c |
b |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (/.f64 #s(literal -1/2 binary64) b))) |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
#s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (/.f64 #s(literal -1/2 binary64) b)) |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
b |
(/.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) |
#s(literal -4 binary64) |
c |
(*.f64 b b) |
b |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) |
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) c) #s(literal -1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)) |
(*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) |
(*.f64 (*.f64 #s(literal -4 binary64) c) #s(literal -1/2 binary64)) |
(-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) |
(*.f64 #s(literal 4 binary64) (*.f64 c a)) |
(*.f64 b b) |
b |
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) |
(*.f64 c #s(literal -4 binary64)) |
(*.f64 #s(literal -4 binary64) c) |
c |
#s(literal -4 binary64) |
a |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
(-.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) a) c (*.f64 b b)))) |
(neg.f64 b) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) 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 | 12.884843522478741 | (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) | |
| accuracy | 17.99106327942819 | (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) | |
| accuracy | 26.17667057714975 | (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) | |
| accuracy | 33.06550201960838 | (-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) | |
| accuracy | 0.5711067846208431 | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) | |
| accuracy | 2.0320509558076987 | (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) | |
| accuracy | 14.187871277436622 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) | |
| accuracy | 26.17667057714975 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) | |
| accuracy | 0.0 | (/.f64 #s(literal 1/2 binary64) a) | |
| accuracy | 0.0 | (/.f64 #s(literal -1/2 binary64) b) | |
| accuracy | 2.148778290242288 | (/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (/.f64 #s(literal -1/2 binary64) b))) | |
| accuracy | 40.46218532055258 | #s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (/.f64 #s(literal -1/2 binary64) b)) | |
| accuracy | 0.0 | (/.f64 (neg.f64 c) b) | |
| accuracy | 0.0 | (neg.f64 c) | |
| accuracy | 43.048088460131844 | #s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 (neg.f64 c) b)) | |
| accuracy | 0.14453125 | (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) | |
| accuracy | 2.148778290242288 | (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) | |
| accuracy | 14.187871277436622 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) | |
| accuracy | 26.17667057714975 | (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) |
| 64.0ms | 86× | 1 | valid |
| 51.0ms | 17× | 3 | valid |
| 37.0ms | 62× | 2 | valid |
| 31.0ms | 91× | 0 | valid |
Compiled 652 to 80 computations (87.7% saved)
ival-div: 30.0ms (28.7% of total)adjust: 29.0ms (27.8% of total)ival-sub: 12.0ms (11.5% of total)ival-mult: 10.0ms (9.6% of total)ival-sqrt: 8.0ms (7.7% of total)ival-pow: 7.0ms (6.7% of total)ival-add: 5.0ms (4.8% of total)ival-neg: 2.0ms (1.9% of total)exact: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) |
(/.f64 #s(literal 1/2 binary64) a) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 (neg.f64 c) b)) |
(/.f64 (neg.f64 c) b) |
(neg.f64 c) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (/.f64 #s(literal -1/2 binary64) b)) |
(/.f64 #s(literal -1/2 binary64) b) |
(/.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))) |
(*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) |
(-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) |
(*.f64 b b) |
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) |
| Outputs |
|---|
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(/ 1/2 a) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* -1/2 (/ b (* a c))) |
(/ (+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) a) |
(/ (+ (* -1/2 (/ b c)) (* a (+ (* -1 (* a (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a) |
(/ (+ (* -1/2 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (/ (pow c 2) (pow b 5)))))) (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a) |
(* -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 c) |
(* 4 (* a c)) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* 2 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7))))))))))) |
(* -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 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))) |
(/ (+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2)))) a) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (* c (pow (sqrt -4) 2))))) a) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))) a) |
(* (sqrt (/ a c)) (/ 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))))))) |
(* -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) |
(* -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))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(* -1 (/ (+ (* 1/4 (/ b c)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* 1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a)) |
(* -1/2 (* (sqrt (/ 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)))) |
(* (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)) |
(* 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)))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(+ (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))) (/ b (* a (* c (pow (sqrt -4) 2))))) |
(+ (* b (+ (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* a (* c (pow (sqrt -4) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) |
(+ (* b (+ (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* a (* c (pow (sqrt -4) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) |
(/ -1/2 b) |
(+ (* b (+ (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(+ (* b (+ (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(+ (* -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))))))) |
(pow b 2) |
(- (* -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 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* b (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c))))) |
(* b (- (+ (* -1 (/ (+ (* -1 (* a c)) (* 1/2 (* a c))) (pow b 4))) (* 1/2 (/ 1 (pow b 2)))) (* 1/2 (/ 1 (* a c))))) |
(* b (- (+ (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* a c)) (* 1/2 (* a c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* (pow a 2) (pow c 2)))) (pow b 6))) (* 1/2 (/ 1 (pow b 2)))) (+ (* -1 (/ (* a c) (pow b 4))) (+ (* 1/2 (/ (* a c) (pow b 4))) (* 1/2 (/ 1 (* a c))))))) |
(* 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 (/ (* (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 (- (* 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))))))) |
(* -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 (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (/ (+ 1/2 (* 1/2 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (- (+ 1/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1/2 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (- (+ 1/2 (* -1 (/ (+ (* -2 (* (pow a 3) (pow c 3))) (* -1/2 (* (pow a 3) (pow c 3)))) (pow b 6)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1/2 (/ (* a c) (pow b 2))))) b)) |
(* -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 (+ (* -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)))))) |
(* -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)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* -1 c) |
(/ (+ (* -1/2 (/ b a)) (* 1/2 (/ c b))) c) |
(/ (+ (* -1/2 (/ b a)) (* c (+ (* -1 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c) |
(/ (+ (* -1/2 (/ b a)) (* c (+ (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c) |
(/ (+ (* -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 (- (* 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))) |
(- (* 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)) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(/ (+ (* (sqrt (/ c a)) (/ 1 (sqrt -4))) (/ b (* a (pow (sqrt -4) 2)))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ b (* a (pow (sqrt -4) 2))))) c) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* a (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) c) |
(/ (+ (* (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) |
(- (+ (* -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 (- (* -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))))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -1 (/ (+ (* 1/4 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* b c) a))) c)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* 1/4 (/ (* b c) a))) c)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* 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)) |
(+ (* -1/2 (/ 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 (- (/ 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)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | c | @ | -inf | ((/ (/ 1/2 a) (/ 1 (- (sqrt (+ (* (* c -4) a) (* b b))) b))) (/ 1/2 a) (- (sqrt (+ (* (* c -4) a) (* b b))) b) (sqrt (+ (* (* c -4) a) (* b b))) (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/ (neg c) b) (neg c) (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (/ -1/2 b) (/ 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))) (* (- (* b b) (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (- (* b b) (+ (* (* c -4) a) (* b b))) (/ (* (- (* b b) (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (- (neg b) (sqrt (+ (* (* c -4) a) (* b b))))) (* b b) (/ 1 (- (sqrt (+ (* (* c -4) a) (* b b))) b)) (- (neg b) (sqrt (+ (* (* c -4) a) (* b b))))) |
| 7.0ms | b | @ | -inf | ((/ (/ 1/2 a) (/ 1 (- (sqrt (+ (* (* c -4) a) (* b b))) b))) (/ 1/2 a) (- (sqrt (+ (* (* c -4) a) (* b b))) b) (sqrt (+ (* (* c -4) a) (* b b))) (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/ (neg c) b) (neg c) (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (/ -1/2 b) (/ 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))) (* (- (* b b) (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (- (* b b) (+ (* (* c -4) a) (* b b))) (/ (* (- (* b b) (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (- (neg b) (sqrt (+ (* (* c -4) a) (* b b))))) (* b b) (/ 1 (- (sqrt (+ (* (* c -4) a) (* b b))) b)) (- (neg b) (sqrt (+ (* (* c -4) a) (* b b))))) |
| 6.0ms | a | @ | inf | ((/ (/ 1/2 a) (/ 1 (- (sqrt (+ (* (* c -4) a) (* b b))) b))) (/ 1/2 a) (- (sqrt (+ (* (* c -4) a) (* b b))) b) (sqrt (+ (* (* c -4) a) (* b b))) (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/ (neg c) b) (neg c) (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (/ -1/2 b) (/ 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))) (* (- (* b b) (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (- (* b b) (+ (* (* c -4) a) (* b b))) (/ (* (- (* b b) (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (- (neg b) (sqrt (+ (* (* c -4) a) (* b b))))) (* b b) (/ 1 (- (sqrt (+ (* (* c -4) a) (* b b))) b)) (- (neg b) (sqrt (+ (* (* c -4) a) (* b b))))) |
| 5.0ms | c | @ | inf | ((/ (/ 1/2 a) (/ 1 (- (sqrt (+ (* (* c -4) a) (* b b))) b))) (/ 1/2 a) (- (sqrt (+ (* (* c -4) a) (* b b))) b) (sqrt (+ (* (* c -4) a) (* b b))) (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/ (neg c) b) (neg c) (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (/ -1/2 b) (/ 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))) (* (- (* b b) (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (- (* b b) (+ (* (* c -4) a) (* b b))) (/ (* (- (* b b) (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (- (neg b) (sqrt (+ (* (* c -4) a) (* b b))))) (* b b) (/ 1 (- (sqrt (+ (* (* c -4) a) (* b b))) b)) (- (neg b) (sqrt (+ (* (* c -4) a) (* b b))))) |
| 4.0ms | a | @ | -inf | ((/ (/ 1/2 a) (/ 1 (- (sqrt (+ (* (* c -4) a) (* b b))) b))) (/ 1/2 a) (- (sqrt (+ (* (* c -4) a) (* b b))) b) (sqrt (+ (* (* c -4) a) (* b b))) (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/ (neg c) b) (neg c) (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (/ -1/2 b) (/ 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))) (* (- (* b b) (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (- (* b b) (+ (* (* c -4) a) (* b b))) (/ (* (- (* b b) (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (- (neg b) (sqrt (+ (* (* c -4) a) (* b b))))) (* b b) (/ 1 (- (sqrt (+ (* (* c -4) a) (* b b))) b)) (- (neg b) (sqrt (+ (* (* c -4) a) (* b b))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1322 | 6995 |
| 1 | 4497 | 6724 |
| 0 | 8850 | 6495 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(/ 1/2 a) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* -1/2 (/ b (* a c))) |
(/ (+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) a) |
(/ (+ (* -1/2 (/ b c)) (* a (+ (* -1 (* a (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a) |
(/ (+ (* -1/2 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (/ (pow c 2) (pow b 5)))))) (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a) |
(* -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 c) |
(* 4 (* a c)) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* 2 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7))))))))))) |
(* -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 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))) |
(/ (+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2)))) a) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (* c (pow (sqrt -4) 2))))) a) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))) a) |
(* (sqrt (/ a c)) (/ 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))))))) |
(* -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) |
(* -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))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(* -1 (/ (+ (* 1/4 (/ b c)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* 1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a)) |
(* -1/2 (* (sqrt (/ 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)))) |
(* (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)) |
(* 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)))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(+ (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))) (/ b (* a (* c (pow (sqrt -4) 2))))) |
(+ (* b (+ (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* a (* c (pow (sqrt -4) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) |
(+ (* b (+ (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* a (* c (pow (sqrt -4) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) |
(/ -1/2 b) |
(+ (* b (+ (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(+ (* b (+ (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(+ (* -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))))))) |
(pow b 2) |
(- (* -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 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* b (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c))))) |
(* b (- (+ (* -1 (/ (+ (* -1 (* a c)) (* 1/2 (* a c))) (pow b 4))) (* 1/2 (/ 1 (pow b 2)))) (* 1/2 (/ 1 (* a c))))) |
(* b (- (+ (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* a c)) (* 1/2 (* a c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* (pow a 2) (pow c 2)))) (pow b 6))) (* 1/2 (/ 1 (pow b 2)))) (+ (* -1 (/ (* a c) (pow b 4))) (+ (* 1/2 (/ (* a c) (pow b 4))) (* 1/2 (/ 1 (* a c))))))) |
(* 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 (/ (* (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 (- (* 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))))))) |
(* -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 (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (/ (+ 1/2 (* 1/2 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (- (+ 1/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1/2 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (- (+ 1/2 (* -1 (/ (+ (* -2 (* (pow a 3) (pow c 3))) (* -1/2 (* (pow a 3) (pow c 3)))) (pow b 6)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1/2 (/ (* a c) (pow b 2))))) b)) |
(* -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 (+ (* -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)))))) |
(* -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)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* -1 c) |
(/ (+ (* -1/2 (/ b a)) (* 1/2 (/ c b))) c) |
(/ (+ (* -1/2 (/ b a)) (* c (+ (* -1 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c) |
(/ (+ (* -1/2 (/ b a)) (* c (+ (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c) |
(/ (+ (* -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 (- (* 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))) |
(- (* 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)) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(/ (+ (* (sqrt (/ c a)) (/ 1 (sqrt -4))) (/ b (* a (pow (sqrt -4) 2)))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ b (* a (pow (sqrt -4) 2))))) c) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* a (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) c) |
(/ (+ (* (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) |
(- (+ (* -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 (- (* -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))))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -1 (/ (+ (* 1/4 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* b c) a))) c)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* 1/4 (/ (* b c) a))) c)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* 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)) |
(+ (* -1/2 (/ 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 (- (/ 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)))))) |
| Outputs |
|---|
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(-.f64 (/.f64 (neg.f64 c) b) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal -2 binary64) (/.f64 (neg.f64 (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (neg.f64 (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) |
(/ 1/2 a) |
(/.f64 #s(literal 1/2 binary64) a) |
(* -2 (/ (* a c) b)) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c b) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))))) a) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c b) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))))) a b) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a b) |
(* -1/2 (/ b (* a c))) |
(*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64)) |
(/ (+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) a) |
(/.f64 (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))) a) |
(/ (+ (* -1/2 (/ b c)) (* a (+ (* -1 (* a (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a) |
(/.f64 (fma.f64 (fma.f64 (neg.f64 a) (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -1/2 binary64))) a) |
(/ (+ (* -1/2 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (/ (pow c 2) (pow b 5)))))) (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (-.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)) b) (/.f64 c b))) (*.f64 (/.f64 (neg.f64 c) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -1/2 binary64))) a) |
(* -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 (neg.f64 a) (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -1/2 binary64))) |
(+ (* -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) (-.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)) b) (/.f64 c b))) (*.f64 (/.f64 (neg.f64 c) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -1/2 binary64))) |
(* 2 c) |
(*.f64 #s(literal 2 binary64) c) |
(* 4 (* a c)) |
(*.f64 (*.f64 c a) #s(literal 4 binary64)) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* 2 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7))))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -5/2 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (neg.f64 (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) |
(* -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 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 c b))) a (*.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 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (*.f64 #s(literal 2 binary64) (/.f64 c b))) a (*.f64 #s(literal -2 binary64) b)) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64)) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a)) a) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a))) a) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a)))) a) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64))))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))))) a) |
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64))) |
(/ (+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2)))) a) |
(/.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 b c))) a) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (* c (pow (sqrt -4) 2))))) a) |
(/.f64 (-.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64))) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))))) a) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 #s(literal 1/4 binary64) (/.f64 b c))) a) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))) a) |
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(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(*.f64 (neg.f64 c) (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.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))) c))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(*.f64 (neg.f64 c) (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 (-.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) c)) c))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64) (/.f64 b c))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (neg.f64 b)) c))) |
(* -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 (neg.f64 c) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))))) c) b) c))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/512 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))))))) |
(* -1 (/ (+ (* 1/4 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 b a)))) c) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* b c) a))) c)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c)) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/16 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 b (/.f64 c a)))) c))) c) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* 1/4 (/ (* b c) a))) c)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c)) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/32 binary64) a) (/.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) c) a) (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 -1/16 binary64))) (*.f64 (neg.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 -1/16 binary64)))) c) #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 b (/.f64 c a)))) c))) c) |
(* -1 (/ (+ (* 1/4 b) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) b))) c) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) (* 1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/16 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 b c))) c))) c) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* (pow b 3) c) a)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* 1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) #s(literal 1/2 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 (neg.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)))) c) #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 b c))) c))) c) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) |
(+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 (fma.f64 (*.f64 #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 #s(literal 1/2 binary64) (*.f64 b (/.f64 c a)))) 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))) |
(-.f64 (*.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 #s(literal 1/2 binary64) (*.f64 b (/.f64 c a)))) c)) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (-.f64 (/.f64 b c) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64)))) |
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (neg.f64 b)) c) #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))) |
(* -1 (* c (- (* -1 (/ (- (* -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 (neg.f64 c) (fma.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))))) c) b) c) #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 242 |
| 0 | 67 | 232 |
| 1 | 254 | 224 |
| 2 | 1482 | 212 |
| 0 | 8404 | 212 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) |
(/.f64 #s(literal 1/2 binary64) a) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 (neg.f64 c) b)) |
(/.f64 (neg.f64 c) b) |
(neg.f64 c) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (/.f64 #s(literal -1/2 binary64) b)) |
(/.f64 #s(literal -1/2 binary64) b) |
(/.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))) |
(*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) |
(-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) |
(*.f64 b b) |
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) |
| Outputs |
|---|
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a)) #s(literal 1/2 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)))) (/.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)))) (/.f64 (*.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a))) (pow.f64 (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a))) (/.f64 (*.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a))) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) #s(literal -1 binary64)))) |
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(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) a) (/.f64 (pow.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal -1 binary64)) #s(literal 2 binary64))) |
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(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (/.f64 (*.f64 (neg.f64 b) b) (pow.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal -1 binary64))) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)))) |
(fma.f64 (pow.f64 (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 (*.f64 b b) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) #s(literal -1 binary64))) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)))) |
(fma.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 b b) (pow.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal -1 binary64))) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)))) |
(fma.f64 (*.f64 (neg.f64 b) b) (pow.f64 b #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 0 binary64))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)) (/.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)))) |
(fma.f64 (neg.f64 b) (/.f64 (neg.f64 b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)))) |
(fma.f64 (neg.f64 b) (/.f64 b (fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)))) |
(fma.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) #s(literal -1 binary64)) (/.f64 (*.f64 b b) #s(literal 1 binary64)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 b) b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 b b) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)))) |
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) |
(fma.f64 #s(literal -1 binary64) b (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) |
(fma.f64 (*.f64 b b) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) #s(literal -1 binary64)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)))) |
(fma.f64 b (/.f64 (neg.f64 b) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)))) |
(fma.f64 b (/.f64 b (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)))) |
(fma.f64 b #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)))) |
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)) (/.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b))) |
(-.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)) (/.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b))) |
(-.f64 (/.f64 (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 c a))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)) (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b))) |
(-.f64 (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b))) |
(-.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))))) |
(-.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) b) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) |
(+.f64 (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)))) |
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (neg.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))))) |
(+.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (neg.f64 b)) |
(+.f64 #s(literal 0 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) |
(+.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) |
Compiled 51 789 to 4 838 computations (90.7% saved)
35 alts after pruning (31 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 250 | 15 | 1 265 |
| Fresh | 6 | 16 | 22 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 258 | 35 | 1 293 |
| Status | Accuracy | Program |
|---|---|---|
| 36.8% | (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (+ (* (* c -4) a) (* b b))) b) (*.f64 (neg.f64 b) (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)))))) | |
| 27.6% | (/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c))) | |
| ✓ | 36.9% | (/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (/.f64 #s(literal -1/2 binary64) b))) |
| 33.0% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) | |
| 27.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) | |
| 47.9% | (/.f64 #s(approx (* (- (* b b) (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (*.f64 #s(literal 2 binary64) c)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) | |
| ✓ | 51.6% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
| 36.9% | (/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (/.f64 #s(literal -1/2 binary64) b)) a)) | |
| 32.7% | (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))))) | |
| 32.6% | (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c))) | |
| 31.4% | (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (-.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) c)) b))) | |
| 43.7% | (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a)) a)) | |
| ▶ | 51.6% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) |
| 36.9% | (*.f64 (/.f64 #s(literal -1/2 binary64) #s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (/.f64 #s(literal -1/2 binary64) b))) (/.f64 #s(literal -1 binary64) a)) | |
| 21.3% | #s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 (/.f64 (neg.f64 (*.f64 c c)) c) b)) | |
| 32.7% | #s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) c)) b)) | |
| 21.0% | #s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b c)) (*.f64 b b))) | |
| 21.3% | #s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 (*.f64 (neg.f64 (*.f64 c c)) (/.f64 #s(literal 1 binary64) c)) b)) | |
| ✓ | 32.7% | #s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 (neg.f64 c) b)) |
| 32.1% | #s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) | |
| ▶ | 32.7% | #s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (*.f64 c (/.f64 #s(literal -1 binary64) b))) |
| 7.1% | #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))) | |
| 2.3% | #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)) | |
| 7.6% | #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))) | |
| 3.1% | #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)) | |
| 6.8% | #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)))) | |
| 16.3% | #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))) | |
| 2.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a))) | |
| ▶ | 2.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c #s(literal 1 binary64)) (/.f64 a b) (*.f64 b #s(literal 1 binary64))) (*.f64 b (/.f64 a b)))) |
| ▶ | 25.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a))) |
| ✓ | 37.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
| 36.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b))) | |
| 37.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) | |
| 2.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+.f64 (/.f64 c b) (/.f64 b a))) | |
| ▶ | 30.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) b))) |
Compiled 2 092 to 1 413 computations (32.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 192 | (/.f64 (fma.f64 (*.f64 c #s(literal 1 binary64)) (/.f64 a b) (*.f64 b #s(literal 1 binary64))) (*.f64 b (/.f64 a b))) | |
| cost-diff | 320 | (*.f64 b #s(literal 1 binary64)) | |
| cost-diff | 320 | (*.f64 c #s(literal 1 binary64)) | |
| cost-diff | 1024 | (*.f64 b (/.f64 a b)) | |
| cost-diff | 0 | (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) | |
| cost-diff | 0 | (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) b) | |
| cost-diff | 0 | (neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) b)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) b))) | |
| cost-diff | 0 | #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))) | |
| cost-diff | 64 | (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) | |
| cost-diff | 320 | (*.f64 #s(literal 0 binary64) a) | |
| cost-diff | 640 | (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) b) | |
| cost-diff | 0 | #s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (*.f64 c (/.f64 #s(literal -1 binary64) b))) | |
| cost-diff | 192 | (*.f64 c (/.f64 #s(literal -1 binary64) b)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) 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 c #s(literal -4 binary64)) a (*.f64 b b))) b)) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 311 |
| 0 | 85 | 282 |
| 1 | 168 | 273 |
| 2 | 418 | 253 |
| 3 | 958 | 253 |
| 4 | 2962 | 251 |
| 5 | 5487 | 251 |
| 0 | 8126 | 251 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) |
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) |
(*.f64 c #s(literal -4 binary64)) |
c |
#s(literal -4 binary64) |
(*.f64 b b) |
b |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (*.f64 c (/.f64 #s(literal -1 binary64) b))) |
(*.f64 c (/.f64 #s(literal -1 binary64) b)) |
c |
(/.f64 #s(literal -1 binary64) b) |
#s(literal -1 binary64) |
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))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a)) |
(-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) |
(*.f64 #s(literal 0 binary64) a) |
#s(literal 0 binary64) |
a |
(*.f64 a b) |
b |
(*.f64 a a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) b))) |
(neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) b)) |
(/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) b) |
(fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) |
c |
(/.f64 (*.f64 c a) (*.f64 b b)) |
(*.f64 c a) |
a |
(*.f64 b b) |
b |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c #s(literal 1 binary64)) (/.f64 a b) (*.f64 b #s(literal 1 binary64))) (*.f64 b (/.f64 a b)))) |
(/.f64 (fma.f64 (*.f64 c #s(literal 1 binary64)) (/.f64 a b) (*.f64 b #s(literal 1 binary64))) (*.f64 b (/.f64 a b))) |
(fma.f64 (*.f64 c #s(literal 1 binary64)) (/.f64 a b) (*.f64 b #s(literal 1 binary64))) |
(*.f64 c #s(literal 1 binary64)) |
c |
#s(literal 1 binary64) |
(/.f64 a b) |
a |
b |
(*.f64 b #s(literal 1 binary64)) |
(*.f64 b (/.f64 a b)) |
| Outputs |
|---|
(*.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 (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) a) |
#s(literal 1/2 binary64) |
a |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) 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 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) |
c |
#s(literal -4 binary64) |
(*.f64 b b) |
b |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (*.f64 c (/.f64 #s(literal -1 binary64) b))) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 (neg.f64 c) b)) |
(*.f64 c (/.f64 #s(literal -1 binary64) b)) |
(/.f64 (neg.f64 c) b) |
c |
(/.f64 #s(literal -1 binary64) b) |
#s(literal -1 binary64) |
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 (neg.f64 b) a)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a)) |
(/.f64 (neg.f64 b) a) |
(-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) |
(*.f64 (neg.f64 b) a) |
(*.f64 #s(literal 0 binary64) a) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
a |
(*.f64 a b) |
(*.f64 b a) |
b |
(*.f64 a a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (/.f64 (neg.f64 c) b) (/.f64 a b) #s(literal -1 binary64)) (/.f64 c b))) |
(neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) b)) |
(*.f64 (fma.f64 (/.f64 (neg.f64 c) b) (/.f64 a b) #s(literal -1 binary64)) (/.f64 c b)) |
(/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) b) |
(*.f64 (/.f64 (/.f64 (fma.f64 (/.f64 a b) c b) b) b) c) |
(fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) |
(*.f64 (/.f64 (fma.f64 (/.f64 a b) c b) b) c) |
c |
(/.f64 (*.f64 c a) (*.f64 b b)) |
(*.f64 (/.f64 (/.f64 c b) b) a) |
(*.f64 c a) |
a |
(*.f64 b b) |
b |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c #s(literal 1 binary64)) (/.f64 a b) (*.f64 b #s(literal 1 binary64))) (*.f64 b (/.f64 a b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+.f64 (/.f64 b a) (/.f64 c b))) |
(/.f64 (fma.f64 (*.f64 c #s(literal 1 binary64)) (/.f64 a b) (*.f64 b #s(literal 1 binary64))) (*.f64 b (/.f64 a b))) |
(+.f64 (/.f64 b a) (/.f64 c b)) |
(fma.f64 (*.f64 c #s(literal 1 binary64)) (/.f64 a b) (*.f64 b #s(literal 1 binary64))) |
(fma.f64 (/.f64 a b) c b) |
(*.f64 c #s(literal 1 binary64)) |
c |
c |
#s(literal 1 binary64) |
(/.f64 a b) |
a |
b |
(*.f64 b #s(literal 1 binary64)) |
b |
(*.f64 b (/.f64 a b)) |
a |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.9809086845710511 | (fma.f64 (*.f64 c #s(literal 1 binary64)) (/.f64 a b) (*.f64 b #s(literal 1 binary64))) | |
| accuracy | 4.479187602703536 | (/.f64 (fma.f64 (*.f64 c #s(literal 1 binary64)) (/.f64 a b) (*.f64 b #s(literal 1 binary64))) (*.f64 b (/.f64 a b))) | |
| accuracy | 16.202251612838264 | (*.f64 b (/.f64 a b)) | |
| accuracy | 62.47184940883684 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c #s(literal 1 binary64)) (/.f64 a b) (*.f64 b #s(literal 1 binary64))) (*.f64 b (/.f64 a b)))) | |
| accuracy | 0.26226536895700536 | (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) b) | |
| accuracy | 1.4112659045437892 | (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) | |
| accuracy | 11.087365580141093 | (/.f64 (*.f64 c a) (*.f64 b b)) | |
| accuracy | 42.997914264200524 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) b))) | |
| accuracy | 0.0 | (*.f64 a a) | |
| accuracy | 0.0 | (*.f64 #s(literal 0 binary64) a) | |
| accuracy | 23.32152327403633 | (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a)) | |
| accuracy | 40.288541060277524 | #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))) | |
| accuracy | 0.0 | (/.f64 #s(literal -1 binary64) b) | |
| accuracy | 0.21875 | (*.f64 c (/.f64 #s(literal -1 binary64) b)) | |
| accuracy | 43.048088460131844 | #s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (*.f64 c (/.f64 #s(literal -1 binary64) b))) | |
| accuracy | 0.0078125 | (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) | |
| accuracy | 2.13934455001073 | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) | |
| accuracy | 14.187871277436622 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) | |
| accuracy | 26.17667057714975 | (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) |
| 65.0ms | 178× | 0 | valid |
| 46.0ms | 49× | 1 | valid |
| 19.0ms | 22× | 2 | valid |
| 7.0ms | 7× | 3 | valid |
Compiled 584 to 114 computations (80.5% saved)
ival-mult: 31.0ms (32.8% of total)ival-div: 18.0ms (19.1% of total)ival-sub: 11.0ms (11.7% of total)adjust: 8.0ms (8.5% of total)ival-add: 8.0ms (8.5% of total)ival-sqrt: 8.0ms (8.5% of total)ival-pow: 6.0ms (6.4% of total)ival-neg: 2.0ms (2.1% of total)exact: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) |
(/.f64 #s(literal 1/2 binary64) a) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) |
(*.f64 c (/.f64 #s(literal -1 binary64) b)) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (*.f64 c (/.f64 #s(literal -1 binary64) b))) |
(/.f64 #s(literal -1 binary64) b) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a)) |
(*.f64 #s(literal 0 binary64) a) |
(-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a 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)) (neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) b))) |
(neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) b)) |
(/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) b) |
(fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) |
(*.f64 b (/.f64 a b)) |
(*.f64 c #s(literal 1 binary64)) |
(*.f64 b #s(literal 1 binary64)) |
(/.f64 (fma.f64 (*.f64 c #s(literal 1 binary64)) (/.f64 a b) (*.f64 b #s(literal 1 binary64))) (*.f64 b (/.f64 a b))) |
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) |
(*.f64 a a) |
(/.f64 (*.f64 c a) (*.f64 b b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c #s(literal 1 binary64)) (/.f64 a b) (*.f64 b #s(literal 1 binary64))) (*.f64 b (/.f64 a b)))) |
(fma.f64 (*.f64 c #s(literal 1 binary64)) (/.f64 a b) (*.f64 b #s(literal 1 binary64))) |
| Outputs |
|---|
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(/ 1/2 a) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* -1 (/ b a)) |
0 |
(* -1 (* a b)) |
(- (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b)) |
(/ c b) |
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3))) |
c |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
a |
(/ b a) |
(/ (+ b (/ (* a c) b)) a) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(pow a 2) |
(/ (* a c) (pow b 2)) |
(+ b (/ (* a c) b)) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* a (- (* -1 (/ c (* a b))) (/ (pow c 2) (pow b 3)))) |
(/ (* a (pow c 2)) (pow b 3)) |
(* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))) |
(/ (* a (pow c 2)) (pow b 2)) |
(* a (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(+ (/ b a) (/ c b)) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(/ (* a c) b) |
(* a (+ (/ b a) (/ c b))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* -1 (* a (- (/ c (* a b)) (* -1 (/ (pow c 2) (pow b 3)))))) |
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2)))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c b))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* 1/2 (* (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) c)) (* a (pow c 2))) (pow b 3)) |
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3)) |
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2)) |
(/ (+ c (/ (pow b 2) a)) b) |
(/ (+ (* a c) (pow b 2)) b) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(/ (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) b) |
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b) |
(* b (+ (/ 1 a) (/ c (pow b 2)))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (/ (* a c) (pow b 2)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (/ (- (/ (* a (pow c 2)) (pow b 2)) (* -1 c)) b)) |
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (* b (- (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (- (* -1 (/ (* a c) (pow b 2))) 1))) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) |
(* c (+ 1 (/ (* a c) (pow b 2)))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))) |
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))) |
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))) |
(* c (+ (/ 1 b) (/ b (* a c)))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (/ a b) (/ b c))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -1 (* c (- (* -1 (/ b (* a c))) (/ 1 b)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ a b)) (* -1 (/ b c))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 24.0ms | b | @ | -inf | ((* (/ 1/2 a) (- (sqrt (+ (* (* c -4) a) (* b b))) b)) (/ 1/2 a) (- (sqrt (+ (* (* c -4) a) (* b b))) b) (sqrt (+ (* (* c -4) a) (* b b))) (* c (/ -1 b)) (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/ -1 b) (/ (- (* 0 a) (* a b)) (* a a)) (* 0 a) (- (* 0 a) (* a b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (/ (+ (* c (/ (* c a) (* b b))) c) b)) (/ (+ (* c (/ (* c a) (* b b))) c) b) (+ (* c (/ (* c a) (* b b))) c) (* b (/ a b)) (* c 1) (* b 1) (/ (+ (* (* c 1) (/ a b)) (* b 1)) (* b (/ a b))) (+ (* (* c -4) a) (* b b)) (* a a) (/ (* c a) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (* c 1) (/ a b)) (* b 1))) |
| 4.0ms | a | @ | -inf | ((* (/ 1/2 a) (- (sqrt (+ (* (* c -4) a) (* b b))) b)) (/ 1/2 a) (- (sqrt (+ (* (* c -4) a) (* b b))) b) (sqrt (+ (* (* c -4) a) (* b b))) (* c (/ -1 b)) (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/ -1 b) (/ (- (* 0 a) (* a b)) (* a a)) (* 0 a) (- (* 0 a) (* a b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (/ (+ (* c (/ (* c a) (* b b))) c) b)) (/ (+ (* c (/ (* c a) (* b b))) c) b) (+ (* c (/ (* c a) (* b b))) c) (* b (/ a b)) (* c 1) (* b 1) (/ (+ (* (* c 1) (/ a b)) (* b 1)) (* b (/ a b))) (+ (* (* c -4) a) (* b b)) (* a a) (/ (* c a) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (* c 1) (/ a b)) (* b 1))) |
| 3.0ms | c | @ | -inf | ((* (/ 1/2 a) (- (sqrt (+ (* (* c -4) a) (* b b))) b)) (/ 1/2 a) (- (sqrt (+ (* (* c -4) a) (* b b))) b) (sqrt (+ (* (* c -4) a) (* b b))) (* c (/ -1 b)) (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/ -1 b) (/ (- (* 0 a) (* a b)) (* a a)) (* 0 a) (- (* 0 a) (* a b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (/ (+ (* c (/ (* c a) (* b b))) c) b)) (/ (+ (* c (/ (* c a) (* b b))) c) b) (+ (* c (/ (* c a) (* b b))) c) (* b (/ a b)) (* c 1) (* b 1) (/ (+ (* (* c 1) (/ a b)) (* b 1)) (* b (/ a b))) (+ (* (* c -4) a) (* b b)) (* a a) (/ (* c a) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (* c 1) (/ a b)) (* b 1))) |
| 3.0ms | a | @ | inf | ((* (/ 1/2 a) (- (sqrt (+ (* (* c -4) a) (* b b))) b)) (/ 1/2 a) (- (sqrt (+ (* (* c -4) a) (* b b))) b) (sqrt (+ (* (* c -4) a) (* b b))) (* c (/ -1 b)) (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/ -1 b) (/ (- (* 0 a) (* a b)) (* a a)) (* 0 a) (- (* 0 a) (* a b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (/ (+ (* c (/ (* c a) (* b b))) c) b)) (/ (+ (* c (/ (* c a) (* b b))) c) b) (+ (* c (/ (* c a) (* b b))) c) (* b (/ a b)) (* c 1) (* b 1) (/ (+ (* (* c 1) (/ a b)) (* b 1)) (* b (/ a b))) (+ (* (* c -4) a) (* b b)) (* a a) (/ (* c a) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (* c 1) (/ a b)) (* b 1))) |
| 3.0ms | a | @ | 0 | ((* (/ 1/2 a) (- (sqrt (+ (* (* c -4) a) (* b b))) b)) (/ 1/2 a) (- (sqrt (+ (* (* c -4) a) (* b b))) b) (sqrt (+ (* (* c -4) a) (* b b))) (* c (/ -1 b)) (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/ -1 b) (/ (- (* 0 a) (* a b)) (* a a)) (* 0 a) (- (* 0 a) (* a b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (/ (+ (* c (/ (* c a) (* b b))) c) b)) (/ (+ (* c (/ (* c a) (* b b))) c) b) (+ (* c (/ (* c a) (* b b))) c) (* b (/ a b)) (* c 1) (* b 1) (/ (+ (* (* c 1) (/ a b)) (* b 1)) (* b (/ a b))) (+ (* (* c -4) a) (* b b)) (* a a) (/ (* c a) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (* c 1) (/ a b)) (* b 1))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 630 | 3348 |
| 1 | 2036 | 3309 |
| 2 | 6816 | 3237 |
| 0 | 8092 | 3084 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(/ 1/2 a) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* -1 (/ b a)) |
0 |
(* -1 (* a b)) |
(- (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b)) |
(/ c b) |
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3))) |
c |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
a |
(/ b a) |
(/ (+ b (/ (* a c) b)) a) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(pow a 2) |
(/ (* a c) (pow b 2)) |
(+ b (/ (* a c) b)) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* a (- (* -1 (/ c (* a b))) (/ (pow c 2) (pow b 3)))) |
(/ (* a (pow c 2)) (pow b 3)) |
(* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))) |
(/ (* a (pow c 2)) (pow b 2)) |
(* a (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(+ (/ b a) (/ c b)) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(/ (* a c) b) |
(* a (+ (/ b a) (/ c b))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* -1 (* a (- (/ c (* a b)) (* -1 (/ (pow c 2) (pow b 3)))))) |
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2)))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c b))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* 1/2 (* (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) c)) (* a (pow c 2))) (pow b 3)) |
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3)) |
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2)) |
(/ (+ c (/ (pow b 2) a)) b) |
(/ (+ (* a c) (pow b 2)) b) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(/ (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) b) |
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b) |
(* b (+ (/ 1 a) (/ c (pow b 2)))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (/ (* a c) (pow b 2)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (/ (- (/ (* a (pow c 2)) (pow b 2)) (* -1 c)) b)) |
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (* b (- (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (- (* -1 (/ (* a c) (pow b 2))) 1))) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) |
(* c (+ 1 (/ (* a c) (pow b 2)))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))) |
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))) |
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))) |
(* c (+ (/ 1 b) (/ b (* a c)))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (/ a b) (/ b c))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -1 (* c (- (* -1 (/ b (* a c))) (/ 1 b)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ a b)) (* -1 (/ b c))))) |
| Outputs |
|---|
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(/.f64 (*.f64 (fma.f64 a (/.f64 (/.f64 c b) b) #s(literal 1 binary64)) c) (neg.f64 b)) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 (fma.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)) |
(/ 1/2 a) |
(/.f64 #s(literal 1/2 binary64) a) |
(* -2 (/ (* a c) b)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 (fma.f64 c (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c)) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -2 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -4 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -2 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 (fma.f64 c (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c) b) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -2 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a b) |
(* -1 (/ b a)) |
(/.f64 (neg.f64 b) a) |
0 |
#s(literal 0 binary64) |
(* -1 (* a b)) |
(*.f64 (neg.f64 a) b) |
(- (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b)) |
(/.f64 (*.f64 (fma.f64 a (/.f64 (/.f64 c b) b) #s(literal 1 binary64)) c) (neg.f64 b)) |
(/ c b) |
(/.f64 c b) |
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3))) |
(*.f64 (fma.f64 c (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c) |
c |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(*.f64 (fma.f64 a (/.f64 (/.f64 c b) b) #s(literal 1 binary64)) c) |
a |
(/ b a) |
(/.f64 b a) |
(/ (+ b (/ (* a c) b)) a) |
(/.f64 (fma.f64 (/.f64 c b) a b) a) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
(pow a 2) |
(*.f64 a a) |
(/ (* a c) (pow b 2)) |
(/.f64 (*.f64 (/.f64 c b) a) b) |
(+ b (/ (* a c) b)) |
(fma.f64 (/.f64 c b) a b) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(fma.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a)) a) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(*.f64 (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a))) a) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a)))) a) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
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(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(*.f64 (neg.f64 b) (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 4 binary64))))) (/.f64 (/.f64 c b) b)))) |
(* -2 b) |
(*.f64 #s(literal -2 binary64) b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64) #s(literal 2 binary64))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(*.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (*.f64 a (fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 4 binary64))) (/.f64 (/.f64 c b) b))) #s(literal 2 binary64))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(*.f64 (neg.f64 b) (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -2 binary64) (*.f64 a (fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 4 binary64))) (/.f64 (/.f64 c b) b))) #s(literal 2 binary64)))) |
(* -1 b) |
(neg.f64 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64) #s(literal 1 binary64))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(*.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (*.f64 a (fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 4 binary64))) (/.f64 (/.f64 c b) b))) #s(literal 1 binary64))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(*.f64 (neg.f64 b) (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -2 binary64) (*.f64 a (fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 4 binary64))) (/.f64 (/.f64 c b) b))) #s(literal 1 binary64)))) |
(* -1 (/ (- (/ (* a (pow c 2)) (pow b 2)) (* -1 c)) b)) |
(/.f64 (*.f64 (fma.f64 a (/.f64 (/.f64 c b) b) #s(literal 1 binary64)) c) (neg.f64 b)) |
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)) |
(*.f64 (fma.f64 c (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c) |
(* -1 (* b (- (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 b a)) |
(* -1 (* b (- (* -1 (/ (* a c) (pow b 2))) 1))) |
(*.f64 (neg.f64 b) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (/.f64 c b) a) b))) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(/.f64 (*.f64 (fma.f64 a (/.f64 (/.f64 c b) b) #s(literal 1 binary64)) c) (neg.f64 b)) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 c a)) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(*.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 c (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -2 binary64))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -4 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -2 binary64))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 c (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b)) b) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -2 binary64))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c b) |
(* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) |
(*.f64 (fma.f64 c (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c) |
(* c (+ 1 (/ (* a c) (pow b 2)))) |
(*.f64 (fma.f64 a (/.f64 (/.f64 c b) b) #s(literal 1 binary64)) c) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64))) c) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64)))) c) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64))))) c) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b (neg.f64 c))) c) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b (neg.f64 c)))) c) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b (neg.f64 c))))) c) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) c) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))) c) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))))) c) |
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))) |
(*.f64 (*.f64 (neg.f64 c) c) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) c) (/.f64 a (pow.f64 b #s(literal 3 binary64))))) |
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))) |
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) c) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (*.f64 c c)) |
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))) |
(*.f64 (fma.f64 a (/.f64 (/.f64 c b) b) #s(literal 1 binary64)) c) |
(* c (+ (/ 1 b) (/ b (* a c)))) |
(fma.f64 (/.f64 (/.f64 b a) c) c (/.f64 c b)) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(*.f64 (fma.f64 #s(literal -4 binary64) a (*.f64 b (/.f64 b c))) c) |
(* c (+ (/ a b) (/ b c))) |
(*.f64 (+.f64 (/.f64 b c) (/.f64 a b)) 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (neg.f64 c))) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 b b)) (*.f64 #s(literal -1/128 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c))) (pow.f64 b #s(literal 4 binary64)))))) (neg.f64 c))) (neg.f64 c))) (neg.f64 c)) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 b c)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/4 binary64)) (neg.f64 b)) (neg.f64 c))) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (pow.f64 b #s(literal 4 binary64)))))) c) b) c)) (neg.f64 c)) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c))))) (neg.f64 c)) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c)))))) (neg.f64 c)) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 1/512 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 binary64))))) (pow.f64 b #s(literal 6 binary64)) (*.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64))))) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c)))))) (neg.f64 c)) |
(* -1 (* c (- (* -1 (/ b (* a c))) (/ 1 b)))) |
(fma.f64 (/.f64 (/.f64 b a) c) c (/.f64 c b)) |
(* -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 (/ a b)) (* -1 (/ b c))))) |
(*.f64 (+.f64 (/.f64 b c) (/.f64 a b)) c) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 275 |
| 0 | 85 | 250 |
| 1 | 352 | 237 |
| 2 | 2360 | 228 |
| 0 | 8661 | 228 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) |
(/.f64 #s(literal 1/2 binary64) a) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) |
(*.f64 c (/.f64 #s(literal -1 binary64) b)) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (*.f64 c (/.f64 #s(literal -1 binary64) b))) |
(/.f64 #s(literal -1 binary64) b) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a)) |
(*.f64 #s(literal 0 binary64) a) |
(-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a 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)) (neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) b))) |
(neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) b)) |
(/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) b) |
(fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) |
(*.f64 b (/.f64 a b)) |
(*.f64 c #s(literal 1 binary64)) |
(*.f64 b #s(literal 1 binary64)) |
(/.f64 (fma.f64 (*.f64 c #s(literal 1 binary64)) (/.f64 a b) (*.f64 b #s(literal 1 binary64))) (*.f64 b (/.f64 a b))) |
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) |
(*.f64 a a) |
(/.f64 (*.f64 c a) (*.f64 b b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c #s(literal 1 binary64)) (/.f64 a b) (*.f64 b #s(literal 1 binary64))) (*.f64 b (/.f64 a b)))) |
(fma.f64 (*.f64 c #s(literal 1 binary64)) (/.f64 a b) (*.f64 b #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 a) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 b 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))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 a #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1/2 binary64)) (pow.f64 a #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) a)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal -1 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1/2 binary64))) (/.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal 1/2 binary64)) (pow.f64 a #s(literal -1 binary64))) |
(*.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal 1/2 binary64))) |
(*.f64 (neg.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 (/.f64 #s(literal -1/2 binary64) a) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 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 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (/.f64 #s(literal 1/2 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal -1 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(pow.f64 (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #s(literal -1 binary64)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (*.f64 (*.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (neg.f64 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 1/2 binary64) a)) (*.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b)) #s(literal 3 binary64))) (fma.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) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b))) (*.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) (neg.f64 b)))))) |
(/.f64 (neg.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))) (neg.f64 a)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a))) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (neg.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 #s(literal 1/2 binary64) a))) (neg.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(/.f64 (neg.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 #s(literal 1/2 binary64) a))) (neg.f64 (fma.f64 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 (neg.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) (neg.f64 (neg.f64 a))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))) (neg.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1/2 binary64))) (neg.f64 (neg.f64 a))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b)))) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 a))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))) (neg.f64 (neg.f64 (*.f64 #s(literal -2 binary64) a)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b)) #s(literal -1/2 binary64))) (neg.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (neg.f64 a)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b)) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a))) |
(/.f64 (neg.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))) #s(literal -1/2 binary64))) (neg.f64 (*.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 a)))) |
(/.f64 (neg.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))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)))) |
(/.f64 (neg.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))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 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 2 binary64) a)))) |
(/.f64 (neg.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))) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) a))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b)))) (neg.f64 (*.f64 (neg.f64 a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 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))))) (neg.f64 (*.f64 (neg.f64 a) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b)))) (neg.f64 (*.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 (*.f64 #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))))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b)))) (neg.f64 (*.f64 a (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 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))))) (neg.f64 (*.f64 a (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) #s(literal 2 binary64)) |
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1/2 binary64))) |
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(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 a a) (/.f64 b a))) |
(exp.f64 (*.f64 (log.f64 (*.f64 a (/.f64 a (*.f64 b a)))) #s(literal -1 binary64))) |
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(*.f64 a #s(literal 1 binary64)) |
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(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 a #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 a #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 a #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (/.f64 (*.f64 b a) #s(literal 1 binary64))) (neg.f64 b)) |
(/.f64 (/.f64 (*.f64 b a) #s(literal 1 binary64)) b) |
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 b a))) |
(/.f64 (*.f64 a #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 a #s(literal 1 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 b) (neg.f64 (/.f64 b a))) |
(/.f64 (*.f64 b a) (neg.f64 (neg.f64 b))) |
(/.f64 (*.f64 b a) (neg.f64 b)) |
(/.f64 (*.f64 b a) b) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (*.f64 b a)))) |
(/.f64 b (/.f64 b a)) |
(neg.f64 (*.f64 a #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 b a)) b) (*.f64 a #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) b) (*.f64 a #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 b a)) (neg.f64 b)) (*.f64 a #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (neg.f64 b)) (*.f64 a #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) b) (*.f64 a #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 b)) (*.f64 a #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 a #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) c) |
(*.f64 c #s(literal 1 binary64)) |
c |
(*.f64 #s(literal 1 binary64) b) |
(*.f64 b #s(literal 1 binary64)) |
(pow.f64 b #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64))) |
b |
(*.f64 (pow.f64 (/.f64 (*.f64 a #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64)) (*.f64 b b))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 a b) c (neg.f64 b)) #s(literal -1 binary64))) |
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(*.f64 (/.f64 (/.f64 (fma.f64 (/.f64 a b) c b) b) (neg.f64 a)) (neg.f64 b)) |
(*.f64 (/.f64 (fma.f64 (/.f64 a b) c b) (*.f64 b a)) b) |
(*.f64 (/.f64 (/.f64 (fma.f64 (/.f64 a b) c b) b) a) b) |
(*.f64 (/.f64 (fma.f64 (/.f64 a b) c b) b) (/.f64 b a)) |
(*.f64 (*.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (/.f64 a b) c b) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 a b) c b)) |
(*.f64 (pow.f64 b #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 a b) (fma.f64 (/.f64 a b) c b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 b a) (/.f64 (fma.f64 (/.f64 a b) c b) b)) |
(*.f64 (neg.f64 (fma.f64 (/.f64 a b) c b)) (*.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (/.f64 a b) c b) (*.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 a b) c b) (*.f64 a #s(literal 1 binary64)))) |
(pow.f64 (/.f64 (/.f64 a b) (/.f64 (fma.f64 (/.f64 a b) c b) b)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 a #s(literal 1 binary64)) (fma.f64 (/.f64 a b) c b)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 a #s(literal 1 binary64)) (fma.f64 (/.f64 a b) c b)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 (/.f64 a b) c b) b) a)) (/.f64 #s(literal -1 binary64) b)) |
(/.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 a b) c b) (/.f64 a b))) (neg.f64 b)) |
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(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 a b) c b) #s(literal 1 binary64))) (*.f64 a #s(literal 1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 a b) c b) b))) (neg.f64 (neg.f64 (/.f64 a b)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 a b) c b)))) (*.f64 a #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64)) (*.f64 b b)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (/.f64 a b) c (neg.f64 b)) (*.f64 a #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 a b) c)) (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64))) (*.f64 a #s(literal 1 binary64))))) |
(/.f64 (/.f64 (/.f64 (fma.f64 (/.f64 a b) c b) b) a) (pow.f64 b #s(literal -1 binary64))) |
(/.f64 (/.f64 (fma.f64 (/.f64 a b) c b) (/.f64 a b)) b) |
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(/.f64 (*.f64 (fma.f64 (/.f64 a b) c b) #s(literal 1 binary64)) (*.f64 a #s(literal 1 binary64))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 a b) c b) b)) (neg.f64 (/.f64 a b))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 a b) c b))) (*.f64 a #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64)) (*.f64 b b))) (neg.f64 (*.f64 (*.f64 a #s(literal 1 binary64)) (fma.f64 (/.f64 a b) c (neg.f64 b))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 3 binary64)))) (neg.f64 (*.f64 (*.f64 a #s(literal 1 binary64)) (fma.f64 b (-.f64 b (*.f64 (/.f64 a b) c)) (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64)) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 a b) c (neg.f64 b)) (*.f64 a #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 a b) c)) (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64))) (*.f64 a #s(literal 1 binary64)))) |
(/.f64 (/.f64 (fma.f64 (/.f64 a b) c b) b) (/.f64 a b)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64)) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 1 binary64)) (fma.f64 (/.f64 a b) c (neg.f64 b)))) |
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 3 binary64))) (*.f64 (*.f64 a #s(literal 1 binary64)) (fma.f64 b (-.f64 b (*.f64 (/.f64 a b) c)) (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 a b) c b)) (*.f64 a #s(literal 1 binary64))) |
(/.f64 (fma.f64 (/.f64 a b) c b) (*.f64 a #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 a #s(literal 1 binary64)) (fma.f64 (/.f64 a b) c b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) (/.f64 (fma.f64 (/.f64 a b) c b) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a #s(literal 1 binary64)) (fma.f64 (/.f64 a b) c b)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 1 binary64)) (fma.f64 (/.f64 a b) c b))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a b) (/.f64 (fma.f64 (/.f64 a b) c b) b)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 a #s(literal 1 binary64)) (fma.f64 (/.f64 a b) c b)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a #s(literal 1 binary64)) (fma.f64 (/.f64 a b) c b)))) |
(neg.f64 (/.f64 (fma.f64 (/.f64 a b) c b) (*.f64 a #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal 1 binary64))) (/.f64 (fma.f64 (/.f64 a b) c b) (*.f64 a #s(literal 1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64)) (*.f64 (*.f64 a #s(literal 1 binary64)) (fma.f64 (/.f64 a b) c (neg.f64 b)))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 1 binary64)) (fma.f64 (/.f64 a b) c (neg.f64 b))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64)) (fma.f64 (/.f64 a b) c (neg.f64 b))) (*.f64 a #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 b b) (fma.f64 (/.f64 a b) c (neg.f64 b))) (*.f64 a #s(literal 1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a #s(literal 1 binary64)) (fma.f64 (/.f64 a b) c b))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 (neg.f64 b) b)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) b) b))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 (neg.f64 b) b)) #s(literal -1 binary64))) |
(*.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 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) b) b))) #s(literal -1 binary64))) |
(*.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 (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (sqrt.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)))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 (neg.f64 b) b)) (-.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) b) b))) (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1 binary64)) |
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(pow.f64 (/.f64 b (*.f64 (/.f64 a b) c)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (/.f64 b c) (/.f64 b a)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 b c) (/.f64 b a)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 c b) (neg.f64 a))) (neg.f64 (neg.f64 b))) |
(/.f64 (neg.f64 (*.f64 (/.f64 c b) a)) (neg.f64 b)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 a) c))) (*.f64 (neg.f64 b) b)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 a b) c))) (neg.f64 (neg.f64 b))) |
(/.f64 (neg.f64 (/.f64 c b)) (neg.f64 (/.f64 b a))) |
(/.f64 (neg.f64 (*.f64 (*.f64 a (pow.f64 b #s(literal -2 binary64))) c)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (/.f64 c b) (neg.f64 a)) (neg.f64 b)) |
(/.f64 (*.f64 (/.f64 c b) a) b) |
(/.f64 (neg.f64 (*.f64 (neg.f64 a) c)) (*.f64 b b)) |
(/.f64 (neg.f64 (*.f64 (/.f64 a b) c)) (neg.f64 b)) |
(/.f64 (neg.f64 c) (neg.f64 (*.f64 b (/.f64 b a)))) |
(/.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 (*.f64 (neg.f64 a) c) (*.f64 (neg.f64 b) b)) |
(/.f64 (*.f64 (/.f64 a b) c) b) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 b c) (/.f64 b a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 (/.f64 a b) c))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 b c) (/.f64 b a)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b c) (/.f64 b a))) |
(/.f64 (*.f64 (*.f64 a (pow.f64 b #s(literal -2 binary64))) c) #s(literal 1 binary64)) |
(/.f64 (*.f64 c a) (*.f64 b b)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (*.f64 (/.f64 a b) c)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 b c) (/.f64 b a)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 b c) (/.f64 b a)))) |
(/.f64 c (*.f64 b (/.f64 b a))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 a) c) (*.f64 b b))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 b) b)) (/.f64 (*.f64 (neg.f64 a) c) (*.f64 b b))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 b c) (/.f64 b a))) #s(literal -1 binary64))) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 (fma.f64 (/.f64 a b) c b) (*.f64 a #s(literal 1 binary64)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64)) (*.f64 b b)) (pow.f64 (fma.f64 (/.f64 a b) c (neg.f64 b)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 3 binary64))) (pow.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 a b) c)) (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (/.f64 a b) c (neg.f64 b)) (-.f64 (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64)) (*.f64 b b))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 a b) c)) (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64))) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64)) (fma.f64 (/.f64 a b) c (neg.f64 b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 b b) (fma.f64 (/.f64 a b) c (neg.f64 b))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64)) (fma.f64 (/.f64 a b) c (neg.f64 b))) (/.f64 (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64)) (fma.f64 (/.f64 a b) c (neg.f64 b))) (fma.f64 (/.f64 (*.f64 b b) (fma.f64 (/.f64 a b) c (neg.f64 b))) (/.f64 (*.f64 b b) (fma.f64 (/.f64 a b) c (neg.f64 b))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64)) (fma.f64 (/.f64 a b) c (neg.f64 b))) (/.f64 (*.f64 b b) (fma.f64 (/.f64 a b) c (neg.f64 b))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64)))) (neg.f64 (-.f64 b (*.f64 (/.f64 a b) c)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64)) (*.f64 b b)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 a b) c (neg.f64 b))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 a b) c)) (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64)) (fma.f64 (/.f64 a b) c (neg.f64 b))) (*.f64 (fma.f64 (/.f64 a b) c (neg.f64 b)) (*.f64 b b))) (*.f64 (fma.f64 (/.f64 a b) c (neg.f64 b)) (fma.f64 (/.f64 a b) c (neg.f64 b)))) |
(/.f64 (-.f64 (*.f64 b b) (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64))) (-.f64 b (*.f64 (/.f64 a b) c))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64)) (*.f64 b b))) (neg.f64 (fma.f64 (/.f64 a b) c (neg.f64 b)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 3 binary64)))) (neg.f64 (fma.f64 b b (-.f64 (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64)) (*.f64 c (*.f64 a #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 3 binary64)))) (neg.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 a b) c)) (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64)) (*.f64 b b)) (fma.f64 (/.f64 a b) c (neg.f64 b))) |
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 3 binary64))) (fma.f64 b b (-.f64 (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64)) (*.f64 c (*.f64 a #s(literal 1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 3 binary64))) (fma.f64 b (-.f64 b (*.f64 (/.f64 a b) c)) (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 a b) c (neg.f64 b)) (-.f64 (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64)) (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 a b) c)) (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64))) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 3 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 a b) c (neg.f64 b)) (-.f64 (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64)) (*.f64 b b))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 a b) c)) (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64))) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 3 binary64)))))) |
(fma.f64 (/.f64 a #s(literal 1 binary64)) (/.f64 c b) b) |
(fma.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 a b) b) |
(fma.f64 (/.f64 c b) (/.f64 a #s(literal 1 binary64)) b) |
(fma.f64 (*.f64 (/.f64 a b) c) #s(literal 1 binary64) b) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 a b) c) b) |
(fma.f64 #s(literal 1 binary64) b (*.f64 (/.f64 a b) c)) |
(fma.f64 (/.f64 a b) (/.f64 c #s(literal 1 binary64)) b) |
(fma.f64 (/.f64 a b) c b) |
(fma.f64 (*.f64 c a) (pow.f64 b #s(literal -1 binary64)) b) |
(fma.f64 b #s(literal 1 binary64) (*.f64 (/.f64 a b) c)) |
(fma.f64 c (/.f64 a b) b) |
(fma.f64 a (*.f64 (pow.f64 b #s(literal -1 binary64)) c) b) |
(fma.f64 a (/.f64 c b) b) |
(-.f64 (/.f64 (*.f64 b b) (-.f64 b (*.f64 (/.f64 a b) c))) (/.f64 (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64)) (-.f64 b (*.f64 (/.f64 a b) c)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64)) (fma.f64 (/.f64 a b) c (neg.f64 b))) (/.f64 (*.f64 b b) (fma.f64 (/.f64 a b) c (neg.f64 b)))) |
(+.f64 (*.f64 (/.f64 a b) c) b) |
(+.f64 b (*.f64 (/.f64 a b) c)) |
Compiled 36 239 to 3 962 computations (89.1% saved)
37 alts after pruning (30 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 975 | 10 | 985 |
| Fresh | 6 | 20 | 26 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 983 | 37 | 1 020 |
| Status | Accuracy | Program |
|---|---|---|
| 36.8% | (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (+ (* (* c -4) a) (* b b))) b) (*.f64 (neg.f64 b) (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)))))) | |
| 27.6% | (/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c))) | |
| ✓ | 36.9% | (/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (/.f64 #s(literal -1/2 binary64) b))) |
| 33.0% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) | |
| 47.9% | (/.f64 #s(approx (* (- (* b b) (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (*.f64 #s(literal 2 binary64) c)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) | |
| ✓ | 51.6% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
| 36.9% | (/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (/.f64 #s(literal -1/2 binary64) b)) a)) | |
| 32.7% | (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))))) | |
| 31.4% | (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (-.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) c)) b))) | |
| 43.7% | (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a)) a)) | |
| ✓ | 51.6% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) |
| 32.9% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* c -4) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b)) | |
| 37.0% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* (* c -4) a) (* b b))) (neg.f64 b)) b)) | |
| 21.3% | #s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 (/.f64 (neg.f64 (*.f64 c c)) c) b)) | |
| 21.0% | #s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b c)) (*.f64 b b))) | |
| ✓ | 32.7% | #s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 (neg.f64 c) b)) |
| 32.1% | #s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) | |
| ✓ | 32.7% | #s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (*.f64 c (/.f64 #s(literal -1 binary64) b))) |
| 7.1% | #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))) | |
| 2.3% | #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)) | |
| 7.6% | #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))) | |
| 3.1% | #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)) | |
| 6.8% | #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)))) | |
| 16.3% | #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))) | |
| 2.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a))) | |
| 2.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (*.f64 b a) a) a)) | |
| 25.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (*.f64 (neg.f64 b) a) (*.f64 a a))) | |
| 36.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 a b) c b)) (*.f64 a #s(literal 1 binary64)))) | |
| ✓ | 37.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
| 37.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) | |
| 2.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+.f64 (/.f64 c b) (/.f64 b a))) | |
| 4.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 b (/.f64 a (*.f64 a a)))) | |
| 4.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 a (/.f64 b (*.f64 a a)))) | |
| ✓ | 30.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) b))) |
| 5.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a #s(literal 1 binary64)) (fma.f64 (/.f64 a b) c b))) #s(literal -1 binary64)))) | |
| 2.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (/ (+ (* (* c 1) (/ a b)) (* b 1)) (* b (/ a b))) (/.f64 (fma.f64 (/.f64 c b) a b) a))) | |
| 2.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (/ (+ (* (* c 1) (/ a b)) (* b 1)) (* b (/ a b))) (/.f64 b a))) |
Compiled 2 973 to 1 123 computations (62.2% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (/ (+ (* (* c 1) (/ a b)) (* b 1)) (* b (/ a b))) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (*.f64 c (/.f64 #s(literal -1 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 a (/.f64 b (*.f64 a a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 b (/.f64 a (*.f64 a a)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* (* c -4) a) (* b b))) (neg.f64 b)) b)) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (*.f64 (neg.f64 b) a) (*.f64 a a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b))) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b c)) (*.f64 b b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+.f64 (/.f64 c b) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (*.f64 b a) a) a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (/.f64 #s(literal -1/2 binary64) b)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (/ (+ (* (* c 1) (/ a b)) (* b 1)) (* b (/ a b))) (/.f64 (fma.f64 (/.f64 c b) a b) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a))) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 (/.f64 (neg.f64 (*.f64 c c)) c) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a))) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) c)) b)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 (*.f64 (neg.f64 (*.f64 c c)) (/.f64 #s(literal 1 binary64) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 a b) c b)) (*.f64 a #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) #s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (/.f64 #s(literal -1/2 binary64) b))) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* c -4) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) |
#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 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))) |
(/.f64 #s(approx (* (- (* b b) (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (*.f64 #s(literal 2 binary64) c)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) 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)) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (-.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) c)) b))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c #s(literal 1 binary64)) (/.f64 a b) (*.f64 b #s(literal 1 binary64))) (*.f64 b (/.f64 a b)))) |
(/.f64 #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 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) (*.f64 c a))) b))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) c))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c))) |
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a)) 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 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (+ (* (* c -4) a) (* b b))) b) (*.f64 (neg.f64 b) (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) |
(/.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)) |
#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))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))) |
#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 (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 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a #s(literal 1 binary64)) (fma.f64 (/.f64 a b) c b))) #s(literal -1 binary64)))) |
#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)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) a)) (fma.f64 b b (+.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)))) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(/.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(approx (* (- (* b b) (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (*.f64 #s(literal 2 binary64) c)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
4 calls:
| 19.0ms | c |
| 17.0ms | a |
| 17.0ms | (/.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)) |
| 16.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.3% | 3 | a |
| 87.9% | 4 | b |
| 51.7% | 1 | c |
| 74.6% | 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 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (/ (+ (* (* c 1) (/ a b)) (* b 1)) (* b (/ a b))) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (*.f64 c (/.f64 #s(literal -1 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 a (/.f64 b (*.f64 a a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 b (/.f64 a (*.f64 a a)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* (* c -4) a) (* b b))) (neg.f64 b)) b)) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (*.f64 (neg.f64 b) a) (*.f64 a a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b))) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b c)) (*.f64 b b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+.f64 (/.f64 c b) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (*.f64 b a) a) a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (/.f64 #s(literal -1/2 binary64) b)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (/ (+ (* (* c 1) (/ a b)) (* b 1)) (* b (/ a b))) (/.f64 (fma.f64 (/.f64 c b) a b) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a))) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 (/.f64 (neg.f64 (*.f64 c c)) c) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a))) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) c)) b)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 (*.f64 (neg.f64 (*.f64 c c)) (/.f64 #s(literal 1 binary64) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 a b) c b)) (*.f64 a #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) #s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (/.f64 #s(literal -1/2 binary64) b))) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* c -4) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) |
#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 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))) |
(/.f64 #s(approx (* (- (* b b) (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (*.f64 #s(literal 2 binary64) c)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(/.f64 #s(approx (* (- (* b b) (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (*.f64 #s(literal 2 binary64) c)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
1 calls:
| 11.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.9% | 4 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (/ (+ (* (* c 1) (/ a b)) (* b 1)) (* b (/ a b))) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (*.f64 c (/.f64 #s(literal -1 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 a (/.f64 b (*.f64 a a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 b (/.f64 a (*.f64 a a)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* (* c -4) a) (* b b))) (neg.f64 b)) b)) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (*.f64 (neg.f64 b) a) (*.f64 a a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b))) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b c)) (*.f64 b b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+.f64 (/.f64 c b) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (*.f64 b a) a) a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (/.f64 #s(literal -1/2 binary64) b)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (/ (+ (* (* c 1) (/ a b)) (* b 1)) (* b (/ a b))) (/.f64 (fma.f64 (/.f64 c b) a b) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a))) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 (/.f64 (neg.f64 (*.f64 c c)) c) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a))) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) c)) b)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 (*.f64 (neg.f64 (*.f64 c c)) (/.f64 #s(literal 1 binary64) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 a b) c b)) (*.f64 a #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) #s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (/.f64 #s(literal -1/2 binary64) b))) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* c -4) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) |
#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 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (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)) (-.f64 (/.f64 c b) (/.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)) |
#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 |
|---|---|---|
| 82.9% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (/ (+ (* (* c 1) (/ a b)) (* b 1)) (* b (/ a b))) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (*.f64 c (/.f64 #s(literal -1 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 a (/.f64 b (*.f64 a a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 b (/.f64 a (*.f64 a a)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* (* c -4) a) (* b b))) (neg.f64 b)) b)) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (*.f64 (neg.f64 b) a) (*.f64 a a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b))) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b c)) (*.f64 b b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+.f64 (/.f64 c b) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (*.f64 b a) a) a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (/.f64 #s(literal -1/2 binary64) b)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (/ (+ (* (* c 1) (/ a b)) (* b 1)) (* b (/ a b))) (/.f64 (fma.f64 (/.f64 c b) a b) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a))) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 (/.f64 (neg.f64 (*.f64 c c)) c) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a))) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) c)) b)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 (*.f64 (neg.f64 (*.f64 c c)) (/.f64 #s(literal 1 binary64) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 a b) c b)) (*.f64 a #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) #s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (/.f64 #s(literal -1/2 binary64) b))) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* c -4) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) |
#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 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
1 calls:
| 10.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.6% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (/ (+ (* (* c 1) (/ a b)) (* b 1)) (* b (/ a b))) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (*.f64 c (/.f64 #s(literal -1 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 a (/.f64 b (*.f64 a a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 b (/.f64 a (*.f64 a a)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* (* c -4) a) (* b b))) (neg.f64 b)) b)) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (*.f64 (neg.f64 b) a) (*.f64 a a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b))) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b c)) (*.f64 b b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+.f64 (/.f64 c b) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (*.f64 b a) a) a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (/.f64 #s(literal -1/2 binary64) b)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (/ (+ (* (* c 1) (/ a b)) (* b 1)) (* b (/ a b))) (/.f64 (fma.f64 (/.f64 c b) a b) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a))) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 (/.f64 (neg.f64 (*.f64 c c)) c) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a))) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) c)) b)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 (*.f64 (neg.f64 (*.f64 c c)) (/.f64 #s(literal 1 binary64) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 a b) c b)) (*.f64 a #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) #s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (/.f64 #s(literal -1/2 binary64) b))) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* c -4) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* c -4) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
1 calls:
| 8.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.6% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (/ (+ (* (* c 1) (/ a b)) (* b 1)) (* b (/ a b))) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (*.f64 c (/.f64 #s(literal -1 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 a (/.f64 b (*.f64 a a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 b (/.f64 a (*.f64 a a)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* (* c -4) a) (* b b))) (neg.f64 b)) b)) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (*.f64 (neg.f64 b) a) (*.f64 a a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b))) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b c)) (*.f64 b b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+.f64 (/.f64 c b) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (*.f64 b a) a) a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (/.f64 #s(literal -1/2 binary64) b)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (/ (+ (* (* c 1) (/ a b)) (* b 1)) (* b (/ a b))) (/.f64 (fma.f64 (/.f64 c b) a b) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a))) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 (/.f64 (neg.f64 (*.f64 c c)) c) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b a))) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) c)) b)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 (*.f64 (neg.f64 (*.f64 c c)) (/.f64 #s(literal 1 binary64) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 a b) c b)) (*.f64 a #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) #s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (/.f64 #s(literal -1/2 binary64) b))) (/.f64 #s(literal -1 binary64) a)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
2 calls:
| 7.0ms | b |
| 6.0ms | (/.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 |
|---|---|---|
| 52.0% | 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)) |
| 67.4% | 2 | b |
Compiled 18 to 17 computations (5.6% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (/ (+ (* (* c 1) (/ a b)) (* b 1)) (* b (/ a b))) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (*.f64 c (/.f64 #s(literal -1 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 a (/.f64 b (*.f64 a a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 b (/.f64 a (*.f64 a a)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* (* c -4) a) (* b b))) (neg.f64 b)) b)) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (*.f64 (neg.f64 b) a) (*.f64 a a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b))) |
#s(approx (/ (/ 1/2 a) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b c)) (*.f64 b b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+.f64 (/.f64 c b) (/.f64 b a))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
1 calls:
| 4.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.2% | 2 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (/ (+ (* (* c 1) (/ a b)) (* b 1)) (* b (/ a b))) (/.f64 b a))) |
#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)) |
4 calls:
| 1.0ms | b |
| 1.0ms | a |
| 1.0ms | c |
| 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 |
|---|---|---|
| 37.0% | 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)) |
| 37.0% | 1 | c |
| 37.0% | 1 | a |
| 37.0% | 1 | b |
Compiled 20 to 23 computations (-15% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (/ (+ (* (* c 1) (/ a b)) (* b 1)) (* b (/ a b))) (/.f64 b a))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (/ (+ (* (* c 1) (/ a b)) (* b 1)) (* b (/ a b))) (/.f64 b a))) |
4 calls:
| 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)) |
| 1.0ms | a |
| 1.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 2.6% | 1 | b |
| 2.6% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| 2.6% | 1 | a |
| 2.6% | 1 | c |
Compiled 20 to 23 computations (-15% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 2.0908110847617924e+136 | 5.062682362584688e+136 |
| 20.0ms | -9.813509064744756e-309 | 6.012701869177969e-308 |
| 18.0ms | -4.277851944119179e+116 | -5.912525817074459e+111 |
| 21.0ms | 249× | 0 | valid |
| 11.0ms | 38× | 2 | valid |
| 6.0ms | 74× | 0 | invalid |
| 4.0ms | 26× | 1 | valid |
| 2.0ms | 7× | 3 | valid |
Compiled 984 to 770 computations (21.7% saved)
ival-mult: 10.0ms (35.4% of total)ival-sqrt: 4.0ms (14.2% of total)ival-div: 3.0ms (10.6% of total)ival-sub: 3.0ms (10.6% of total)ival-add: 3.0ms (10.6% of total)ival-neg: 3.0ms (10.6% of total)adjust: 2.0ms (7.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.0908110847617924e+136 | 5.062682362584688e+136 |
| 12.0ms | -9.813509064744756e-309 | 6.012701869177969e-308 |
| 17.0ms | -3.837533202153036e+99 | -2.5234718928918348e+97 |
| 17.0ms | 176× | 0 | valid |
| 3.0ms | 41× | 0 | invalid |
Compiled 874 to 676 computations (22.7% saved)
ival-mult: 8.0ms (53.2% of total)ival-sqrt: 2.0ms (13.3% of total)ival-div: 1.0ms (6.6% of total)ival-add: 1.0ms (6.6% of total)ival-sub: 1.0ms (6.6% of total)ival-neg: 1.0ms (6.6% 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 |
|---|---|---|
| 16.0ms | 3.2882908026826565e-88 | 9.810859676245114e-88 |
| 1.0ms | -3.837533202153036e+99 | -2.5234718928918348e+97 |
| 4.0ms | 44× | 0 | valid |
| 4.0ms | 25× | 1 | valid |
| 2.0ms | 11× | 2 | valid |
| 2.0ms | 26× | 0 | invalid |
Compiled 485 to 399 computations (17.7% saved)
ival-mult: 3.0ms (36.9% of total)ival-div: 1.0ms (12.3% of total)adjust: 1.0ms (12.3% of total)ival-sub: 1.0ms (12.3% of total)ival-sqrt: 1.0ms (12.3% of total)ival-add: 1.0ms (12.3% of total)ival-neg: 1.0ms (12.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.2882908026826565e-88 | 9.810859676245114e-88 |
| 24.0ms | -4.4053871379997784e-110 | -1.1193238801344597e-118 |
| 14.0ms | 144× | 0 | valid |
| 3.0ms | 35× | 0 | invalid |
Compiled 677 to 547 computations (19.2% saved)
ival-mult: 4.0ms (40.6% of total)ival-div: 1.0ms (10.1% of total)ival-add: 1.0ms (10.1% of total)ival-sub: 1.0ms (10.1% of total)ival-sqrt: 1.0ms (10.1% of total)ival-neg: 1.0ms (10.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.2882908026826565e-88 | 9.810859676245114e-88 |
| 1.0ms | -4.4053871379997784e-110 | -1.1193238801344597e-118 |
Compiled 663 to 533 computations (19.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -9.813509064744756e-309 | 6.012701869177969e-308 |
Compiled 302 to 242 computations (19.9% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -9.813509064744756e-309 | 6.012701869177969e-308 |
Compiled 284 to 236 computations (16.9% saved)
| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 101 | 599 |
| 1 | 165 | 583 |
| 2 | 348 | 565 |
| 3 | 772 | 565 |
| 4 | 2326 | 557 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 b #s(literal -39999999999999997204797387705217589138693326005559073970463587446588919331323655615047854347577017870308912136192 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (if (<=.f64 b #s(literal 35000000000000000116554735887408976902177771021381659611048652787366740109193837227780997240233981592080091355396152670891428383098404864 binary64)) (/.f64 #s(approx (* (- (* b b) (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (*.f64 #s(literal 2 binary64) c)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))) |
(if (<=.f64 b #s(literal -799999999999999998152296196114966405572900383939230711364454911728780692385037411823295459829481472 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 151801689980483/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (if (<=.f64 b #s(literal 35000000000000000116554735887408976902177771021381659611048652787366740109193837227780997240233981592080091355396152670891428383098404864 binary64)) (/.f64 #s(approx (* (- (* b b) (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (*.f64 #s(literal 2 binary64) c)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))) |
(if (<=.f64 b #s(literal -799999999999999998152296196114966405572900383939230711364454911728780692385037411823295459829481472 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 8242260651214319/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b #s(literal -6092291808370931/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 8242260651214319/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b #s(literal -6092291808370931/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 8242260651214319/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* c -4) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))) |
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (/ (+ (* (* c 1) (/ a b)) (* b 1)) (* b (/ a b))) (/.f64 b a))) |
| Outputs |
|---|
(if (<=.f64 b #s(literal -39999999999999997204797387705217589138693326005559073970463587446588919331323655615047854347577017870308912136192 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (if (<=.f64 b #s(literal 35000000000000000116554735887408976902177771021381659611048652787366740109193837227780997240233981592080091355396152670891428383098404864 binary64)) (/.f64 #s(approx (* (- (* b b) (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (*.f64 #s(literal 2 binary64) c)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))) |
(if (<=.f64 b #s(literal -799999999999999998152296196114966405572900383939230711364454911728780692385037411823295459829481472 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 151801689980483/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (if (<=.f64 b #s(literal 35000000000000000116554735887408976902177771021381659611048652787366740109193837227780997240233981592080091355396152670891428383098404864 binary64)) (/.f64 #s(approx (* (- (* b b) (+ (* (* c -4) a) (* b b))) (/ 1/2 a)) (*.f64 #s(literal 2 binary64) c)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))) |
(if (<=.f64 b #s(literal -799999999999999998152296196114966405572900383939230711364454911728780692385037411823295459829481472 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 8242260651214319/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b #s(literal -6092291808370931/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 8242260651214319/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b #s(literal -6092291808370931/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 8242260651214319/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* c -4) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))) |
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (/ (+ (* (* c 1) (/ a b)) (* b 1)) (* b (/ a b))) (/.f64 b a))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1322 | 6995 |
| 1 | 4497 | 6724 |
| 0 | 8850 | 6495 |
| 0 | 14 | 51 |
| 0 | 23 | 51 |
| 1 | 76 | 49 |
| 2 | 536 | 48 |
| 3 | 6892 | 48 |
| 0 | 8186 | 44 |
| 0 | 630 | 3348 |
| 1 | 2036 | 3309 |
| 2 | 6816 | 3237 |
| 0 | 8092 | 3084 |
| 0 | 42 | 264 |
| 0 | 67 | 264 |
| 1 | 265 | 256 |
| 2 | 2247 | 248 |
| 0 | 8501 | 248 |
| 0 | 545 | 2858 |
| 1 | 1738 | 2817 |
| 2 | 6121 | 2789 |
| 0 | 8386 | 2654 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 145 to 478 computations (58.3% saved)
Compiled 1 240 to 238 computations (80.8% saved)
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